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Journal articles on the topic 'Cantilever beam analysis'
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1
Savarimuthu, Kirubaveni, Radha Sankararajan, Gulam Nabi Alsath M., and Ani Melfa Roji M. "Design and analysis of cantilever based piezoelectric vibration energy harvester." Circuit World 44, no. 2 (2018): 78–86. http://dx.doi.org/10.1108/cw-11-2017-0067.
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Purpose This paper aims to present the design of a cantilever beam with various kinds of geometries for application in energy harvesting devices with a view to enhance the harvested power. The cantilever beams in rectangular, triangular and trapezoidal geometries are simulated, designed and evaluated experimentally. A power conditioning circuit is designed and fabricated for rectification and regulation. Design/methodology/approach The analytical model based on Euler–Bernoulli beam theory is analyzed for various cantilever geometries. The aluminum beam with Lead Zirconate Titanate (PZT) 5H strip is used for performing frequency, displacement, strain distribution, stress and potential analysis. A comparative analysis is done based on the estimated performance of the cantilevers with different topologies of 4,500 mm3 volume. Findings The analysis shows the trapezoidal cantilever yielding a maximum voltage of 66.13 V at 30 Hz. It exhibits maximum power density of 171.29 W/mm3 at optimal resistive load of 330 kΩ. The generated power of 770.8 µW is used to power up a C-mote wireless sensor network. Originality/value This study provides a complete structural analysis and implementation of the cantilever for energy harvesting application, integration of power conditioning circuit with the energy harvester and evaluation of the designed cantilevers under various performance metrics.
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K, Ravikumar, and Ithaya Priya B. "Identification of multiple crack locations in micro cantilever beam by wavelet transforms." Indian Journal of Science and Technology 13, no. 35 (2020): 3685–94. https://doi.org/10.17485/IJST/v13i35.1472.
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Abstract <strong>Background/Objectives:</strong> Presence of cracks in micro cantilever beams badly influence the performance of the device. This study is to propose suitable method utilizing wavelet transform to detect the cracks present over the structure of micro cantilever beams. <strong>Methods:</strong> The proposed device structure was designed and modeled using COMSOL Multi-physics simulation software.The signals obtained are analyzed using wavelet transform. <strong>Findings:</strong> Micro cantilevers shows difference in its vibrational frequency, stress and deflection over various input conditions. The location of the multiple cracks which appears in micro cantilever structure due to various working conditions were perfectly identified using wavelet transform analysis. <strong>Novelty/Applications:</strong> We report the accurate locations of the crack present in micro structured devices. This ideal method can be applied on micro cantilever devices which found its applications as Transducers, Sensors, Switches, Actuators and Probes. <strong>Keywords:</strong> Wavelet analysis; crack detection; cantilever beam; MEMS;COMSOL
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Chen, Li Wen, Chia Yen Lee, Chien Hsiung Tsai, and Yung Chuan Chen. "Thermal Contact Residual Stress Analysis of Elastic-Plastic Bilayer Micro-Cantilevers with Platinum Electrodes." Materials Science Forum 505-507 (January 2006): 559–64. http://dx.doi.org/10.4028/www.scientific.net/msf.505-507.559.
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This paper studies the residual stress distributions and tip deflections of microfabricated bilayer cantilevers of varying beam thickness and platinum electrode length. The bilayer cantilevers discussed here are composed of low-stress silicon nitride films deposited on silicon beams. Platinum electrodes are deposited and patterned on the low-stress silicon nitride layers. A thermal elastic-plastic finite element model is utilized to calculate the residual stress distribution across the cantilever cross-section and to determine the cantilever tip deflection following heat treatment. A contact model is introduced to simulate the influence of contact on the residual stress distribution. The influences of the beam thickness and the platinum electrode length on the residual stress distribution and tip deflections are thoroughly investigated. The numerical results indicate that a smaller beam thickness leads to a larger compressive residual stress within the platinum electrode and delivers a larger tip deflection. The results also indicate that a larger platinum electrode length delivers a smaller tip deflection.
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Li, Ming Ming, Fang Zhen Song, and Chuan Guang Ding. "The Frequency Veering Phenomena of the Beams of Cantilever Screen." Applied Mechanics and Materials 226-228 (November 2012): 580–83. http://dx.doi.org/10.4028/www.scientific.net/amm.226-228.580.
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The special structure of beams of cantilever screen has the advantages comparing with the traditional screen and special dynamic characteristics, such as the dynamic characteristics of frequency veering. The traditional analysis method of vibrating screen is not applicable to its dynamic analysis because of the special structure. By analysis and decomposition of stiffness matrix of beams of cantilever screen, the frequency veering phenomenon of the beam of cantilever screen was explained from the point of view of modal energy equation and the influence of sub-stiffness matrix of beams of cantilever screen on the frequency veering was analyzed. The analysis results showed that the sub-stiffness matrix of the hollow beam and sub-stiffness matrix of cantilever bars is the main reason for the segmentation of modal natural frequencies and the coupling stiffness between hollow beam and cantilever bars is the main reason for the concentration of modal natural frequencies and the formation of the regular mode shapes for cantilever bars group.
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Zeng, Shan, Chunwei Zhang, Kaifa Wang, Baolin Wang, and Li Sun. "Analysis of delamination of unimorph cantilever piezoelectric energy harvesters." Journal of Intelligent Material Systems and Structures 29, no. 9 (2018): 1875–83. http://dx.doi.org/10.1177/1045389x17754273.
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Unimorph piezoelectric energy harvesters are typically a unimorph cantilever beam located on a vibrating host structure. Delamination is one of the major failure modes of such unimorph cantilevers and therefore is studied in this article. The delaminated cantilever unimorph is modeled with one through-width crack using four Euler beams connected at delamination edges. The governing equations, the corresponding boundary conditions, and the kinematic continuity conditions are derived based on the Hamiltonian principle. The solutions of the voltage and power output for the present model are derived. The influence of the position and the length of the delamination, frequency of input base excitation, and load resistance on the voltage and power output are discussed in detail. The results show that delamination in the unimorph of the energy harvester will impressively decrease the voltage and power outputs. Influences of the delamination located at the free end of the cantilever are more obvious. For a given active length of the delaminated cantilever energy harvester, it is useful to increase the overall length of the cantilever to obtain a higher voltage and power outputs.
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Xu, Jiawen, and Jiong Tang. "Modeling and analysis of piezoelectric cantilever-pendulum system for multi-directional energy harvesting." Journal of Intelligent Material Systems and Structures 28, no. 3 (2016): 323–38. http://dx.doi.org/10.1177/1045389x16642302.
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Piezoelectric cantilevers are widely used in vibration energy harvesting. Simple cantilever-based harvesters are mostly unidirectional. In this article, we develop a cantilever-pendulum system that can harvest vibratory energy of excitations from an arbitrary direction. The new design consists of a traditional piezoelectric cantilever with a pendulum attached to the tip. It is shown analytically and experimentally that with proper parametric combination this system can induce modal energy interchange between beam vibration and pendulum motions due to 1:2 internal resonance, which ultimately yields multi-directional energy harvesting by a single cantilever. The underlying mechanisms of this design are analyzed in detail.
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Taib, Bibi Nadia, Norhayati Sabani, Chan Buan Fei, Mazlee Mazalan, and Mohd Azarulsani Md Azidin. "Performance Analysis of Varied Dimensions Piezoelectric Energy Harvester." Applied Mechanics and Materials 754-755 (April 2015): 481–88. http://dx.doi.org/10.4028/www.scientific.net/amm.754-755.481.
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Thin film piezoelectric material plays a vital role in micro-electromechanical systems (MEMS), due to its low power requirements and the availability of high energy harvesting. Zinc oxide is selected for piezoelectric material because of its high piezoelectric coupling coefficient, easy to deposit on silicon substrate and excellent adhesion. Deposited ZnO and Al improve the electrical properties, electrical conductivity and thermal stability. The design, fabrication and experimental test of fabricated MEMS piezoelectric cantilever beams operating in d33 mode were presented in this paper. PVD (Physical Vapor Deposition) was selected as the deposition method for aluminium while spincoating was chosen to deposit ZnO thin film. The piezoelectric cantilever beam is arranged with self-developed experimental setup consisting of DC motor and oscilloscope. Based on experimental result, the longer length of piezoelectric cantilever beam produce higher output voltage at oscilloscope. The piezoelectric cantilevers generated output voltages which were from 2.2 mV to 8.8 mV at 50 Hz operation frequency. One of four samples achieved in range of desired output voltage, 1-3 mV and the rest samples produced a higher output voltage. The output voltage is adequate for a very low power wireless sensing nodes as a substitute energy source to classic batteries.
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Ansari, Mohd Anas. "Review on Vibration Analysis of Cracked Cantilever Beam." International Journal for Research in Applied Science and Engineering Technology 9, no. 9 (2021): 536–41. http://dx.doi.org/10.22214/ijraset.2021.38002.
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Abstract: A unique feature of fiber-reinforced composite materials is that it allows structural tailoring for favorable dynamic performance, due to the directional nature of composite materials. Because of the directed character, material coupling occurs, resulting in coupled vibration modes and complicating dynamic analysis. A transverse triangular force impulse modulated by a harmonic motion excites the beam. For the substance of the beam, the Kelvin–Voigt model is employed. The fractured beam is represented by two sub-beams linked by a massless elastic rotating spring. The beams are designed to function in wet environments, which cause rusting. Corrosion causes cracks to form in beams, altering their inherent frequency and mode shape. The present paper examines the different investigations that have been done to investigate the impact of fracture on the dynamic properties of beams. The researchers provided a comprehensive evaluation of the impact of crack design factors (crack depth, crack location) on cantilever beam transverse and torsional frequencies. It is also given the analytical approach, numerical method, and experimental methods for studying the impact of fracture on vibration characteristics. Keywords: Cantilever Beam, Crack dimensions, Damage, Kelvin–Voigt model.
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Uddin, Md Shazib, Md Imran Khan, Sadman Bin Shafiq, et al. "Structural Analysis and material selection for biocompatible cantilever beam in soft robotic nanomanipulator." BIBECHANA 20, no. 2 (2023): 183–89. http://dx.doi.org/10.3126/bibechana.v20i2.55037.
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This paper investigates the selection of appropriate materials for cantilever beams in surgical robotic nanomanipulators. Cantilever beams play a crucial role in soft robotic surgery. Biocompatible materials, which have minimal adverse effects on biological systems, are commonly used for these beams. Using SOLIDWORKS software simulation, the study assesses the flexibility of cantilever beams made from different biocompatible materials. The analysis involves varying the applied force (0.001 µN to 0.004 µN), beam length (80 µm, 120 µm, and 160 µm), and beam thickness (0.4 µm, 0.6 µm, and 0.8 µm). Four materials—Alumina, Poly-Ether-Ether-Ketone (PEEK), Polyurethane (PUR), and Ti-6Al-4V—are evaluated. Simulation results highlight Polyurethane (PUR) as a suitable material for cantilever beams in nanomanipulators due to its favorable properties. These findings provide valuable insights for the design and advancement of efficient and reliable robotic nanomanipulators, advancing the field of soft robotic surgery.
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Fadlelbari, M. Faisal. "Efficiency of Vierendeel Girder, Post-tensioned Girders and Steel Beams for Long Cantilevers in Buildings." FES Journal of Engineering Sciences 9, no. 1 (2021): 79–85. http://dx.doi.org/10.52981/fjes.v9i1.662.
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Cantilevers are a part of our life, they are everywhere: bridg–es, building’s balconies, traffic signs, car parking shades even the aircraft’s wings. The long cantilevers of the buildings always present as a big challenge to structural engineers in their practice life. The structural behavior of these cantilevers depends on a several factors, such as rigidity of the slab, rigidity of columns or walls, span continuity... etc. But the real dilemma lies in the economical choice. This paper focused on the cantilever’s structural analysis according to the used structural. Moreover, it shows a comparison between three structural system choices: Vierendeel Girder, Post - Tensioned Girders and Steel Composite Beam in a graph. The objective of this paper is to give a guideline to the structural engineers to choose the optimum system of the building cantilevers according to the factors mentioned earlier. At the end, the paper illustrated the Vierendeel girder is the most efficient system for cantilevers. Accordingly, recommendations result on that up to 4.0 m cantilever length steel beams will be enough, for more than 4.0 and less than or equal to 6.0 m post-tension is recommended, and for more than 6.0 m cantilever we should use Vierendeel girder.
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Du, Xiaoyu, Yijun Zhou, Lingzhen Li, Cecilia Persson, and Stephen J. Ferguson. "The porous cantilever beam as a model for spinal implants: Experimental, analytical and finite element analysis of dynamic properties." Mathematical Biosciences and Engineering 20, no. 4 (2023): 6273–93. http://dx.doi.org/10.3934/mbe.2023270.
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<abstract> <p>Investigation of the dynamic properties of implants is essential to ensure safety and compatibility with the host's natural spinal tissue. This paper presents a simplified model of a cantilever beam to investigate the effects of holes/pores on the structures. Free vibration test is one of the most effective methods to measure the dynamic response of a cantilever beam, such as natural frequency and damping ratio. In this study, the natural frequencies of cantilever beams made of polycarbonate (PC) containing various circular open holes were investigated numerically, analytically, and experimentally. The experimental data confirmed the accuracy of the natural frequencies of the cantilever beam with open holes calculated by finite element and analytical models. In addition, two finite element simulation methods, the dynamic explicit and modal dynamic methods, were applied to determine the damping ratios of cantilever beams with open holes. Finite element analysis accurately simulated the damped vibration behavior of cantilever beams with open holes when known material damping properties were applied. The damping behavior of cantilever beams with random pores was simulated, highlighting a completely different relationship between porosity, natural frequency and damping response. The latter highlights the potential of finite element methods to analyze the dynamic response of arbitrary and complex structures, towards improved implant design.</p> </abstract>
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Pan, Jian Rong, Zhan Wang, Lin Qiang Zheng, and Zheng Ting Yang. "Finite Element Analysis of Beam-Column Connection with Cantilever Beam Splicing." Advanced Materials Research 838-841 (November 2013): 540–44. http://dx.doi.org/10.4028/www.scientific.net/amr.838-841.540.
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Beam-column connection with cantilever beam bolted-splicing is also known as the joint of column-tree moment-resisting frame. The study is still relatively small for the semi-rigid behavior and rotational stiffness of the joint. This paper deal with four specimens of the joints with cantilever beam splicing and four specimens of the welded joints by using three dimensional finite element model analysis. The strain, stress, yield and ultimate loads, yield and ultimate deformations had been compared between the joint with cantilever beam splicing and the welded joint. The analysis results show that, when the splicing area of the joint with cantilever beam splicing was designed more strongly, the stress distribution, the load-displacement curves in elastic working stage, and the initial rotational stiffness are good agreement between the joint with cantilever beam splicing and the welded joint. The hysteresis curves of the joint with cantilever beam splicing were inverse S-shaped, indicating that there was greater slipping deformation because of bolt splicing. The welded joint had no slipping phenomenon.
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Santos, Erivelton, and Hanz Richter. "Design and Analysis of Novel Actuation Mechanism with Controllable Stiffness." Actuators 8, no. 1 (2019): 12. http://dx.doi.org/10.3390/act8010012.
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Actuators intended for human–machine interaction systems are usually designed to be mechanically compliant. Conventional actuators are not suitable for this purpose due to typically high stiffness. Advanced powered prosthetic and orthotic devices can vary their stiffness during a motion cycle and are power-efficient. This paper proposes a novel actuator design that modulates stiffness by means of a flexible beam. A motorized drive system varies the active length of the cantilever beam, thus achieving stiffness modulation. New large deflection formulation for cantilever beams with rolling contact constraints is used to determine the moment produced by the actuator. To validate the proposed solution method, an experiment was performed to measure large static deformations of a cantilever beam with the same boundary conditions as in the actuator design. The experiments indicate excellent agreement between measured and calculated contact forces between beam and roller, from which the actuator moment is determined.
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M berg, Alex, Michal K. Budzik, and Henrik M. Jensen. "Analysis of Perturbed Crack Front ina Cantilever Beam Geometry." Journal of The Adhesion Society of Japan 51, s1 (2015): 231–32. http://dx.doi.org/10.11618/adhesion.51.231.
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Kong, Sheng Li. "Bending Analysis of Cantilever Micro-Beams Based on Strain Gradient Elasticity Theory." Advanced Materials Research 694-697 (May 2013): 172–75. http://dx.doi.org/10.4028/www.scientific.net/amr.694-697.172.
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The bending deformation problem of cantilever micro-beams is solved analytically on the basis of strain gradient elasticity theory. The governing equations and boundary conditions are obtained by using Hamiltons principle. The size effect on deflections of the cantilever micro-beams is analyzed. It is found that the deflections of the cantilever micro-beams predicted by the newly model are size-dependent. The difference between the natural frequencies predicted by the newly established model and classical beam model is assessed.
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DR, CH S. NAGA PRASAD CHEVALA. "Design and Analysis of Cantilever Beam." Design and Analysis of Cantilever Beam 9, no. 5 (2017): 0682–85. https://doi.org/10.5281/zenodo.14231345.
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This study investigates the deflection and stress distribution in a long, slender cantilever beam of uniform rectangular cross section made of linear elastic material properties that are homogeneous and isotropic. The deflection of a cantilever beam is essentially a three dimensional problem. An elastic stretching in one direction is accompanied by a compression in perpendicular directions. In this project ,static and Modal analysis is a process to determine the stress ,strain and deformation. vibration characteristics (natural frequencies and mode shapes) of a structure or a machine component while it is being designed. It has become a major alternative to provide a helpful contribution in understanding control of many vibration phenomena which encountered in practice. In this work we compared the stress and natural frequency for different material having same I, C and T cross- sectional beam. The cantilever beam is designed and analyzed in ANSYS. The cantilever beam which is fixed at one end is vibrated to obtain the natural frequency, mode shapes and deflection with different sections and materials.
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Ma, Shu Min, Chao Chen, Tao Wang, Huan Zhang, and Hong Xi Zhou. "Finite Element Analysis of Four-Leg Capacitive Accelerometer." Applied Mechanics and Materials 184-185 (June 2012): 1562–65. http://dx.doi.org/10.4028/www.scientific.net/amm.184-185.1562.
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MEMS are the manufacturing of a wide variety of items that are mechanical and electronic in nature. This paper describes a capacitive accelerometer technology using sense element structures. The sense element consists of a symmetrically flat plate of mass supported by four L shaped cantilevers, beams and frameworks. Capacitor plates located on the surface are used to detect the displacement. By using the finite element analysis method to build a model, analyzing the maximal displacement of mass, resonant frequency and stress of cantilever beam with different length, width and thickness.
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Chinka, Siva Sankara Babu, Balakrishna Adavi, and Srinivasa Rao Putti. "Influence of Crack on Modal Parameters of Cantilever Beam Using Experimental Modal Analysis." Journal of Modeling and Simulation of Materials 1, no. 1 (2018): 16–23. http://dx.doi.org/10.21467/jmsm.1.1.16-23.
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In this paper, the dynamic behavior of a cantilever beam without and with crack is observed. An elastic Aluminum cantilever beams having surface crack at various crack positions are considered to analyze dynamically. Crack depth, crack length and crack location are the foremost parameters for describing the health condition of beam in terms of modal parameters such as natural frequency, mode shape and damping ratio. It is crucial to study the influence of crack depth and crack location on modal parameters of the beam for the decent performance and its safety. Crack or damage of structure causes a reduction in stiffness, an intrinsic reduction in resonant frequencies, variation of damping ratios and mode shapes. The broad examination of cantilever beam without crack and with crack has been done using Numerical analysis (Ansys18.0) and experimental modal analysis. To observe the exact higher modes of beam, discretize the beam into small elements. An experimental set up was established for cantilever beam having crack and it was excited by an impact hammer and finally the response was obtained using PCB accelerometer with the help sound and vibration toolkit of NI Lab-view. After obtaining the Frequency response functions (FRFs), the natural frequencies of beam are estimated using peak search method. The effectiveness of experimental modal analysis in terms of natural frequency is validated with numerical analysis results. This paper contains the study of free vibration analysis under the influence of crack at different points along the length of the beam.
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Tamil Selvan, Ramadoss, W. A. D. M. Jayathilaka, Amutha Chinappan, Hilaal Alam, and Seeram Ramakrishna. "Modelling and Analysis of Elliptical Cantilever Device Using Flexure Method and Fabrication of Electrospun PVDF/BaTiO3 Nanocomposites." Nano 15, no. 01 (2020): 2050007. http://dx.doi.org/10.1142/s1793292020500071.
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Cantilever-based piezoelectric has been the most preferred technique for energy harvesting and sensing application due to its simple design. The energy conversion efficiency has been continuously improved by exploring alternative cantilever geometries by increasing the stress distribution on the beam surface. In this paper, we have introduced half elliptical and full elliptical profile modification in the cantilever structure to improve and uniformly distribute the stress at the beam surface. Stress distribution characteristics of the modified cantilever beams were investigated and compared using finite element analysis. Based on the theoretical and finite element analysis, cantilever beams were fabricated using 3D print technology. Fabricated cantilever beams were then used to investigate the piezoelectric performances of polyvinylidene fluoride (PVDF) in composite of barium titanate (BaTiO3) nanoparticles in the form of electrospun composite nanofibers. FTIR analysis shows successful conversion of alpha phase to beta phase of PVDF and PVDF/BaTiO3 nanocomposites. During 6[Formula: see text]Hz cyclic actuating experiment, maximum voltage output of 0.15[Formula: see text]V and 1.5[Formula: see text]nA current output were observed. The concept was proposed to replace MEMS-based sensor in hand tremor quantification to assist Parkinson disease management.
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Mishra, Manish Kumar, P. M. Mishra, and Vikas Dubey. "Deflection Modelling of MEMS Cantilever Beam Through Collocation Method Taking B-Splinesas Approximating Functions." International Journal of Social Ecology and Sustainable Development 13, no. 3 (2022): 1–15. http://dx.doi.org/10.4018/ijsesd.290007.
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The Mathematical Modeling and Analysis of cantilever beam adhesion problem, under the action of electrostatic attraction force iscarried out. The model uses Euler-Bernoulli beam theory for one end fixed and other end free type beams for small deflection. A MATLAB code has prepared to predict and plot the deflection profile of MEMS cantilever beam during the action of stiction force on application of applied voltage as snap down occurs. The model predicts the cantilever behavior on occurrence of snap downvoltage. To envisage the deflection profile, A collocation method employing B-Spline as approximating functions & Gaussian quadrature point as collocation points has been utilized for solving the governing equation by keeping the four end boundary conditions of cantilever beam in mind. The numerical results reveal the deflection profile of the MEMS cantilever Beam, which are validated with the previous data & deflection profile available by numerous published research papers
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Du, Xiaokang, Jing Zhang, Xian Guo, Liang Li, and Dingguo Zhang. "Dynamics Analysis of Rotating Cantilever Beams with Free End Mass." Applied Sciences 12, no. 15 (2022): 7553. http://dx.doi.org/10.3390/app12157553.
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An improved modeling method for the dynamics analysis of rotating cantilever beams with free end mass is introduced. The proposed improved modeling method is based on the nonlinear Green strain theory in this study. By using the Hamilton principle and the Galerkin method, the discrete dynamic equations of the axial and chordwise motions are obtained. Meanwhile, the equations for free vibrations analysis of the rotating cantilever beam with free end mass are derived by introducing the equilibrium axial deformation into both axial and chordwise motions. Numerical simulations are performed to validate the proposed model, and the results are compared and discussed with the other modeling methods. The comparison shows that even a small free end mass has an important influence on the dynamic characteristics of the rotating beam. Furthermore, the influences of various parameters on the vibration frequencies and axial deformations of the rotating cantilever beams are analyzed, such as the angular speed, the free end mass to beam mass ratio, and the center body radius to beam length ratio. Under the same conditions, the influence of the free end mass on the variation in the first- and high-order frequencies with the increasing angular speed are different.
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WANG, Q. "EFFECTS OF THE FOLLOWER FORCE ON THE STATIC BUCKLING OF BEAMS." International Journal of Structural Stability and Dynamics 02, no. 03 (2002): 425–30. http://dx.doi.org/10.1142/s0219455402000622.
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The paper discusses the effect of a follower force on the buckling capacities of a beam structure subjected to a non-follower force. The potential of the research is on the application of smart materials in the buckling enhancement of beams, since the follower force is always modeled at the interaction between the smart materials and the substrate. The buckling capacities of beams with different boundary conditions are obtained analytically. Trivial solutions are found for the simply supported beam, beam with two fixed ends, and propped cantilever beam. However, the result from the analysis of a cantilever beam shows that, when the value of follower force is small, the buckling load decreases with the increase of the follower force. Nevertheless, the buckling capacity of the cantilever beam "jumps" to a big value if the follower force on the beam is relative large and beyond a critical value. This observation indicates that by properly applying the follower force with smart materials, the buckling capacities of the beam can be enhanced dramatically for the cantilever beams. It is hoped that this work will enable designers to capitalize on the effectiveness of using piezoelectric actuators or SMA in enhancing the buckling capacities of beams.
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Gao, De, Fu-de Lu, and Si-jia Chen. "Drop Impact Analysis of Cushioning System with an Elastic Critical Component of Cantilever Beam Type." Mathematical Problems in Engineering 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/379068.
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In some electronic products and sculpture crafts, there are possibly vulnerable elements that can be idealized as cantilever beam type, failure of which will certainly lead the whole product to lose function. Based on the critical component of cantilever beam type, a nonlinear coupling dynamics model between the critical component and the item was established. The computing procedure of the model was designed using finite difference scheme. A numerical example shows that the acceleration changes notably with the length of the critical component, and the cantilevered end of the critical component is liable to be damaged, because the dynamic stress there is the largest. In this case, the maximum acceleration just cannot serve as the damaged criterion of the packaged goods, only with the maximum stress value. In order to avoid making a mistake, it is necessary to consider the critical component as an elastic element. The maximum stress of the cantilever beam surpasses the proportional limit of elastic components or is not an effective structural strength to determine whether the product loses its functions.
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Kondo, Kyohei. "Analysis of Potential Energy Release Rate of Composite Laminate Based on Timoshenko Beam Theory." Key Engineering Materials 334-335 (March 2007): 513–16. http://dx.doi.org/10.4028/www.scientific.net/kem.334-335.513.
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The Timoshenko beam theory is used to model each part of cracked beam and to calculate the potential energy release rate. Calculations are given for the double cantilever beam specimen, which is simulated as two separate beams connected elastically along the uncracked interface.
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Tang, Yujuan, Yusong Chen, Xinjie Wang, and Zhong Yang. "Theoretical and experimental analysis on deflection control of photovoltaic-electrostatic cantilever beam." Advances in Mechanical Engineering 11, no. 7 (2019): 168781401986328. http://dx.doi.org/10.1177/1687814019863281.
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A model of photovoltaic-electrostatic cantilever beam based on lanthanum-modified lead zirconate titanate ceramic is proposed in this article. New equivalent electrical model of lanthanum-modified lead zirconate titanate ceramic connected to a parallel plate composed of two copper foils is obtained by modifying the original lanthanum-modified lead zirconate titanate equivalent electrical model. After that, the mathematical model of photovoltaic-electrostatic cantilever beam is established. Furthermore, the influences of ultraviolet light intensity and copper foil length on the deflection of the photovoltaic-electrostatic cantilever beam are analyzed via the theoretical and experimental methods. The analysis results indicate that the deflection at the free end of cantilever beam increases with the increase in light intensity and length of the copper foil. The photovoltaic-electrostatic flexible cantilever beam can be taken as a micro-actuator with the advantages of remote control and clean drive.
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Abdulsahib, Imad A., and Qasim A. Atiyah. "Vibration Analysis of a Symmetric Double-Beam with an Elastic Middle Layer at Arbitrary Boundary Conditions." Mathematical Modelling of Engineering Problems 9, no. 4 (2022): 1136–42. http://dx.doi.org/10.18280/mmep.090433.
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Vibration of double beams with an elastic connected layer has been studied in this paper by assuming that the beam is a Bernoulli-Euler beam. The natural frequencies equations of the symmetric double beam have been computed at arbitrary boundary conditions. The behavior of those frequencies has been investigated with a change in the stiffness of connected layer, modulus of elasticity of beam, length of beam, mass density of beam, and thickness of beam. The high effect of the elastic connected layer on the higher natural frequencies of a cantilever double beam is less than that in the clamped and free double beams. The increase in the thickness of upper and lower beams made a high increase in the values of lower natural frequencies in all types of beams. The change in the modulus of elasticity values of double beam becomes high on the lower natural frequencies but without enlarging the influence on the higher frequencies, especially in the cantilever double beam. The similar effect of change in the mass density of the beam resulted in the same influence on the higher and lower natural frequencies in all types of beams. The length of the beam enlarges the influence on the higher natural frequencies of clamped and free.
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Li, Yuejuan, Xulei Hou, Wei Qi, Qiubo Wang, and Xiaolu Zhang. "Modeling and Analysis of Multiple Attached Masses Tuning a Piezoelectric Cantilever Beam Resonant Frequency." Shock and Vibration 2020 (October 26, 2020): 1–12. http://dx.doi.org/10.1155/2020/6971983.
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Mechanical vibrations have been an important sustainable energy source, and piezoelectric cantilevers operating at the resonant frequency are regarded as one of the effective mechanisms for converting vibration energy to electricity. This paper focuses on model and experimental investigations of multiple attached masses on tuning a piezoelectric cantilever resonant frequency. A discrete model is developed to estimate the resonant frequencies’ change of a cantilever caused by multiple masses’ distribution on it. A mechanism consisted of a piezoelectric cantilever with a 0.3 g and a 0.6 g movable mass along it, respectively, is used to verify the accuracy of the proposed model experimentally. And another mechanism including a piezoelectric cantilever with two 0.3 g attached masses on it is also measured in the designed experiment to verify the discrete model. Meanwhile, the results from the second mechanism were compared with the results from the first one in which the single attached mass is 0.6 g. Two mechanisms have wildly different frequency bandwidths and sensitivities although the total weight of attached masses is the same, 0.6 g. The model and experimental results showed that frequency bandwidth and sensitivity of a piezoelectric cantilever beam can be adjusted effectively by changing the weight, location, and quantity of attached masses.
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Liu, J., YM Shao, and WD Zhu. "Free vibration analysis of a cantilever beam with a slant edge crack." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 5 (2016): 823–43. http://dx.doi.org/10.1177/0954406216631006.
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As one of major failure modes of mechanical structures subjected to periodic loads, edge cracks due to fatigue can cause catastrophic failures in such structures. Understanding vibration characteristics of a structure with an edge crack is useful for early crack detection and diagnosis. In this work, a new cracked cantilever beam model is presented to study the vibration of a cantilever beam with a slant edge crack, which cannot be modeled by previous methods considering a uniform edge crack along the width of the beam in the literature. An equivalent stiffness model is proposed by dividing the beam into numerous uniform independent thin pieces along its width. The beam is assumed to be an Euler–Bernoulli beam. The crack is assumed to be distributed along the width of the beam as a straight line and a parabola. The methodology proposed in this work can also be extended to model a crack with an arbitrary curve. Effects of crack depths on the nondimensional equivalent stiffness at the crack section of the cracked cantilever beam are studied. The first three nature frequencies and mode shapes of the cracked cantilever beam are obtained using compatibility conditions at crack tips and the transfer matrix method. Effects of depths and the location of the crack on the first three natural frequencies and mode shapes of the cracked cantilever beam are studied using the proposed cracked cantilever beam model. Numerical results from the proposed model are compared with those from the finite element method and an experimental investigation in the literature, which can validate the proposed model.
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Damircheli, M., and M. H. Korayem. "Dynamic analysis of AFM by applying Timoshenko beam theory in tapping mode and considering the impact of interaction forces in a liquid environment." Canadian Journal of Physics 92, no. 6 (2014): 472–83. http://dx.doi.org/10.1139/cjp-2012-0355.
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In an atomic force microscope (AFM), the cantilever vibrates by excitation at a frequency near the fundamental frequency, and the changes in vibration parameters, which result from the nonlinear forces of interaction between sample and cantilever tip, can be used as a tool to reveal the properties of the sample. To properly describe the images acquired by the AFM and to approximate the properties of the investigated sample, it is essential to use analytical and numerical models that can accurately simulate the dynamics of the cantilever and sample. For short beams, the Timoshenko model seems to be very accurate. Considering the fact that short beams (cantilevers) have many applications including the imaging of biological samples in liquid environments, the use of this theory seems to be necessary. In this paper, by employing the Timoshenko beam model, the effect of rotational inertia and shear deformation has been taken into consideration. The interaction forces between sample and cantilever in liquid, ambient air, and vacuum environments are quite different in terms of magnitude and formulation, and they play a significant role in the system’s dynamic response. These forces include hydrodynamic forces, electrostatic double layer force, etc. Using an accurate model for the interaction forces will improve the simulation results significantly. In this paper, the frequency response of the atomic force microscope has been investigated by applying the Timoshenko beam model and considering the forces of interaction between sample and tip in the air and liquid environments. The results indicate that the resonant frequency changes and cantilever vibration amplitude diminishes in a liquid environment compared to the air environment. The simulation results have good agreement with the experimental ones. The frequency responses for the attractive and repulsive regions in the two environments are compared and it is demonstrated that the dynamic response is highly dependent on the hydrodynamic and interaction forces in the liquid medium.
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Daneshmehr, Ali Reza, Majid Akbarzadeh Khorshidi, and Delara Soltani. "Dynamic Analysis of a Micro-Cantilever Subjected to Harmonic Base Excitation via RVIM." Applied Mechanics and Materials 332 (July 2013): 545–50. http://dx.doi.org/10.4028/www.scientific.net/amm.332.545.
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In this paper, dynamic analysis of a cantilever beam with micro-scale dimensions is presented. The micro-cantilever is subjected to harmonic base excitation and constant force at micro-cantilever tip. By Euler-Bernoulli beam theory assumptions, the mathematical formulation of vibrating micro-cantilever beam is derived using extended Hamilton principle. The governing partial-diffrential equation is solved by reconstruction of variational iteration method (RVIM), with possession of its boundary conditions. The RVIM is an approximate method of solving that answers easy and quick and has high accuracy.
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Morgan, J. "Analysis of beams subjected to large deflections." Aeronautical Journal 93, no. 929 (1989): 356–60. http://dx.doi.org/10.1017/s0001924000017292.
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SynopsisThe transfer matrix method of structural analysis is applied to the problem of beams subjected to large deflections by dividing the beam into a large number of uniform sections and applying elementary bending theory to each section. The solution using this method is compared with the theoretical solution of Bisshopp and Drucker for large deflections in uniform cantilever beams. The method has also been applied to uniform and tapered cantilever beams at various angles to the horizontal under vertical point loading and the results compared with experimental data obtained from laboratory measurements.
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Janchikoski, Aline Ribeiro, and José Filipe Bizarro Meireles. "Dynamic analysis of a free vibrating cantilever beam." Núcleo do Conhecimento 01, no. 06 (2023): 123–42. https://doi.org/10.32749/nucleodoconhecimento.com.br/engineering-mechanical-engineering/dynamic-analysis.
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This paper has as subject a theoretical, numerical and experimental study of the behavior of a 1.5 meters long and cross section of 0.02 meters wide and high beam. The main objective was to analyze a structure, in this case it was a cantilever steel beam, to establish the possible solutions that best define the behavior of this structure, to obtain the results and to prove the veracity of the results obtained by means of an experimental analysis method. In this sense, essential theoretical foundations were used for the understanding and realization of the mathematical formulations of this project, in order to obtain the analytical results of the vibration modes of the beam and respective natural frequencies. To complement the analysis of the beam behavior, the finite element method procedure was applied using the ansys software to obtain more accurate results. The results obtained for the beam from these two methodologies include bending modes among the first 10 degrees of freedom. To validate the study done previously a physical model of the beam was used for the experimental test, for this it was defined that the equipment for measuring the resonance frequencies would be a digital stroboscope, enabling the measurement of only 8 vibration modes due to its small frequency range.
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Liu, C. C., S. C. Yang, and C. K. Chen. "Nonlinear Dynamic Analysis of Micro Cantilever Beam Under Electrostatic Loading." Journal of Mechanics 28, no. 1 (2012): 63–70. http://dx.doi.org/10.1017/jmech.2012.6.
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ABSTRACTA hybrid differential transformation / finite difference scheme is used to analyze the complex nonlinear behavior of an electrostatically-actuated micro cantilever beam which high aspect ratios (length/width). The validity of the proposed method is confirmed by comparing the numerical results obtained for the tip displacement and pull-in voltage of the cantilever beam with the analytical and experimental results presented in the literature. The hybrid scheme is then applied to analyze both the steady-state and the dynamic deflection behavior of the cantilever beam as a function of the applied voltage. Overall, the results confirm that the hybrid method provides an accurate and computationally-efficient means of analyzing the complex nonlinear behavior of both the current micro cantilever beam system and other micro-scale electrostatically-actuated structures.
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Liu, Chun Lei, and Su Juan Dai. "The Best Position to Determine the Hinge in the Cantilever Bridge." Applied Mechanics and Materials 578-579 (July 2014): 814–17. http://dx.doi.org/10.4028/www.scientific.net/amm.578-579.814.
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The simple-supported beam bridge is a common structure form widely used in small and medium span bridges. When the span is longer, the maximum bending moment is accordingly bigger. The maximum positive and negative bending moment numerical of beam decreases obviously because of cantilever bridge with cantilever beams to reduce the amount of materials. This article analyzes the current commonly used cantilever bridge with large span. The two-span cantilever bridge is analyzed under various loads about the internal force according to the condition of the absolute value of the maximum positive and negative bending moment being equal. It carries on the contrast and analysis about simple-supported beam bridges and obtains the best location of the hinge in the cantilever bridge. Moreover, it provides some reference for the optimum design of similar bridges and projects.
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Cai, Zhaoxin, Kuntao Zhou, Tao Yang, and Shuying Hao. "Analysis of Dynamic Characteristics of Tristable Exponential Section of Piezoelectric Energy Harvester." Energies 16, no. 18 (2023): 6609. http://dx.doi.org/10.3390/en16186609.
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Variable-cross-section beams have better mass and strength distribution compared with constant cross-section beams, which can optimize the harvesting power of piezoelectric vibration energy harvesters, which are widely used in self-supplied and low-power electronic devices, providing more convenience and innovation for the development of micromechanical intelligence and portable mobile devices. This paper proposes a piezoelectric energy harvester with a tristable-exponential-decay cross section, which optimizes the strain distribution of the cantilever beam through exponential decay changes to improve the harvesting efficiency of the harvester in low-frequency environments. First, the nonlinear magnetic force is obtained based on the magnetic dipole, and the dynamic model is established by using the Euler–Bernoulli beam theory and Lagrangian equation. The influence of the structural parameters of the harvester on the system dynamics and output characteristics is analyzed in the two dimensions of time and frequency, and the influence of the exponential decay coefficient on the system dynamic response and output power is deeply studied. The research shows that the exponential decay section can reduce the first natural frequency of the cantilever beam; by changing the amplitude, frequency, d and dg of the excitation acceleration, the switching of the monostable, tristable and bistable states of the system can be realized. With a decrease in the exponential decay coefficient, under a low-frequency excitation of 0–7 Hz, the output power of the cantilever beam per unit volume is significantly improved, and under a 4 Hz low-frequency excitation, the acquisition output power per unit volume of the cantilever beam is increased by 7 times, thus realizing low-frequency, high-efficiency energy harvesting.
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Nikolić, Aleksandar, and Slaviša Šalinić. "A rigid multibody method for free vibration analysis of beams with variable axial parameters." Journal of Vibration and Control 23, no. 1 (2016): 131–46. http://dx.doi.org/10.1177/1077546315575818.
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This paper presents a new approach to the problem of determining the frequencies and mode shapes of Euler–Bernoulli tapered cantilever beams with a tip mass and a spring at the free end. The approach is based on the replacement of the flexible beam by a rigid multibody system. Beams with constant thickness and exponentially and linearly tapered width, as well as double-tapered cantilever beams are considered. The influence of the tip mass, stiffness of the spring, and taper on the frequencies of the free transverse vibrations of tapered cantilever beams are examined. Numerical examples with results confirming the convergence and accuracy of the approach are given.
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Palakshi, Gouda M., K. Mallikarjuna, and E. UMA. "Analysis of the Vibration Characteristics of a Cantilever Beam Under Specific Boundary Conditions." International Journal of Computational Engineering and Management (IJCEM), A Peer Reviewed Refereed Multidisciplinary Research Journal 11, no. 1 (2020): 152–59. https://doi.org/10.5281/zenodo.15260724.
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Cantilever beams are fundamental structural elements widely employed in various engineering disciplines. Understanding their vibration characteristics, particularly natural frequencies and mode shapes, is crucial for ensuring structural integrity and preventing resonance. This research article presents a comprehensive analysis of the vibration characteristics of a cantilever beam using analytical, numerical (Finite Element Method), and conceptual experimental approaches. The analytical method employs Euler-Bernoulli beam theory to derive the equations of motion and subsequently determine the natural frequencies and mode shapes. The numerical analysis is performed using FEA software to validate the analytical results and provide a more detailed visualization of the mode shapes. A conceptual experimental setup is also outlined to demonstrate how these characteristics can be empirically determined. The results from the analytical and numerical methods show good agreement for the first few modes of vibration. This study provides valuable insights into the dynamic behavior of cantilever beams, which are essential for their effective design and application in diverse engineering systems.
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Shanmugavalli, M., M. Priyadharshini, Rani A. Sharmila, and R. Swetha. "Static Structural Analysis of Cantilever Beam using Different Tools." International Journal of Multidisciplinary Research Transactions 4, no. 6 (2022): 1–12. https://doi.org/10.5281/zenodo.6623302.
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This article concerns about the static structural analysis of a cantilever beam. The cantilever beam is fixed to one end and the force is applied to the other free end. This action made the beam to vibrate. It is analyzed using different types of software and the displacement and stress values are compared for the beam. ANSYS, COMSOL and Solid Works are the software used to structural analysis of the beam and the respected changes of values are compared.
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Ilchenko, Iryna, and Iryna Gorbunovich. "ANALYSIS OF THE EFFECT OF TRANSVERSE SHEAR DEFORMATION ON THE STIFFNESS OF SHORT BEAMS." Automobile Roads and Road Construction, no. 118.1 (2025): 076–85. https://doi.org/10.33744/0365-8171-2025-117.1-076-085.
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Summary. The article examines the deformations of short elastic beams with different сross-sections under concentrated and uniformly distributed loads. The effect of transverse shear deformations on the stiffness of the beams is investigated. A second-order differential equation is used as a mathematical model of the problem, formed with consideration of pure bending and transverse shear deformations [1]. Boundary conditions are specified for simply supported and cantilever beams. The boundary value problem is solved analytically and using the finite element method (FEM), allowing control over different levels of accuracy. The maximum deflections of beams with different crosssections (rectangular, I-shape, circular, and annular) are determined. Timoshenko beam theory is applied to obtain beam deflections [2]. Modern structural design relies on computer-aided design (CAD) systems, which enable the creation of precise structural models and the analysis of their behavior under realistic conditions. CAD software with integrated finite element tools enables the analysis of the behavior and the identification of specific deformations in both individual components and the entire structures [3]. Three-dimensional finite element modeling of beams was performed using the SCAD and LIRA software [4, 5]. Graphs of mesh convergence for the deflections of the I-shaped cantilever beams were plotted. A comparison of analytical and numerical solutions of the boundary value problem demonstrated a high level of accuracy, indicating the efficiency of the applied approaches. The obtained results have practical significance for structural engineers, particularly in analyzing short beam deformations during the design of beams with different cross-sections. Additionally, these research findings can be incorporated into the educational process for the "Strength of Materials" course. Keywords: simply supported beam, cantilever beam, thin-walled cross-sections, parametric crosssections, stiffness of the beam, transverse shear deformations, finite element software, LIRA software, SCAD software.
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Wang, Qian, Wen-liang Qiu, and Sheng-li Xu. "Structural Optimization of Steel Cantilever Used in Concrete Box Girder Bridge Widening." Mathematical Problems in Engineering 2015 (2015): 1–14. http://dx.doi.org/10.1155/2015/105024.
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The structural optimization method of steel cantilever used in concrete box girder bridge widening is illustrated in this paper. The structural optimization method of steel cantilever incorporates the conceptual layout design of steel cantilever beam based on the topological theory and the determination of the optimal location of the transverse external prestressed tendons which connect the steel cantilever and the box girder. The optimal design theory and the analysis process are illustrated. The mechanical model for the prestressed steel cantilever is built and the analytical expression of the optimal position of the transverse external tendon is deduced. At last the effectiveness of this method is demonstrated by the design of steel cantilevers which are used to widen an existing bridge.
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Gong, Jun Jie, Ying Ying Xu, and Zhi Lin Ruan. "Modeling and Analysis of Piezoelectric Bimorph Cantilever for Vibration Energy Harvesting." Advanced Materials Research 610-613 (December 2012): 2583–88. http://dx.doi.org/10.4028/www.scientific.net/amr.610-613.2583.
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The vibration energy can be converted to electrical energy directly and efficiently using piezoelectric cantilever beam based on piezoelectric effect. Since its structure is simple and its working process is unpoisonous to the environment, the piezoelectric cantilever beam can be used in various fields comprehensively. The present paper perform an analysis on the vibration energy harvesting problem of piezoelectric bimorph cantilever beam. The piezoelectric cantilever model has been formulated using the theory of elasticity mechanics and piezoelectric theory. A prototype of piezoelectric power generator is set up to do vibration test, and the electromechanical coupling FEA model under vibration load is built to simulate its output displacement, stress and voltage. The present numerical results of piezoelectric bimorph cantilever coincide well with our related experimental results, which shows the validity of the present FEA model and the relate results.
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Feng-Quan, Wang, Han Xiao-Ling, and Guo Ying-Zheng. "Analysis of the Characteristics of Pseudo-Resonance and Anti-Resonance." Journal of Vibration and Acoustics 118, no. 4 (1996): 663–67. http://dx.doi.org/10.1115/1.2888349.
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In this paper, the analytical expressions of the dynamic compliances of both undamped and damped cantilever beams are found by the transfer funtion method. From these solutions, the phenomenon of “pseudo-resonance” of beams is discovered and defined. The characteristics of resonance and anti-resonance are investigated in detail. The resonance frequencies, anti-resonance frequencies and pseudo-resonance frequencies of the cantilever steel beam are also measured. The calculated results of these resonance characteristics are compared with the experimental ones.
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KHLIBORODOV, V., I. ZHURBA, and T. KOTSIUBA. "SOME PECULIARITIES OF THE INSTALLATION, DESIGN AND CALCULATION OF HINGE BOLT CONNECTIONS IN THE FLOWS OF STEEL DOUBLE BEAMS IN THE RECONSTRUCTION OF BUILDINGS." Ukrainian Journal of Civil Engineering and Architecture, no. 2 (August 23, 2021): 115–21. http://dx.doi.org/10.30838/j.bpsacea.2312.270421.115.758.
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Formulation of the problem. The object of study is steel beams of technological sites and coatings of buildings under static load. Statically indeterminate beams of the 1st class (according to the classification given in DBN B.2.6-198:2014) are considered, for which as a result of the reconstruction of the building provided in the project, increase in intensity of loading increase of bearing capacity of beams is required. The analysis of the existing ways of increase of bearing capacity of beams without strengthening by a method of increase in cross sections, namely, vertical movement of supports of a beam, the device of artificial hinges in beams of a beam is resulted. These methods allow the adjustment of the forces in the beam so that the bending moments in the run and the support section are the same in absolute value, which is less than the maximum bending moment in the beam before the adjustment of the forces. The problem is the design of the bolted hinged connection of the suspension beam with the cantilever beam without dismantling the beam stored for further operation, or without the installation of temporary supports in the joint area. The purpose of the article. Identify and take into account the features of the location, calculation, design and execution of hinged bolted joints in the beams saved for further operation of the beams without their dismantling. Conclusion. The design of the hinged bolted connection of the suspended beam with the cantilever has been developed. The walls of the suspension and cantilever beams are connected so that on one side of the joint the bolts are located in one vertical row, which provides free rotation of the cross sections of the suspension and cantilever beam with sufficient, determined by calculation, the difference between the diameters of holes and bolts. One vertical row of bolts should be placed in the wall of the suspension beam, for the strength of the bolted connection of the pads. An example of construction and calculation of a hinged cantilever beam formed from an integral two-span beam during the reconstruction of the building is given.
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Zhou, Gongbo, Houlian Wang, Zhencai Zhu, Linghua Huang, and Wei Li. "Performance Analysis of Wind-Induced Piezoelectric Vibration Bimorph Cantilever for Rotating Machinery." Shock and Vibration 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/216353.
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Harvesting the energy contained in the running environment of rotating machinery would be a good way to supplement energy to the wireless sensor. In this paper, we take piezoelectric bimorph cantilever beam with parallel connection mode as energy collector and analyze the factors which can influence the generation performance. First, a modal response theory model is built. Second, the static analysis, modal analysis, and piezoelectric harmonic response analysis of the wind-induced piezoelectric bimorph cantilever beam are given in detail. Finally, an experiment is also conducted. The results show that wind-induced piezoelectric bimorph cantilever beam has low resonant frequency and stable output under the first modal mode and can achieve the maximum output voltage under the resonant condition. The output voltage increases with the increase of the length and width of wind-induced piezoelectric bimorph cantilever beam, but the latter increasing amplitude is relatively smaller. In addition, the output voltage decreases with the increase of the thickness and the ratio of metal substrate to piezoelectric patches thickness. The experiment showed that the voltage amplitude generated by the piezoelectric bimorph cantilever beam can reach the value simulated in ANSYS, which is suitable for actual working conditions.
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Pishculev, Alexander A., and Elizaveta O. Manyahina. "Analysis of structural solutions for buildings with cantilevered floors." Urban construction and architecture 12, no. 3 (2022): 21–27. http://dx.doi.org/10.17673/vestnik.2022.03.03.
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Constructive solutions for buildings with cantilevered floors with a span of more than 20 m are considered. Examples of objects in which similar cantilever floors and their design features are presented. The implementation variant of a cantilever floor with a length of more than 20 m is proposed, where a box-shaped beam is adopted as a core spatial structure. The calculation was performed using the LIRA-CAD calculation complex. The values of moments and cutting forces for consoles with a length from 21 to 39 m are obtained. The main advantages of the proposed constructive solution are highlighted and possible variants of its execution are given.
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Hinnant, Howard E., and Dewey H. Hodges. "Nonlinear analysis of a cantilever beam." AIAA Journal 26, no. 12 (1988): 1521–27. http://dx.doi.org/10.2514/3.10072.
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Kondo, Kyohei. "Analysis of double cantilever beam specimen." Advanced Composite Materials 4, no. 4 (1995): 355–66. http://dx.doi.org/10.1163/156855195x00203.
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Siva Sankara Rao, Yemineni, Kutchibotla Mallikarjuna Rao, and V. V. Subba Rao. "Estimation of damping in riveted short cantilever beams." Journal of Vibration and Control 26, no. 23-24 (2020): 2163–73. http://dx.doi.org/10.1177/1077546320915313.
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In layered and riveted structures, vibration damping happens because of a micro slip that occurs because of a relative motion at the common interfaces of the respective jointed layers. Other parameters that influence the damping mechanism in layered and riveted beams are the amplitude of initial excitation, overall length of the beam, rivet diameter, overall beam thickness, and many layers. In this investigation, using the analytical models such as the Euler–Bernoulli beam theory and Timoshenko beam theory and half-power bandwidth method, the free transverse vibration analysis of layered and riveted short cantilever beams is carried out for observing the damping mechanism by estimating the damping ratio, and the obtained results from the Euler–Bernoulli beam theory and Timoshenko beam theory analytical models are validated by the half-power bandwidth method. Although the Euler–Bernoulli beam model overestimates the damping ratio value by a very less fraction, both the models can be used to evaluate damping for short riveted cantilever beams along with the half-power bandwidth method.
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Messaoud, Bouamra, Fellah Ahmed, Saimi Ahmed, and Bouzidi Imane. "Free vibration analysis of bidirectional functionally graded double-tapered beam using the p-version of the finite element method." South Florida Journal of Development 5, no. 12 (2024): e4824. https://doi.org/10.46932/sfjdv5n12-049.
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In this paper, we conducted a frequency analysis of bidirectional functionally graded double-tapered beam (BDFG beam) using the p-version of the finite element method, the beam was modeled by the Euler Bernoulli beam theory, the global matrices of the equation of motion are determined by applying the Lagrange equation on the kinetic and deformation energies. The material properties are assumed to vary along the thickness and width directions according the power-law distribution. The numerical results are obtained by a developed Matlab code and compared with Ansys Workbench and Solidworks for a pure metallic tapered cantilever beam and with previous study for a unidirectional functionally graded tapered cantilever beam (UDFG beam), case studies were carried out to analyze the influence of tapering angles, the power law indeces, and boundary conditions on the natural frequencies of the beam; these studies demonstrate the advantage of the proposed bidirectional functionally graded tapered beam over the metallic and unidirectional functionally (UDFG) beams.
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Tyagi, Naveen, Anshu Mli Gaur, and Aparna N. Mahajan. "Performance Evaluation of Novel Piezoelectric Cantilever Beam Structure for Energy Harvesting." Trends in Sciences 19, no. 22 (2022): 836. http://dx.doi.org/10.48048/tis.2022.836.
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This study proposes an elastic compact Piezoelectric energy harvester (PEH) in multiple configurations, including a single cantilever beam, a single cantilever beam with a hole, two cantilever beams with a hole contributing towards a wider operating bandwidth. The cantilever beams are designed in multiple structural forms and section shapes, including symmetrical uniform section rectangle frames. Natural frequencies, vibration modes, and output voltages of PEH are estimated using Finite element software, with the frame acting as a rigid body and the cantilever plate acting as a deformed structure. A PEH with a rectangular cantilever plate surrounded by a rigid frame is designed and attached to the vibration platform with a customized fixture in the simulation software. The design meets the requirements of natural frequency and high output voltage in the low-frequency band. The PEH structure is simulated using a variety of piezoelectric materials, primarily PZT4 and PZT5H, barium titanate, lithium niobate, zinc oxide, and polyvinylidene difluoride (PVDF) using the finite element method. In the structural configuration of two cantilever beams with holes, PEH exhibited the maximum output voltage of 32.832 V for Zinc oxide compared to other materials. So, it can be concluded that insertion of hole and variation in the geometry of cantilever structure along with frame plays a vital role in achieving a large voltage from the vibrations in PEH. HIGHLIGHTS The finite element approach was used to develop and simulate the cantilever-based piezoelectric energy harvesting structure Multiple elastic compact Piezoelectric energy harvester (PEH) designs, including a single cantilever plate, a single cantilever plate with a hole, and two cantilever plates with a hole, are simulated using different materials The frame, hole insertion, and geometry modification of the cantilever structure all play important roles in generating a substantial voltage from the vibrations in PEH This study presents an Eigen frequency analysis of different PEH structures GRAPHICAL ABSTRACT