Relevant bibliographies by topics / Large beam deflection

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Large beam deflection'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Large beam deflection"

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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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Zhou, Peng, Ying Liu, and Xiaoyan Liang. "Analytical Solutions for Large Deflections of Functionally Graded Beams Based on Layer-Graded Beam Model." International Journal of Applied Mechanics 10, no. 09 (November 2018): 1850098. http://dx.doi.org/10.1142/s1758825118500989.

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The objective of this paper is to investigate the large deflection of a slender functionally graded beam under the transverse loading. Firstly, by modeling the functionally graded beam as a layered structure with graded yield strength, a unified yield criterion for a functionally graded metallic beam is established. Based on the proposed yielding criteria, analytical solutions (AS) for the large deflections of fully clamped functionally graded beams subjected to transverse loading are formulated. Comparisons between the present solutions with numerical results are made and good agreements are found. The effects of gradient profile and gradient intensity factor on the large deflections of functionally graded beams are discussed in detail. The reliability of the present analytical model is demonstrated, and the larger the gradient variation ratio near the loading surface is, the more accurate the layer-graded beam model will be.
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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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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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Allam, Ahmed, Ayman Nassif, and Ali Nadjai. "Behaviour of restrained steel beam at elevated temperature – parametric studies." Journal of Structural Fire Engineering 10, no. 3 (September 9, 2019): 324–39. http://dx.doi.org/10.1108/jsfe-11-2018-0036.

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Purpose This paper aims to investigate computationally and analytically how different levels of restraint from surrounding structure, via catenary action in beams, affect the survival of steel framed structures in fire. This study focuses on examining the mid-span deflection and the tensile axial force of a non-composite heated steel beam at large deflection that is induced by the catenary action during exposure to fires. The study also considers the effect of the axial horizontal restraints, load-ratio, beam temperature gradient and the span/depth ratio. It was found that these factors influence the heated steel beam within steel construction and its catenary action at large deflection. The study suggests that this may help the beam to hang to the surrounding cold structure and delay the run-away deflection when the tensile axial force of the beam has been overcome. Design/methodology/approach This paper is part one of the parametric study and discusses both the effect of the axial horizontal restraints and load-ratio on the heated steel-beam. Reliance on the prescriptive standard fire solutions may lead to an unpredicted behaviour of the structure members if the impact of potential real fires is not considered. Findings Variation of the horizontal end-restraint level has a major effect on the behaviour of the beam at high deflection, and the loading on a beam at large displacement can be carried effectively by catenary behaviour. An increase of axial horizontal stiffness helps the catenary action to prevent run-away at lower deflections. The studies also investigated the influence of varying the load ratio on the behaviour of the heated beam at large deflection and how it affects the efficacy of the catenary action. The study suggests that care should be taken when selecting the load ratio to be used in the design. Originality/value In a recent work, the large deflection behaviours of axially restrained corrugated web steel beam (CWSB) at elevated temperatures were investigated using a finite element method (Wang et al., 2014). Parameters that greatly affected behaviours of CWSB at elevated temperatures were the load ratio, the axial restraint stiffness ratio and the span–depth ratio. Other works included numerical studies on large deflection behaviours of restrained castellated steel beams in a fire where the impact of the catenary action is considered (Wang, 2002). The impact of the induced axial forces in the steel beam during cooling stage of a fire when the beam temperature decreases, if thermal shortening of the beam is restrained, large tensile forces may be induced in the beam (Wang, 2005; Allam et al., 2002). A performance-based approach is developed for assessing the fire resistance of restrained beams. The approach is based on equilibrium and compatibility principles, takes into consideration the influence of many factors, including fire scenario, end restraints, thermal gradient, load level and failure criteria, in evaluating fire resistance (Dwaikat and Kodur, 2011; Allam et al., 1998).
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Ghuku, Sushanta, and Kashi Nath Saha. "A Review on Stress and Deformation Analysis of Curved Beams under Large Deflection." International Journal of Engineering and Technologies 11 (July 2017): 13–39. http://dx.doi.org/10.18052/www.scipress.com/ijet.11.13.

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The paper presents a review on large deflection behavior of curved beams, as manifested through the responses under static loading. The term large deflection behavior refers to the inherent nonlinearity present in the analysis of such beam system response. The analysis leads to the field of geometric nonlinearity, in which equation of equilibrium is generally written in deformed configuration. Hence the domain of large deflection analysis treats beam of any initial configuration as curved beam. The term curved designates the geometry of center line of beam, distinguishing it from the usual straight or circular arc configuration. Different methods adopted by researchers, to analyze large deflection behavior of beam bending, have been taken into consideration. The methods have been categorized based on their application in various formats of problems. The nonlinear response of a beam under static loading is also a function of different parameters of the particular problem. These include boundary condition, loading pattern, initial geometry of the beam, etc. In addition, another class of nonlinearity is commonly encountered in structural analysis, which is associated with nonlinear stress-strain relations and known as material nonlinearity. However the present paper mainly focuses on geometric nonlinear analysis of beam, and analysis associated with nonlinear material behavior is covered briefly as it belongs to another class of study. Research works on bifurcation instability and vibration responses of curved beams under large deflection is also excluded from the scope of the present review paper.
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Saxena, A., and S. N. Kramer. "A Simple and Accurate Method for Determining Large Deflections in Compliant Mechanisms Subjected to End Forces and Moments." Journal of Mechanical Design 120, no. 3 (September 1, 1998): 392–400. http://dx.doi.org/10.1115/1.2829164.

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Compliant members in flexible link mechanisms undergo large deflections when subjected to external loads. Because of this fact, traditional methods of deflection analysis do not apply. Since the nonlinearities introduced by these large deflections make the system comprising such members difficult to solve, parametric deflection approximations are deemed helpful in the analysis and synthesis of compliant mechanisms. This is accomplished by representing the compliant mechanism as a pseudo-rigid-body model. A wealth of analysis and synthesis techniques available for rigid-body mechanisms thus become amenable to the design of compliant mechanisms. In this paper, a pseudo-rigid-body model is developed and solved for the tip deflection of flexible beams for combined end loads. A numerical integration technique using quadrature formulae has been employed to solve the large deflection Bernoulli-Euler beam equation for the tip deflection. Implementation of this scheme is simpler than the elliptic integral formulation and provides very accurate results. An example for the synthesis of a compliant mechanism using the proposed model is also presented.
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QIN, QINGHUA, MINGSHI WANG, ZHENGJIN WANG, JIANXUN ZHANG, and T. J. WANG. "A YIELD CRITERION AND PLASTIC ANALYSIS FOR PHYSICALLY ASYMMETRIC SANDWICH BEAM WITH METAL FOAM CORE." International Journal of Applied Mechanics 05, no. 04 (December 2013): 1350037. http://dx.doi.org/10.1142/s1758825113500373.

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A yield criterion for physically asymmetric sandwich cross-sections is proposed in this paper. Using the yield criterion, analytical solutions for the large deflections of fully clamped asymmetric slender sandwich beams transversely loaded by a flat punch at the midspan are derived considering the core strength effect and interaction of bending and axial stretching. Finite element (FE) method is employed to predict the large deflection behavior of the sandwich beams. Good agreement is achieved between the analytical predictions and FE results. Effects of asymmetric factor, core strength and loading punch size are also discussed. It is demonstrated that core strength and loading punch size have significant influences on the load-carrying and energy absorption capacities of physically asymmetric metal sandwich beams while the asymmetry effect could be neglected when the deflection exceeds sandwich beam depth.
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Torkamani, Morteza A. M., and Mustafa Sonmez. "Inelastic Large Deflection Modeling of Beam-Columns." Journal of Structural Engineering 127, no. 8 (August 2001): 876–87. http://dx.doi.org/10.1061/(asce)0733-9445(2001)127:8(876).

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Verly, Pierre G. "Low-loss liquid-crystal-clad waveguide switch with a large angular separation of the optical beams." Canadian Journal of Physics 65, no. 5 (May 1, 1987): 476–83. http://dx.doi.org/10.1139/p87-064.

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We propose a new nematic liquid-crystal-clad electrooptic waveguide beamsplitter simultaneously capable of very high beam deflections and relatively low losses. A trade-off between the deflection and the cross talk due to unswitched spatial frequencies of a realistic diverging beam is discussed with respect to waveguide materials and geometries.
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Dissertations / Theses on the topic "Large beam deflection"

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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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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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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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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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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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Magnani, Marco. "Modellazione solida e beam per strutture lattice." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2018.

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Presentazione di un metodo semplificativo per l’analisi di un campione lattice a celle ottaedriche, partendo dalla ricerca di un modo per accorciare i tempi di simulazione necessari a condurre analisi FEM su strutture cellulari. Viene effettuata una modellazione beam delle micro travi e le strutture vengono sottoposte a simulazioni già condotte con campioni aventi la stessa geometria, ma una modellazione solida. I risultati delle due analisi vengono confrontati e, quando possibile, paragonati a risultati sperimentali. Si conclude che la modellazione proposta permette di accorciare i tempi di simulazione e di modellazione CAD, oltre a rendere possibile condurre analisi ai grandi spostamenti ottenendo risultati molto più simili a quelli ricavati in laboratorio, grazie alla riduzione della potenza di calcolo richiesta.
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León, Alejandro. "A pseudo-rigid-body model for spherical mechanisms: The kinematics and elasticity of a curved compliant beam." Scholar Commons, 2007. http://scholarcommons.usf.edu/etd/2259.

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This thesis improves a previous kinematic analysis and develops the elastic portion of the analysis of a curved compliant beam. This analysis is used to develop a Pseudo-Rigid-Body Model for the curved compliant beam. The Pseudo-Rigid-Body Model consist of kinematic and elastic parameters which can be used to simplify the computation of the large deflections of the beam as it undergoes spherical motion. The kinematic parameters that are developed are the characteristic radius, Gamma*length, the parametric angle coefficient, c_theta, and the kinematic parametrization limit, Capital_theta_max(Gamma). The elastic parameters developed are the stiffness coefficient, K_theta, and the elastic parameterization limit, Capital_theta_max(K). Additionally, curve fit parameters are developed which enable the calculation of the stress in curved beam as it deflects.
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Dural, Ebru. "Analysis Of Laminated Glass Arches And Cylindrical Shells." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12612907/index.pdf.

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In this study, a laminated glass unit which consists of two glass sheets bonded together by PVB is analyzed as a curved beam and as a cylindrical shell. Laminated glass curved beams and shells are used in architecture, aerospace, automobile and aircraft industries. Curved beam and shell structures differ from straight structures because of their initial curvature. Because of mathematical complexity most of the studies are about linear behavior rather than nonlinear behavior of curved beam and shell units. Therefore it is necessary to develop a mathematical model considering large deflection theory to analyze the behavior of curved beams and shells. Mechanical behavior of laminated glass structures are complicated because they can easily perform large displacement since they are very thin and the materials with the elastic modulus have order difference. To be more precise modulus of elasticity of glass is about 7*104 times greater than the modulus of elasticity of PVB interlayer. Because of the nonlinearity, analysis of the laminated glass has to be performed by considering large deflection effects. The mathematical model is developed for curved beams and shells by applying both the variational and the minimum potential energy principles to obtain nonlinear governing differential equations. The iterative technique is employed to obtain the deflections. Computer programs are developed to analyze the behavior of cylindrical shell and curved beam. For the verification of the results obtained from the developed model, the results from finite element models and experiments are used. Results used for verification of the model and the explanation of the bahavior of the laminated glass curved beams and shells are presented in figures.
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Boyle, Cameron. "A Closed-Form Dynamic Model of the Compliant Constant-Force Mechanism Using the Pseudo-Rigid-Body Model." BYU ScholarsArchive, 2003. https://scholarsarchive.byu.edu/etd/53.

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A mathematical dynamic model is derived for the compliant constant-force mechanism, based on the pseudo-rigid-body model simplification of the device. The compliant constant-force mechanism is a slider mechanism incorporating large-deflection beams, which outputs near-constant-force across the range of its designed deflection. The equation of motion is successfully validated with empirical data from five separate mechanisms, comprising two configurations of compliant constant-force mechanism. The dynamic model is cast in generalized form to represent all possible configurations of compliant constant-force mechanism. Deriving the dynamic equation from the pseudo-rigid-body model is useful because every configuration is represented by the same model, so a separate treatment is not required for each configuration. An unexpected dynamic trait of the constant-force mechanism is discovered: there exists a range of frequencies for which the output force of the mechanism accords nearer to constant-force than does the output force at static levels.
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Sensmeier, Mark D. (Mark David). "Static and dynamic large deflection flexural response of graphite- epoxy beams." Thesis, Virginia Tech, 1987. http://hdl.handle.net/10919/45895.

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In support of crashworthiness studies of composite airframes, the present study was undertaken to understand the large deflection flexural response and failure of graphite-epoxy laminated beams. The beam specimens were subjected to eccentric axial impact loads and to static eccentric axial loads, in order to assess the damage caused by impact.

A geometrically and materially nonlinear analysis of the response and failure of the static test specimens is presented. The analysis employed an incremental, noniterative finite element model based on the Kantrovich method and a corotational solution technique. Width-wise effects are included by assuming specific forms of the displacements across the width, with length-wise variation introduced as a degree of freedom. This one-dimensional, 22 degree of freedom finite element accurately predicted the load-deflection and strain-deflection responses of the static test specimens.

Inclusion of nonlinear material behavior was found to be important in correctly predicting load-deflection response of uniaxial materials, while inclusion of width-wise effects was determined to be more important for laminates with off-axis plies due to the existence of coupling between bending and twisting curvatures (D16and D26). Once material nonlinearity begins to occur in flexure, even symmetric laminates exhibit bending-stretching coupling due to different material response in tension and compression.


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Books on the topic "Large beam deflection"

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Sensmeier, Mark D. Static and dynamic large deflection flexural response of graphite-epoxy beams. Washington, D.C: National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988.

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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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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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Hayden, Griffin O., Johnson Eric R, and United States. National Aeronautics and Space Administration., eds. Static and dynamic large deflection flexural response of graphite-epoxy beams. Blacksburg, Va: Virginia Tech Center for Composite Materials and Structures, Virginia Polytechnic Institute and State University, 1987.

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Hayden, Griffin O., Johnson Eric R, and United States. National Aeronautics and Space Administration, eds. Static and dynamic large deflection flexural response of graphite-epoxy beams. Blacksburg, Va: Virginia Tech Center for Composite Materials and Structures, Virginia Polytechnic Institute and State University, 1987.

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Hayden, Griffin O., Johnson Eric R, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Division., eds. Static and dynamic large deflection flexural response of graphite-epoxy beams. [Washington, DC]: National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988.

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Book chapters on the topic "Large beam deflection"

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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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Adam, Christoph, and Thomas Furtmüller. "Moderately Large Deflections of Composite Beams with Interlayer Slip." In Advanced Structured Materials, 1–17. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-21251-3_1.

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Yu, Yi-Yuan. "Nonlinear Modeling for Large Deflections of Beams, Plates, and Shallow Shells." In Vibrations of Elastic Plates, 151–68. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4612-2338-2_7.

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Kim, Y. H., and S. W. Lee. "A Large Deflection Finite Element Model of Beams with Arbitrary Cross-Sectional Warping." In Computational Mechanics ’88, 827–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-61381-4_210.

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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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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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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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"Large Deflections of Plates." In Stresses in Beams, Plates, and Shells, 381–98. CRC Press, 2009. http://dx.doi.org/10.1201/b17516-16.

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Cederbaum, Gabriel, LePing Li, and Kalman Schulgasser. "Large deflection analysis of poroelastic beams." In Poroelastic Structures, 67–87. Elsevier, 2000. http://dx.doi.org/10.1016/b978-008043668-5/50022-5.

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Kalaga, S., C. R. Vallenilla, and A. Cervantes. "Planar Beam-Columns Subject to Large Deflections." In Computational Mechanics–New Frontiers for the New Millennium, 207–12. Elsevier, 2001. http://dx.doi.org/10.1016/b978-0-08-043981-5.50034-1.

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Conference papers on the topic "Large beam deflection"

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Farhang, K. "Approximate Closed-Form Equations for Elastic Beam Experiencing Large Deflection." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-69018.

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The problem associated with beams subject to large elastic deflection finds application in micro switches and other MEMS. Perhaps the most challenging task in finding approximate closed form equations is the choice of the function form. While systematic least squares fit of polynomial or power functions are means of finding such approximations, usually the error in the approximations rises with increase in the range of deflection. An interactive/optimization based scheme is employed in this paper to derive the closed form approximate equations for elastic beams experiencing large angular and transverse deflections as a result of application of relatively large loads. It is shown that the approximate equations provide prediction of beam tip angular deflection in the range 0–82 degrees, with error less than 0.2 degrees. The approximate equations are employed to define a pseudo-rigid body link of a compliant MEMS.
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Chen, Guimin, and Ruiyu Bai. "Modeling Large Spatial Deflections of Slender Bisymmetric Beams in Compliant Mechanisms Using Chained Spatial-Beam-Constraint-Model (CSBCM)." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46387.

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Modeling large spatial deflections of flexible beams has been one of the most challenging problems in the research community of compliant mechanisms. This work presents a method called chained spatial-beam-constraint-model (CSBCM) for modeling large spatial deflections of flexible bisymmetric beams in compliant mechanisms. CSBCM is based on the spatial beam constraint model (SBCM), which was developed for the purpose of accurately predicting the nonlinear constraint characteristics of bisymmetric spatial beams in their intermediate deflection range. CSBCM deals with large spatial deflections by dividing a spatial beam into several elements, modeling each element with SBCM, and then assembling the deflected elements using the transformation defined by Tait-Bryan angles to form the whole deflection. It is demonstrated that CSBCM is capable of solving various large spatial deflection problems whether the tip loads are known or the tip deflections are known. The examples show that CSBCM can accurately predict the large spatial deflections of flexible beams, as compared to the available nonlinear FEA results obtained by ANSYS. The results also demonstrated the unique capabilities of CSBCM to solve large spatial deflection problems that are outside the range of ANSYS.
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Wang, Wei-Chih, and Chi-Leung Tsui. "Large beam deflection using cascaded prism array." In SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, edited by Tribikram Kundu. SPIE, 2012. http://dx.doi.org/10.1117/12.915292.

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Howell, Larry L., and Ashok Midha. "Parametric Deflection Approximations for Initially Curved, Large-Deflection Beams in Compliant Mechanisms." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/mech-1215.

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Abstract The analysis of systems containing highly flexible members is made difficult by the nonlineararities caused by large deflections of the flexible members. The analysis and design of many such systems may be simplified by using pseudo-rigid-body approximations in modeling the flexible members. The pseudo-rigid-body model represents flexible members as rigid links, joined at pin joints with torsional springs. Appropriate values for link lengths and torsional spring stiffnesses are determined such that the deflection path and force-deflection relationships are modeled accurately. Pseudo-rigid-body approximations have been developed for initially straight beams with externally applied forces at the beam end. This work develops approximations for another fundamental type of flexible member, the initially curved beam with applied force at the beam end. This type of flexible member is commonly used in compliant mechanisms. An example of the use of the resulting pseudo-rigid-body approximations in compliant mechanisms is included.
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Chase, Robert P., Robert H. Todd, Larry L. Howell, and Spencer P. Magleby. "A Large Deflection Analysis Method for Lateral Torsional Buckling." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34531.

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Research is presented on describing the deflection behavior of prismatic beams with high aspect ratio rectangular cross-sections undergoing lateral torsional buckling. The 3-D large deflection path of buckling beam tips was closely approximated by circular arcs in two planes. When deflection paths of beams with different geometric and material properties were nondimensionalized with respect to the beam length, these deflection paths were the same with very little variation. Similarly, the change in the beam tip orientation as the beams deflected also remained the same as geometry and material properties were varied.
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Holst, Gregory L., Gregory H. Teichert, and Brian D. Jensen. "An Exploration of Buckling Modes and Deflection of a Fixed-Guided Beam." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-29076.

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This paper explored the deflection and buckling of fixed-guided beams. It uses an analytical model for predicting the reaction forces, moments, and buckling modes of a fixed-guided beam undergoing large deflections. One of the strengths of the model is its ability to accurately predict buckling behavior and the buckled beam shape. The model for the bending behavior of the beam is found using elliptic integrals. A model for the axial deflection of the buckling beam is also developed based on the equations for stress and strain and the buckling profile of the beam calculated with the elliptic integral solution. These two models are combined to predict the performance of a beam undergoing large deflections including higher order buckling modes. The force vs. displacement predictions of the model are compared to the experimental force vs. deflection data of a bistable mechanism and a thermomechanical in-plane microactuator (TIM). The combined models show good agreement with the force vs. deflection data for each device. The paper’s main contributions include the addition of the axial buckling model to existing beam bending models, the exploration of the deflection domain of a fixed-guided beam, and the demonstration that nonlinear finite element models may incorrectly predict a beam’s buckling mode unless unrealistic constraints are placed on the beam.
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Holland, David, Ilinca Stanciulescu, Lawrence Virgin, and Raymond Plaut. "Vibration and Large Deflection of a Beam-Cable System." In 46th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2005. http://dx.doi.org/10.2514/6.2005-1970.

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Chen, Guimin, Fulei Ma, Guangbo Hao, and Weidong Zhu. "Modeling Large Deflections of Initially Curved Beams in Compliant Mechanisms Using Chained Beam-Constraint-Model." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85515.

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Understanding and analyzing large and nonlinear deflections is one of the major challenges of designing compliant mechanisms. Initially curved beams can offer potential advantages to designers of compliant mechanisms and provide useful alternatives to initially straight beams. However, the literature on analysis and design using such beams is rather limited. This paper presents a general and accurate method for modeling large planar deflections of initially curved beams of uniform cross-sections, which can be easily adapted to curved beams of various shapes. This method discretizes a curved beam into a few elements and models each element as a circular-arc beam using the beam constraint model (BCM). Two different discretization schemes are provided for the method, among which the equal discretization is suitable for circular-arc beams and the unequal discretization is for curved beams of other shapes. Compliant mechanisms utilizing initially curved beams of circular-arc, cosine and parabola shapes are modeled to demonstrate the effectiveness of CBCM for initially curved beams of various shapes. The method is also accurate enough to capture the relevant nonlinear load-deflection characteristics.
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Panza, Michael J. "Mathematical Model for Large Deflection Dynamics of a Compliant Beam Mechanism." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/mech-14146.

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Abstract A mathematical model for the large deflection dynamics of a compliant beam mechanism is presented. The mechanism simulates the motion of a slider-crank device. The system contains a highly flexible beam that provides the compliant motion from a sliding mass at one end to a rotating hinge point at the other end. Basic models for friction and beam dissipation effects are included. Principles of mechanics are used to derive a nonlinear integro-partial differential equation for the complete beam/mass system in the curved space of the deformed beam. The resulting equation is cast into a generalized nondimensional form suitable for studying system behavior for a broad range of system sizes. The dynamic equation is solved in curved space by applying a spatial solution that closely represents the large deflection measured static deflection of the beam. The nonlinear system dynamics are simulated for an initial large deflection of the mechanism and compared to experimental results for an actual physical system.
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Saxena, A., and Steven N. Kramer. "A Simple and Accurate Method for Determining Large Deflections in Complaint Mechanisms Subjected to End Forces and Moments." In ASME 1998 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/detc98/mech-5883.

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Abstract Compliant members in flexible link mechanisms undergo large deflections when subjected to external loads for which, traditional methods of deflection analysis do not apply Nonlinearities introduced by these large deflections make the system comprising such members difficult to solve Parametric deflection approximations are then deemed helpful in the analysis and synthesis of compliant mechanisms This is accomplished by seeking the pseudo-rigid-body model representation of the compliant mechanism A wealth of analysis and synthesis techniques available for rigid-body mechanisms thus become amenable to the design of compliant mechanisms In this paper, a pseudo-rigid-body model is developed and solved for the tip deflection of flexible beams for combined end loads with positive end moments A numerical integration technique using quadrature formulae has been employed to solve the nonlinear Bernoulli-Euler beam equation for the tip deflection Implementation of this scheme is relatively simpler than the elliptic integral formulation and provides nearly accurate results Results of the numerical integration scheme are compared with the beam finite element analysis An example for the synthesis of a compliant mechanism using the proposed model is also presented.
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