Relevant bibliographies by topics / Cantilever Euler-Bernoulli beam

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Academic literature on the topic 'Cantilever Euler-Bernoulli beam'

Author: Grafiati
Published: 6 September 2023
Last updated: 31 July 2025

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Journal articles on the topic "Cantilever Euler-Bernoulli beam"

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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 r
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Adair, Desmond, and Martin Jaeger. "A power series solution for rotating nonuniform Euler–Bernoulli cantilever beams." Journal of Vibration and Control 24, no. 17 (2017): 3855–64. http://dx.doi.org/10.1177/1077546317714183.

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A systematic procedure is developed for studying the dynamic response of a rotating nonuniform Euler–Bernoulli beam with an elastically restrained root. To find the solution, a novel approach is used in that the fourth-order differential equation describing the vibration problem is first written as a first-order matrix differential equation, which is then solved using the power series method. The method can be used to obtain an approximate solution of vibration problems for nonuniform Euler–Bernoulli beams. Specifically, numerical examples are presented here to demonstrate the usefulness of th
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Ilchenko, Iryna, Nina Marchenko, and Boris Grinevitzkiy. "TRANSVERSE SHEAR DEFORMATIONS FOR DEFLECTIONS OF THIN-WALLED BEAMS." Automobile Roads and Road Construction, no. 114.1 (2023): 045–54. http://dx.doi.org/10.33744/0365-8171-2023-114.1-045-054.

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The Euler-Bernoulli theory (classical theory) is mainly used when beam deflections are determined. Classical theory takes into account only pure bending while transverse shear deformations are neglected. The paper examines statically determined thin-walled beams (I-beam and thin circular ring): simply supported beams and cantilevers. The load is uniformly distributed along the length of the beam and cantilever and a concentrated force applied at the center of the simply supported beam and at the edge of the cantilever. For the specified cases, as well as for round and rectangular beams, formul
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Ključanin, Dino, and Abaz Manđuka. "The cantilever beams analysis by the means of the first-order shear deformation and the Euler-Bernoulli theory." Tehnički glasnik 13, no. 1 (2019): 63–67. http://dx.doi.org/10.31803/tg-20180802210608.

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The effect of the Timoshenko theory and the Euler-Bernoulli theory are investigated in this paper through numerical and analytical analyses. The investigation was required to obtain the optimized position of the pipes support. The Timoshenko beam theory or the first order shear deformation theory was used regarding thick beams where the shearing effect of the beam is considered. The study of the thin beams was performed with the Euler-Bernoulli theory. The analysis was done for stainless steel AISI-440C beams with the rectangular cross-section. The steel beams were a cantilever and stressed un
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Söylemez, Alper Oğulcan, and Bekir Akgöz. "Deflections of Cantilever Beams Subjected to A Point Load At the Free End." International Journal of Engineering and Applied Sciences 16, no. 3 (2024): 141–52. https://doi.org/10.24107/ijeas.1524934.

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In this study, the displacements of cantilever beams for various slenderness ratios under point load are analyzed using Timoshenko and Bernoulli-Euler beam theories. The variation of the slenderness ratio is achieved only by changing the beam length. The results from these theories are compared with those from SolidWorks, which is considered a reliable simulation software. With this comparison, the % difference rates between the simulation and theoretical results are determined. This study explains under which conditions the Timoshenko and Bernoulli-Euler beam theories should be applied and ev
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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 str
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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 accu
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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 app
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Jalali, Mohammad Hadi, and Geoff Rideout. "Analytical and experimental investigation of cable–beam system dynamics." Journal of Vibration and Control 25, no. 19-20 (2019): 2678–91. http://dx.doi.org/10.1177/1077546319867171.

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Interactions between cables and structures affect the design and nondestructive testing of electricity transmission lines, guyed towers, and bridges. An analytical model for an electricity pole beam–cable system is presented, which can be extended to other applications. A cantilever beam is connected to two stranded cables. The cables are modeled as tensioned Euler–Bernoulli beams, considering the sag due to self-weight. The pole is also modeled as a cantilever Euler–Bernoulli beam and the equations of motion are derived using Hamilton’s principle. The model was validated with a reduced-scale
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Zhang, Kai, De Shi Wang, and Qi Zheng Zhou. "Study on the Electromechanical Coupling Performance of Bimorph Piezoelectric Cantilever." Applied Mechanics and Materials 302 (February 2013): 447–51. http://dx.doi.org/10.4028/www.scientific.net/amm.302.447.

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In order to accurately predict the electromechanical coupling performance of bimorph piezoelectric cantilever structure. Based on Euler-Bernoulli beam assumption, the expression of output voltage response of the bimorph piezoelectric cantilever is written, the output voltage curve of unit acceleration excitation are obtained, the law of the output voltage influenced by the structure parameters of the cantilever beam length, width and thickness of the metal beam and the piezoelectric layer are analyzed, the results will play an important theoretical and engineering significance in the developme
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Dissertations / Theses on the topic "Cantilever Euler-Bernoulli beam"

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Kundu, Bidisha. "On the analysis of axially loaded Euler-Bernoulli beam using Galerkin, Fourier transform, and Lie symmetry approach." Thesis, 2019. https://etd.iisc.ac.in/handle/2005/5244.

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The beam with axial load is one of the fundamental models in the field of physics and engineering. The applications of this model span from a guitar string to the rotating blade of a helicopter. It has an important role in vibration theory and structural mechanics. Also, it establishes a relationship between the mathematical continuum concept and continuum mechanics as it is the most basic example of a continuum physical model. For the long and slender beams, the Euler-Bernoulli beam theory is used. In this thesis, Euler-Bernoulli beam with axial load is studied. For the wide application
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Sarkar, Korak. "Inverse Problems in Free Vibration Analysis of Rotating and Non-Rotating Beams and its Application to Random Eigenvalue Characterization." Thesis, 2016. http://etd.iisc.ac.in/handle/2005/3139.

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Rotating and non-rotating beams are widely used to model important engineering struc-tures. Hence, the vibration analyses of these beams are an important problem from a structural dynamics point of view. Depending on the beam dimensions, they are mod-eled using different beam theories. In most cases, the governing differential equations of these types of beams do not yield any simple closed-form solutions; hence we look for the inverse problem approach in determining the beam property variations given certain solutions. The long and slender beams are generally modeled using the Euler-Bernoulli
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Sarkar, Korak. "Inverse Problems in Free Vibration Analysis of Rotating and Non-Rotating Beams and its Application to Random Eigenvalue Characterization." Thesis, 2016. http://hdl.handle.net/2005/3139.

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Rotating and non-rotating beams are widely used to model important engineering struc-tures. Hence, the vibration analyses of these beams are an important problem from a structural dynamics point of view. Depending on the beam dimensions, they are mod-eled using different beam theories. In most cases, the governing differential equations of these types of beams do not yield any simple closed-form solutions; hence we look for the inverse problem approach in determining the beam property variations given certain solutions. The long and slender beams are generally modeled using the Euler-Bernoulli
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Conference papers on the topic "Cantilever Euler-Bernoulli beam"

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Mondal, Saikat, and Partha Roy Chaudhuri. "Determining Elastic Modulus of Fiber Material by Cantilever Vibration Method." In JSAP-Optica Joint Symposia. Optica Publishing Group, 2024. https://doi.org/10.1364/jsapo.2024.19a_p08_3.

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This research demonstrates the determination of the elastic modulus of the material of optical fiber by experimentally calculating natural vibration frequency utilizing Euler-Bernoulli cantilever beam vibration theory[1].
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Kahrobaiyan, M. H., M. Zanaty, and S. Henein. "An Analytical Model for Beam Flexure Modules Based on the Timoshenko Beam Theory." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67512.

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Short beams are the key building blocks in many compliant mechanisms. Hence, deriving a simple yet accurate model of their elastokinematics is an important issue. Since the Euler-Bernoulli beam theory fails to accurately model these beams, we use the Timoshenko beam theory to derive our new analytical framework in order to model the elastokinematics of short beams under axial loads. We provide exact closed-form solutions for the governing equations of a cantilever beam under axial load modeled by the Timoshenko beam theory. We apply the Taylor series expansions to our exact solutions in order
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Tondo, Gledson Rodrigo, Sebastian Rau, Igor Kavrakov, and Guido Morgenthal. "Physics-informed Gaussian process model for Euler-Bernoulli beam elements." In IABSE Symposium, Prague 2022: Challenges for Existing and Oncoming Structures. International Association for Bridge and Structural Engineering (IABSE), 2022. http://dx.doi.org/10.2749/prague.2022.0445.

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<p>A physics-informed machine learning model, in the form of a multi-output Gaussian process, is formulated using the Euler-Bernoulli beam equation. Given appropriate datasets, the model can be used to regress the analytical value of the structure’s bending stiffness, interpolate responses, and make probabilistic inferences on latent physical quantities. The developed model is applied on a numerically simulated cantilever beam, where the regressed bending stiffness is evaluated and the influence measurement noise on the prediction quality is investigated. Further, the regressed probabili
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Aldraihem, Osama J., Robert C. Wetherhold, and Tarunraj Singh. "A Comparison of the Timoshenko Theory and the Euler-Bernoulli Theory for Control of Laminated Beams." In ASME 1996 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/imece1996-0655.

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Abstract In this paper, the governing equations and boundary conditions of laminated beam smart structures are presented. Sensor and actuator layers are included in the beam so as to facilitate vibration supression. Two mathematical models are presented: the shear-deformable (Timoshenko) model and the shear-indeformable (Euler-Bernoulli) model. The differential equations for a continuous beam are approximated by utilizing finite element techniques for both models. A cantilever laminated beam with and without a tip mass is investigated to assess the validity and the accuracy of the two models w
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Sharghi, Hesam, and Onur Bilgen. "A Multi-Point Loaded Piezocomposite Beam: Modeling of Vibration Energy Harvesting." In ASME 2018 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/smasis2018-7947.

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Energy harvesting from ambient vibrations and mechanical deformations using piezoelectric materials has received significant attention over the last decade. These types of energy harvesters find applications in structural health monitoring, wireless sensor networks, etc. In this paper, vibration energy harvesting from piezocomposite beams with unconventional boundary conditions is investigated. The so-called inertial four-point boundary condition is useful in applications where the cantilevered beam setup leads to non-uniform stress-strain distribution along the beam domain. In this paper, the
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Minas, Sophie, Michael Paidoussis, and Farhang Daneshmand. "Experimental and Analytical Investigation of Hanging Tubular Cantilevers With Discharging Axial and Radial Flow." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-70466.

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The fluid-elastic instability of hanging cantilevered pipes subject to internal and external flows is studied. Flow-induced vibrations cause these flexible tubular cantilevers to experience dynamic divergence (flutter) as well as static divergence (buckling) at high enough flow velocities. Specifically, the system studied consists of a flexible tubular hanging cantilever, which hangs concentrically within an outer rigid tube. Fluid flows internally from the clamped end of the cantilever to the free end and flows in the opposite direction in the annular region between the cantilever and the out
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Sado, Danuta. "Dynamics of a Cantilever Beam With Attached Pendulum." In ASME 2001 Engineering Technology Conference on Energy. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/etce2001-17157.

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Abstract This work draws attention to the to the analysis of dynamics of a nonlinear coupled cantilever beam-pendulum oscillator. Dynamical systems of this type have important technical applications, because many mechanical components consist of linear or weakly nonlinear continuos substructures such as beam coupled to nonlinear oscillators. The present paper is a continuation of the author’s previous work where in applying the Galerkin method the modal series was truncated at the first mode. In this work it is assumed that the cantilever beam behaves like an Euler-Bernoulli beam and to its en
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Zhu, Bin, Christopher D. Rahn, and Charles E. Bakis. "Tunable Vibration Absorption of a Cantilever Beam Utilizing Fluidic Flexible Matrix Composites." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12580.

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Bonding a fluidic flexible matrix composite (F2MC) tube to a cantilever beam can create a lightly damped tuned vibration absorber. The beam transverse vibration couples with the F2MC tube strain to generate flow into an external accumulator via a flow port. The fluid inertia is analogous to the vibration absorbing mass in a conventional tuned vibration absorber. The large F2MC tube pressure accelerates the fluid so that the developed inertia forces cancel most of the vibration loads. An analytical model is developed based on Euler-Bernoulli beam theory and Lekhnitskii’s solution for anisotropi
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Dey, Somnath, and V. Kartik. "Intermittent Contact Dynamics of a Micro-Cantilever in High Speed Contact Mode Scanning Probe Microscopy." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-52367.

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The intermittent contact dynamics of a scanning probe microscopy (SPM) micro-cantilever are investigated in the context of high speed imaging in contact mode. At high scan speeds the cantilever can completely detach from the sample surface, and this lowers the achievable image resolution and limits the imaging speed. An analysis is performed, modeling the micro-cantilever as an Euler-Bernoulli beam and approximating the effect of the tip’s contact with the surface by an attached spring with an end mass that is subjected to attractive/repulsive interaction force. At low scan speeds, the cantile
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Pasic, H., K. Alam, and D. Garg. "Dynamics of a Cantilever Electrode Beam on a Vibrating Base." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10281.

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Vibration of a simple uniform Bernoulli-Euler cantilever beam attached to a rigid base vibrating in a direction perpendicular to the beam is studied both analytically and experimentally. The objective is to study electrode deflection in electrostatic precipitators, with emphasis on the interaction of the vibrating electrode with the ambient fluid. The analytical solution can be used to find reliable estimates of the maximum vibration amplitude of the electrodes, which is a primary cause of detrimental sparking of the electrodes. An experimental system was built to validate the analytical resul
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