Relevant bibliographies by topics / Large Deflection of a Cantilever Beam

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
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Academic literature on the topic 'Large Deflection of a Cantilever Beam'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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Journal articles on the topic "Large Deflection of a Cantilever Beam"

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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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Tolou, N., and J. L. Herder. "A Seminalytical Approach to Large Deflections in Compliant Beams under Point Load." Mathematical Problems in Engineering 2009 (2009): 1–13. http://dx.doi.org/10.1155/2009/910896.

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The deflection of compliant mechanism (CM) which involves geometrical nonlinearity due to large deflection of members continues to be an interesting problem in mechanical systems. This paper deals with an analytical investigation of large deflections in compliant mechanisms. The main objective is to propose a convenient method of solution for the large deflection problem in CMs in order to overcome the difficulty and inaccuracy of conventional methods, as well as for the purpose of mathematical modeling and optimization. For simplicity, an element is considered which is a cantilever beam out of linear elastic material under vertical end point load. This can further be used as a building block in more complex compliant mechanisms. First, the governing equation has been obtained for the cantilever beam; subsequently, the Adomian decomposition method (ADM) has been utilized to obtain a semianalytical solution. The vertical and horizontal displacements of a cantilever beam can conveniently be obtained in an explicit analytical form. In addition, variations of the parameters that affect the characteristics of the deflection have been examined. The results reveal that the proposed procedure is very accurate, efficient, and convenient for cantilever beams, and can probably be applied to a large class of practical problems for the purpose of analysis and optimization.
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Elvin, Niell G., and Alex A. Elvin. "Large deflection effects in flexible energy harvesters." Journal of Intelligent Material Systems and Structures 23, no. 13 (February 20, 2012): 1475–84. http://dx.doi.org/10.1177/1045389x11435434.

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The effect of large deflection on the mechanical and electrical behaviors of flexible piezoelectric energy harvesters has not been well studied. A generalized nonlinear coupled finite element circuit simulation approach is presented in this article to study the performance of energy harvesters subjected to large deflections. The method presented is validated experimentally using three test examples consisting of (a) a static case, (b) a free vibration case, and (c) a forced vibration case. Under static conditions (when the transverse tip deflection exceeds a quarter of the cantilever length), large deflections cause geometric stiffening of the structure that reduces the tip deflection of the generator when compared to linear (i.e. small-deflection) behavior. For a cantilever generator under dynamic conditions, geometric stiffening, inertial softening, and nonlinear damping effects become significant. Large deflections both shift the resonant frequency and increase damping and can thus cause a significant reduction in output voltage when compared with small-deflection linear theory. In the finite element generator model studied in this article, these nonlinear dynamic effects become significant when the transverse tip deflection exceeds 35% of the beam length.
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Song, Jiang Yong. "An Elliptic Integral Solution to the Multiple Inflections Large Deflection Beams in Compliant Mechanisms." Advanced Materials Research 971-973 (June 2014): 349–52. http://dx.doi.org/10.4028/www.scientific.net/amr.971-973.349.

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In this paper, a solution based on the elliptic integrals is proposed for solving multiples inflection points large deflection. Application of the Bernoulli Euler equations of compliant mechanisms with large deflection equation of beam is obtained ,there is no inflection point and inflection points in two cases respectively. The elliptic integral solution which is the most accurate method at present for analyzing large deflections of cantilever beams in compliant mechanisms.
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Sherbourne, A. N., and F. Lu. "DEFLECTION OF A FLEXURAL CANTILEVER BEAM." Transactions of the Canadian Society for Mechanical Engineering 17, no. 1 (March 1993): 29–43. http://dx.doi.org/10.1139/tcsme-1993-0003.

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The behaviour of a flexural elasto-plastic cantilever beam is investigated in which geometric nonlinearities are considered. The result of an elastica analysis by Frisch-Fay [1] is extended to include post-yield behaviour. Although a closed-form solution is not possible, as in the elastic case, simple algebraic equations are derived involving only one unknown variable, which can also be expressed in the standard form of elliptic integrals if so desired. The results, in comparison with those of the small deflection analyses, indicate that large deflection analyses are necessary when the relative depth of the beam is very small over the length. The present exact solution can be used as a reference by those who resort to a finite element method for more complicated problems. It can also serve as a building block to other beam problems such as a simply supported beam or a beam with multiple loads.
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Seveno, Raynald, Benoit Guiffard, and Jean-Pierre Regoin. "Ultra large deflection of thin PZT/aluminium cantilever beam." Functional Materials Letters 08, no. 05 (September 29, 2015): 1550051. http://dx.doi.org/10.1142/s1793604715500514.

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Flexible piezoelectric cantilever beam has been realized by depositing lead zirconate titanate (PZT) thin film (4.5 μm) by chemical solution deposition (CSD) onto very thin aluminium foil (16 μm). The tip deflection of the beam has been measured as a function of the frequency of the applied sinusoidal voltage to the PZT film for different amplitudes. Resonance curves have been compared to a classical model of an oscillating system under sinusoidal stress with a very good agreement. Despite of weak ferroelectric properties (remnant polarization: 13 μC/cm2), ultra-large deflection amplitudes have been measured under very moderate applied voltage values: 750 μm@10 V for quasi-static mode and 5 mm@10 V at the resonance frequency (~12 Hz), which makes this PZT/aluminium composite film very promising for highly flexible actuation applications where large displacements are wanted.
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Singhal, D., and V. Narayanamurthy. "Large and Small Deflection Analysis of a Cantilever Beam." Journal of The Institution of Engineers (India): Series A 100, no. 1 (November 13, 2018): 83–96. http://dx.doi.org/10.1007/s40030-018-0342-3.

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Tuan Ya, T. M. Y. S., Reza Alebrahim, Nadziim Fitri, and Mahdi Alebrahim. "Analysis of Cantilever Beam Deflection under Uniformly Distributed Load using Artificial Neural Networks." MATEC Web of Conferences 255 (2019): 06004. http://dx.doi.org/10.1051/matecconf/201925506004.

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In this study the deflection of a cantilever beam was simulated under the action of uniformly distributed load. The large deflection of the cantilever beam causes the non-linear behavior of beam. The prupose of this study is to predict the deflection of a cantilever beam using Artificial Neural Networks (ANN). The simulation of the deflection was carried out in MATLAB by using 2-D Finite Element Method (FEM) to collect the training data for the ANN. The predicted data was then verified again through a non linear 2-D geometry problem solver, FEM. Loads in different magnitudes were applied and the non-linear behaviour of the beam was then recorded. It was observed that, there is a close agreement between the predicted data from ANN and the results simulated in the FEM.
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Fallahpasand, Sam, and Morteza Dardel. "Piezoelectric energy harvesting from highly flexible cantilever beam." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 233, no. 1 (July 30, 2018): 71–92. http://dx.doi.org/10.1177/1464419318791104.

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In many studies, linear or small deflections according to Von Karman strain model are used for energy harvesting of beam’s structures. Analyses of these types are not reliable when deformations become large. In this work, an integro-differential equation of highly flexible cantilever beam with a piezoelectric layer is presented. The harvester is composed of a thin flexible beam with attached piezoceramic which undergoes large deformations. Periodic and chaotic oscillations and their effects on the quality of harvesting energy procedure are investigated. The obtained results showed that chaotic oscillations improve energy harvesting. This means that large deflections in high-flexible electromechanical systems let harvester to gather more energy from the external source in a much wider frequency domain. Fast Fourier transform shows the emerging lots of resonance peaks in the chaotic region, which give cascade of resonances for this highly nonlinear beam. Moreover, it is discussed how this mechanism and its frequency characteristics enhances the quality and quantity of energy harvesting. The present study show how increasing the flexibility of structure can lead to high deflection and obtaining broadband energy harvesting with better energy harvesting characteristics.
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Borboni, Alberto, Diego De Santis, Luigi Solazzi, Jorge Hugo Villafañe, and Rodolfo Faglia. "Ludwick Cantilever Beam in Large Deflection Under Vertical Constant Load." Open Mechanical Engineering Journal 10, no. 1 (March 28, 2016): 23–37. http://dx.doi.org/10.2174/1874129001610010023.

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Dissertations / Theses on the topic "Large Deflection of a Cantilever Beam"

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Visner, John C. "Analytical and Experimental Analysis of the Large Deflection of a Cantilever Beam Subjected to a Constant, Concentrated Force, with a Constant Angle, Applied at the Free End." University of Akron / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=akron1196090494.

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Giardina, Ronald J. Jr. "On The Ramberg-Osgood Stress-Strain Model And Large Deformations of Cantilever Beams." ScholarWorks@UNO, 2017. http://scholarworks.uno.edu/td/2377.

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In this thesis the Ramberg-Osgood nonlinear model for describing the behavior of many different materials is investigated. A brief overview of the model as it is currently used in the literature is undertaken and several misunderstandings and possible pitfalls in its application is pointed out, especially as it pertains to more recent approaches to finding solutions involving the model. There is an investigation of the displacement of a cantilever beam under a combined loading consisting of a distributed load across the entire length of the beam and a point load at its end and new solutions to this problem are provided with a mixture of numerical techniques, which suggest strong mathematical consistency within the model for all theoretical assumptions made. A physical experiment was undertaken and the results prove to be inaccurate when using parameters derived from tensile tests, but when back calculating parameters from the beam test the model has a 14.40% error at its extreme against the experimental data suggesting the necessity for further testing.
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Ramirez, Issa Ailenid. "Pseudo-Rigid-Body Models for Approximating Spatial Compliant Mechanisms of Rectangular Cross Section." Scholar Commons, 2014. https://scholarcommons.usf.edu/etd/5562.

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The objective of the dissertation is to develop and describe kinematic models (Pseudo-Rigid-Body Models) for approximating large-deflection of spatial (3D) cantilever beams that undergo multiple bending motions thru end-moment loading. Those models enable efficient design of compliant mechanisms, because they simply and accurately represent the bending and stiffness of compliant beams. To accomplish this goal, the approach can be divided into three stages: development of the governing equations of a flexible cantilever beam, development of a PRBM for axisymmetric cantilever beams and the development of spatial PRBMs for rectangular cross-section beam with multiple end moments. The governing equations of a cantilever beam that undergoes large deflection due to force and moment loading, contains the curvature, location and rotation of the beam. The results where validated with Ansys, which showed to have a Pearson's correlation factor higher than 0.91. The resulting deflections, curvatures and angles were used to develop a spatial pseudo-rigid-body model for the cantilever beam. The spatial pseudo-rigid-body model consists of two links connected thru a spherical joint. For an axisymmetric beam, the PRB parameters are comparable with existing planar PRBMs. For the rectangular PRBM, the parameters depend on the aspect ratio of the beam (the ratio of the beam width over the height of the cross-section). Tables with the parameters as a function of the aspect ratio are included in this work.
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Chimento, Jairo Renato. "A 3-D Pseudo-Rigid-Body Model for Rectangular Cantilever Beams with an Arbitrary Force End-Load." Scholar Commons, 2014. https://scholarcommons.usf.edu/etd/4993.

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This dissertation introduces a novel three-dimensional pseudo-rigid-body model (3-D PRBM) for straight cantilever beams with rectangular cross sections. The model is capable of capturing the behavior of the neutral axis of a beam loaded with an arbitrary force end-load. Numerical integration of a system of differential equations yields approximate displacement and orientation of the beam's neutral axis at the free end, and curvatures of the neutral axis at the fixed end. This data was used to develop the 3-D PRBM which consists of two torsional springs connecting two rigid links for a total of 2 degrees of freedom (DOF). The 3-D PRBM parameters that are comparable with existing 2-D model parameters are characteristic radius factor (mean: γ = 0.8322), bending stiffness coefficient (mean: KΘ = 2.5167) and parametric angle coefficient (mean: cΘ = 1.2501). New parameters are introduced in the model in order to capture the spatial behavior of the deflected beam, including two parametric angle coefficients (means: cΨ = 1.0714; cΦ = 1.0087). The model is verified in a few locations using ANSYSTM and its use in the design of compliant mechanisms is illustrated through spatial compliant versions of crank slider and double slider mechanisms.
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Abraham, Jeevan George. "A deflection, buckling and stress investigation into telescopic cantilever beams." Thesis, Brunel University, 2012. http://bura.brunel.ac.uk/handle/2438/7380.

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The telescoping cantilever beam structure is applied in many different engineering sectors to achieve weight/space optimisation for structural integrity. There has been limited theory and analysis in the public domain of the stresses and deflections involved when applying a load to such a structure. This thesis proposes (a) The Tip Reaction Model, which adapts classical mechanics to predict deflection of a two and a three section steel telescoping cantilever beam; (b) An equation to determine the Critical buckling loads for a given configuration of the two section steel telescoping cantilever beam assembly derived from first principles, in particular the energy methods; and finally (c) the derivation of a design optimization methodology, to tackle localised buckling induced by shear, torsion and a combination of both, in the individual, constituent, hollow rectangular beam sections of the telescopic assembly. Bending stress and shear stress is numerically calculated for the same structure whilst subjected to inline and offset loading. An FEA model of the structure is solved to verify the previous deflection, stress and buckling predictions made numerically. Finally an experimental setup is conducted where deflections and stresses are measured whilst a two section assembly is subjected to various loading and boundary conditions. The results between the predicted theory, FEA and experimental setup are compared and discussed. The overall conclusion is that there is good correlation between the three sets of data.
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Cornil, Marie-Blanche. "Free vibration of a beam subjected to a large static deflection." Thesis, Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/17364.

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Logan, Philip James. "A Planar Pseudo-Rigid-Body Model for Cantilevers Experiencing Combined Endpoint Forces and Uniformly Distributed Loads Acting in Parallel." Scholar Commons, 2015. http://scholarcommons.usf.edu/etd/5730.

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This dissertation describes the development and effectiveness of a mathematical model used to predict the behavior of cantilever beams whose loading conditions include parallel combinations of evenly distributed loads and endpoint forces. The large deflection of cantilever beams has been widely studied. A number of models and mathematical techniques have been utilized in predicting the endpoint path coordinates and load-deflection relationships of such beams. The Pseudo-Rigid-Body Model (PRBM) is one such method which replaces the elastic beam with rigid links of a parameterized pivot location and torsional spring stiffness. In this paper, the PRBM method is extended to include cases of a constant distributed load combined with a parallel endpoint force. The phase space of the governing differential equations is used to store information relevant to the characterization of the PRBM parameters. Correction factors are also given to decrease the error in the load-deflection relationship and extend the angular range of the model, thereby further aiding compliant mechanism design. The calculations suggest a simple way of representing the effective torque caused by a distributed load in a PRBM as a function of easily calculated model parameters.
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Özdemir, Aytekin, Zeki Hayran, Yuzuru Takashima, and Hamza Kurt. "Polarization independent high transmission large numerical aperture laser beam focusing and deflection by dielectric Huygens’ metasurfaces." ELSEVIER SCIENCE BV, 2017. http://hdl.handle.net/10150/625955.

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In this letter, we propose all-dielectric Huygens' metasurface structures to construct high numerical aperture flat lenses and beam deflecting devices. The designed metasurface consists of two-dimensional array of all dielectric nanodisk resonators with spatially varying radii, thereby introducing judiciously designed phase shift to the propagating light. Owing to the overlap of Mie-type magnetic and electric resonances, high transmission was achieved with rigorous design analysis. The designed flat lenses have numerical aperture value of 0.85 and transmission values around 80%. It also offers easy fabrication and compatibility with available semiconductor technology. This spectrally and physically scalable, versatile design could implement efficient wavefront manipulation or beam shaping for high power laser beams, as well as various optical microscopy applications without requiring plasmonic structures that are susceptible to ohmic loss of metals and sensitive to the polarization of light.
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Chase, Robert Parley. "Large 3-D Deflection and Force Analysis of Lateral Torsional Buckled Beams." BYU ScholarsArchive, 2006. https://scholarsarchive.byu.edu/etd/1040.

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This thesis presents research on the force and deflection behavior of beams with rectangular cross-sections undergoing lateral torsional buckling. The large 3-D deflection path of buckling beam tips was closely approximated by circular arcs in two planes. A new chain algorithm element was created from pseudo-rigid-body segments and used in a chain calculation that accurately predicted the force deflection relationship of beams with large 3-D deflections.
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Uzhan, Tevfik. "Experimental Analysis Of Curved Laminated Beam." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612114/index.pdf.

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ABSTRACT EXPERIMENTAL ANALYSIS OF CURVED LAMINATED GLASS BEAM Uzhan, Tevfik M.S., Department of Engineering Sciences Supervisor: Prof. Dr. M. Zü
lfü
ASik May 2010, 33 Pages In this thesis, experimental studies are carried out on curved laminated glass beams to form a database for the scientists who may like to test their mathematical models. Beams which are only free to rotate and constrained in radial direction at both ends are tested to make the data available for further calculations. Test setup is prepared to minimize error that could occur due to test setup and data readings. Material testing machine and 4 channel data collecting machine are used to measure the signals at the strain gauges located over the glass beam. Within the range of force applied to the specimens, laminated curved beam shows linear behavior without any fracture. Data collected from the specimens are in conformance with each other. Results obtained from experiments are compared with the results obtained from the mathematical model developed by ASik and Dural (2006). As it is observed from the graphs presented, experimental results from the tests and numerical results from the mathematical model are in good agreement.
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Books on the topic "Large Deflection of a Cantilever Beam"

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Craig, L. D. A case study of analysis methods for large deflections of a cantilever beam. [Marshall Space Flight Center, Ala.]: National Aeronautics and Space Administration, George C. Marshall Space Flight Center, 1994.

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Blum, M. G. A general method for damping quantification of aerospace materials with a cantilever beam example. Downsview, Ont: University of Toronto, Institute for Aerospace Studies, 1989.

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Center, Langley Research, ed. Large deflections of a cantilever beam under arbitrarily directed tip load. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1985.

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Book chapters on the topic "Large Deflection of a Cantilever Beam"

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Geßner, Felix, Matthias Weigold, and Eberhard Abele. "Investigation on Tool Deflection During Tapping." In Lecture Notes in Mechanical Engineering, 104–14. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77256-7_10.

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AbstractTapping is a challenging process at the end of the value chain. Hence, tool failure is associated with rejected components or expensive rework. For modelling the tapping process we choose a mechanistic approach. In the present work, we focus on the tool model, which describes the deflection and inclination of the tool as a result of the radial forces during tapping. Since radial forces always occur during tapping due to the uneven load distribution on the individual teeth, the tool model represents an essential part of the entire closed-loop model. Especially in the entry phase of the tap, when the guidance within the already cut thread is not yet given, radial forces can lead to deflection of the tool. Therefore, the effects of geometric uncertainty in the thread geometry are experimentally investigated, using optical surface measurement to evaluate the position of the thread relative to the pre-drilled bore. Based on the findings, the tool deflection during tapping is mapped using a cylindrical cantilever beam model, which is calibrated using experimental data. The model is then validated and the implementation within an existing model framework is described.
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Lyu, Guohui, Chunming Bi, Yan Zhang, Chaozheng Wang, Mingyang Wang, and Xu Jiang. "Large-range Bridge Beam-gap Displacement Sensors Based on Cantilever Beam with Fiber Bragg Grating." In Lecture Notes in Electrical Engineering, 3–11. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-8595-7_1.

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Chaudhuri, Partha Roy, and Somarpita Pradhan. "All-Optical Fiber-Cantilever Beam-Deflection Magnetometer: Detection of Low Magnetic Field and Magnetization Measurement." In Springer Proceedings in Physics, 127–39. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-3908-9_15.

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Yao, Jie, and Christopher K. Y. Leung. "Bridging Stress of Inclined Fiber in Cementitious Composites Based on Large Deflection Beam Theory." In Strain-Hardening Cement-Based Composites, 37–45. Dordrecht: Springer Netherlands, 2017. http://dx.doi.org/10.1007/978-94-024-1194-2_4.

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Joshi, Kishan H., and Chetankumar M. Patel. "Development of Analytical Method to Determine the Deflection of Tapered Cantilever Beam with Inclined Loading Condition Using Software Simulation." In Advances in Intelligent Systems and Computing, 281–88. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-0135-2_27.

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Gao, Q. F., Q. L. Ma, K. Zhang, and C. G. Liu. "Discussion on the excessive deflection in mid-spans of large-span prestressed concrete continuous beam bridges." In Bridge Maintenance, Safety, Management, Life-Cycle Sustainability and Innovations, 3618–24. CRC Press, 2021. http://dx.doi.org/10.1201/9780429279119-490.

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R. Knick, Cory. "Optimization of MEMS Actuator Driven by Shape Memory Alloy Thin Film Phase Change." In Advanced Functional Materials. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.92393.

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At the microscale, shape memory alloy (SMA) microelectromechanical system (MEMS) bimorph actuators offer great potential based on their inherently high work density. An optimization problem relating to the deflection and curvature based on shape memory MEMS bimorph was identified, formulated, and solved. Thicknesses of the SU-8 photoresist and nickel-titanium alloy (NiTi) was identified that yielded maximum deflections and curvature radius based on a relationship among individual layer thicknesses, elastic modulus, and cantilever length. This model should serve as a guideline for optimal NiTi and SU-8 thicknesses to drive large deflections and curvature radius that are most suitable for microrobotic actuation, micromirrors, micropumps, and microgrippers. This model would also be extensible to other phase-change-driven actuators where nonlinear and significant residual stress changes are used to drive actuation.
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Zheng, Chen, and Yang Jia–Ling. "THE LARGE DEFLECTION AND PLASTIC RESPONSE OF SIMPLY SUPPORTED BEAM WITH A STABLE CRACK UNDER IMPACT LOAD." In Advances in Engineering Plasticity and its Applications, 831–36. Elsevier, 1993. http://dx.doi.org/10.1016/b978-0-444-89991-0.50111-6.

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Brand, Christian, Sandra Eibenberger, Ugur Sezer, and Markus Arndt. "Matter-wave physics with nanoparticles and biomolecules." In Current Trends in Atomic Physics, 367–401. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198837190.003.0010.

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The chapter discusses advances in matter-wave optics with complex molecules, generalizing Young’s double slit to high masses. The quantum wave-particle duality is visualized by monitoring the arrival patterns of molecules diffracted at nanomechanical masks. Each molecule displays particle behavior when it is localized on the detector; however, the overall interference pattern requires their delocalization in free flight. Internal particle properties influence the de Broglie waves in the presence of surfaces or fields—even in interaction with atomically thin gratings. To probe the quantum nature of high-mass molecules, universal beam splitters are combined in a multi-grating interferometer to observe high-contrast matter-wave fringes even for 500 K hot molecules, containing 810 atoms with a mass of 10 000 amu. The high sensitivity of the nanoscale interference fringes to deflection in external fields enables non-invasive measurements of molecular properties. The chapter concludes by discussing research on beam techniques that extend molecular quantum optics to large biomolecules.
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Conference papers on the topic "Large Deflection of a Cantilever Beam"

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Borboni, Alberto, Diego De Santis, and Rodolfo Faglia. "Large Deflection of a Non-Linear, Elastic, Asymmetric Ludwick Cantilever Beam." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24257.

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The investigated cantilever beam is characterized by a constant rectangular cross-section and is subjected to a concentrated vertical constant load at the free end. The same beam is made by an elastic non-linear asymmetric Ludwick type material with different behavior in tension and compression. Namely the constitutive law of the proposed material is characterized by two different elastic moduli and two different strain exponential coefficients. The aim of this study is to describe the deformation of the beam neutral surface and particularly the horizontal and vertical displacements of the free end cross-section. The analysis of large deflection is based on the Euler-Bernoulli bending beam theory, for which cross-sections, after the deformation, remain plain and perpendicular to the neutral surface; furthermore their shape and area do not change. On the stress viewpoint, the shear stress effect and the axial force effect are considered negligible in comparison with the bending effect. The mechanical model deduced from the identified hypotheses includes two kind of non-linearity: the first due to the material and the latter due to large deformations. The mathematical problem associated with the mechanical model, i.e. to compute the bending deformations, consists in solving a non-linear algebraic system and a non-liner second order ordinary differential equation. Thus a numerical algorithm is developed and some examples of specific results are shown in this paper. Precisely, the proposed problem is a generalization of similar cases in literature, consequently numerical comparisons are performed with these previous works, i.e. assuming linear elastic materials or assuming symmetric Ludwick type material with same behavior in tension and compression like aluminum alloy and annealed copper. After verifying a proper agreeing with the literature, in order to investigate the effect of the different material behavior on the horizontal and vertical displacements of the free end cross-section, numerical results are obtained for different values of elastic moduli and strain exponential coefficients. The arising conclusions are coherent with the assumed hypotheses and with similar works in literature.
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CUI, Shitang, Liming HU, and Jun YAN. "Large Deflection of Ideal Pseudo-Elastic Shape Memory Alloy Cantilever Beam." In The 2015 International Conference on Mechanical Engineering and Control Systems (MECS2015). WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789814740616_0010.

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Changizi, M. Amin, Ali Abolfathi, and Ion Stiharu. "MEMS Wind Speed Sensor: Large Deflection of Curved Micro-Cantilever Beam Under Uniform Horizontal Force." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-50560.

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Micro-cantilever beams are currently employed as sensor in various fields. Of main applications, is using such beams in wind speed sensors. For this purpose, curved out of plane micro-cantilever beams are used. Uniform pressure on such beams causes a large deflection of beam. General mechanics of material theory deals with small deflection and thus cannot be used for explaining this deflection. Although there are a body of works on analysing of large deflection [1], nonlinear deflection, of curved beams [2], yet there is no research on large deflection of curved beam under horizontal uniform distributed force. Theoretically, the wind force is applying horizontally on curved micro-cantilever beam. Here, we neglect the effect of moving weather from beam sides. We first aim how to drive the governed equation. A curved beam does not have a calculable centroid. Also large deflection of beam changes its curvature which would change the centroid of beam consciously. The variation of centroid makes very though calculating the bending moment of each cross section in the beam. To address this issue, an integral equation will be used. The total force will be considered as a single force applied at the centroid. The second challenge is solving the governed nonlinear ordinary differential equation (ODE). Although there are several methods to solve analytically nonlinear ODE, Lie symmetry method, with all its complication, is a general method for this kind of equations. This approach covers all current methods in analytical solving nonlinear ODEs. In this method, an infinitesimal transformation should be calculated. All transformations under one parameter creates a group that called Lie group. A value of parameter which transfers the equation onto itself is called invariant of ODE. One can calculate canonical coordinates ODEs by the invariant. Solving the canonical coordinates ODEs yields to calculating the canonical coordinates. Canonical coordinate are used to reduce the order of nonlinear ODE [3]. By repeating this method one can solve high order ODEs. Our last question is how to do numerical solution of ODE. The possible answer will help to explain the phenomena of deflection clearly and compare the analytical solution with numerical results. Small dimensions of beam, small values of applied force from one side and Young modules value from the other side, will create a stiff ODE. Authors experience in this area shows that the best method to sole these kind of equations is LSODE. This method can be used in Maple. Here, primary calculations show that the governed equation is second order nonlinear ODE and we propose two possible invariants to solve ODE. Overall, the primary numerical solution has shown perfect match with the exact solution.
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Ramirez, Issa A., and Craig P. Lusk. "Spatial-Beam Large-Deflection Equations and Pseudo-Rigid-Body Model for Axisymmetric Cantilever Beams." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47389.

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The kinematic equations for approximating the deflection of a three-dimensional cantilever beam were developed. The numerical equations were validated with a Finite Element Analysis program. With these equations, a pseudo-rigid-body model (PRBM) for an axisymmetric straight beam was developed. The axisymmetric PRBM consists of a spherical joint connecting two rigid links. The location of the deformed end of the beam is determined by two angles and the characteristic radius factor. The angle of the beam with respect to the vertical axis depends on the direction of the force with respect to the undeformed coordinate system. The Pearson’s correlation coefficient for the Finite Element Analysis model and the numerical integration is 0.952.
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Lu, F., X. J. Wang, and Y. F. Liu. "Experimental Research on Deflection Control of Cantilever Beam Based on Hybrid Photovoltaic/Piezoelectric Actuation Mechanism." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65629.

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When ultraviolet light illuminates on polarized PLZT ceramic, a large voltage can be generated between the electrodes due to the anomalous photovoltaic effect. The shape control of flexible shell can be realized by using hybrid photovoltaic/piezoelectric actuation. In this paper, a novel non-contact deflection closed-loop control model of cantilever beam based on hybrid photovoltaic/piezoelectric actuation can be proposed. The photovoltage of PLZT ceramic irradiated by ultraviolet light is applied to drive PVDF actuator. The closed-loop control equations of deflection of cantilever beam is derived based on the mathematical model of PLZT ceramic with coupled multi-physics fields and the constitutive model of cantilever beam. Then, parameters of deflection control equations of cantilever beam during illumination phase and light off phase are identified through the deflection static experiment. After that, the deflection closed-loop control experiment of cantilever beam based on hybrid photovoltaic/piezoelectric actuation mechanism is carried out to verify the control model. The experimental results show that the deflection of cantilever beam with a simple on-off control method can achieve the target value by applying UV light to PLZT ceramic. It also should be noted that, the deflection curve of cantilever beam illuminated by strong UV light has an undesirable fluctuation.
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Rasmussen, Nathan O., Jonathan W. Wittwer, Robert H. Todd, Larry L. Howell, and Spencer P. Magleby. "A 3D Pseudo-Rigid-Body Model for Large Spatial Deflections of Rectangular Cantilever Beams." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99465.

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The design of compliant mechanisms has been aided by the development of pseudo-rigid-body models to predict the motion of flexible members undergoing large displacements. Many of these models are based on the fact that the end of a cantilever beam follows a near-circular path when planar loads are applied. This paper shows that the application of 3-dimensional end-loading causes a beam to follow a near-spherical path, even for beams with non-circular cross-sections. A 3D pseudo-rigid-body model is presented that allows the motion of an end-loaded rectangular beam to be predicted using a rigid link and a spherical joint. Two sets of deflection limits for 0.5% error are presented and shown to be dependent upon the aspect ratio of the cross-section of the beam. The model has the potential for aiding in the design of spatial compliant mechanisms and analysis of planar compliant mechanisms undergoing large out-of-plane motions.
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7

Howell, Larry L., and Ashok Midha. "Parametric Deflection Approximations for End-Loaded, Large-Deflection Beams in Compliant Mechanisms." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0291.

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Abstract Geometric nonlinearities often complicate the analysis of systems containing large-deflection members. The time and resources required to develop closed-form or numerical solutions nave inspired the development of a simple method of approximating the deflection path of end-loaded, large-deflection cantilever beams. The path coordinates are parameterized in a single parameter, called the pseudo-rigid-body angle. The approximations are accurate to within 0.5% of the closed-form elliptic integral solutions. A physical model is associated with the method, and may be used to simplify complex problems. The method proves to be particularly useful in the analysis and design of compliant mechanisms.
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Morsch, Femke M., Nima Tolou, and Just L. Herder. "Comparison of Methods for Large Deflection Analysis of a Cantilever Beam Under Free End Point Load Cases." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86754.

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The objective of this paper is to present a comparative analysis for large deflections of a cantilever beam under free end point load. pseudo rigid body model (PRBM), non-linear beam theory numerically solved with integration (NLBT-NUM), linear beam theory (LBT), finite element modeling (FEM) using an available commercially FEM package, non-linear beam theory solved with direct nonlinear solution (NLBT-DNS) and experimental evaluation (EXP), have been implemented. For the purpose of comparison, the relation between the displacements, rotating angle of the tip and applied force were calculated and shown graphically. The accuracy of the path of the tip as a function of the force is compared with the NLBT-NUM, which is taken as a reference. In addition, computation times and implementation convenience were recorded. In the case of a perpendicular load, the PRBM is accurate and has little computation time. The NLBT-NUM, NLBT-DNS and FEM analysis are accurate, but the computation time is longer. The NLBT-DNS has been introduced for the first time and provides semi-exact closed form solutions for both horizontal and vertical position. In case of a non-perpendicular load, the NLBT-NUM and FEM analysis are the only accurate methods while computation time is less for the numerical solution. In conclusion, the PRBM and the FEM are recommended for the cases of perpendicular load and non-perpendicular load respectively. Finally, it can be concluded that the more accurate methods take more computation time, and that the accuracy is affected by load cases.
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Zhang, Aimei, and Guimin Chen. "A Comprehensive Elliptic Integral Solution to the Large Deflection Problems of Cantilever Beams in Compliant Mechanisms." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70239.

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The elliptic integral solution is often considered as the most accurate method for analyzing large deflections of cantilever beams in compliant mechanisms. In this paper, by explicitly including the number of inflection points (m) and the sign of the end-moment load (SM) in the derivation, a comprehensive solution based on the elliptic integrals is proposed for solving the large deflection problems. The comprehensive solution is capable of solving large deflections of cantilever beams subject to any kind of load cases and of any kind of deflected modes. A few deflected configurations of complex modes solved by the comprehensive solution are presented and discussed. The use of the comprehensive solution in analyzing compliant mechanisms is also demonstrated by a few case studies.
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Rahman, Mosfequr, Hunter Taylor, Abdur Rahman, and Gustavo Molina. "Finite Element Numerical Analysis of Deflection Behavior in Photostrictive Actuators on Overhanging and Propped Cantilever Beam Models." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-72471.

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Photostriction is best defined as the generation of strain in a material via light irradiation. In essence the photostrictive effect is a result of the combination of the photovoltaic and converse-piezoelectric effects. When light comes into contact with the surface of a photostrictive material, the photovoltaic effect causes the generation of a large amount of voltage. The converse-piezoelectric effect in turn converts the produced voltage into mechanical motion, which induces strain in the material. Photostrictive ceramics are considered excellent materials for use in advanced actuation technologies. This is due to their ability to be activated through irradiation of light, which provides advantages over conventional actuators, which include remote control capability, freedom from physical actuation, and reduced electromagnetic (EM) interference. Conversely conventional actuators require hard wired connections to transmit control signals that can produce EM interference, creating signal noise. Photostrictive ceramics have also found use in the manufacturing of micro electromechanical systems, also known as MEMS technology, mostly due to their wireless capabilities. Photostrictive materials are ferroelectric ceramics that exhibit the photostrictive effect. PLZT, (Pb, La)(Zr, Ti) O3 ceramics doped with WO3, exhibit large photostriction deflection under uniform illumination of light, and have potential uses in numerous micro-electro-mechanical systems as a result of this property. The objective of this research is to numerically investigate the effect of light intensity on transverse deflection of an overhanging beam model, and to assess the effect actuator size has on deflection for a propped cantilever beam model using finite element analysis technique. The current research results is then compared with the validated results of other studies on PLZT using other model types. From this numerical investigation it has been observed that for an overhanging beam model, the transverse deflection of PLZT actuators has a direct relationship to the intensity of the light applied in order to induce photostriction. It has also been observed that this relationship applies over a large range of light intensity upwards of 4000 mW/cm2, boosting maximum deflection into the micron range (1E−6 – 1E−7 m). With regard to the propped cantilever beam model, it has been observed that incomplete PLZT coverage of the cantilever beam portion of the model caused upwards transverse deflection. However, as the amount of PLZT actuator was increased, the deflection behavior exponentially approached negative values. By comparing these results with similar studies on alternate model types, it was confirmed that for beams deposited with PLZT actuator, light intensity and actuator size and surface coverage will affect the transverse deflection of the beam in the same manner regardless of the beam model.
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