Dissertations / Theses: 'Large beam deflection'

1

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

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.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Chase, Robert Parley. "Large 3-D Deflection and Force Analysis of Lateral Torsional Buckled Beams." BYU ScholarsArchive, 2006. https://scholarsarchive.byu.edu/etd/1040.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

4

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

5

Uzhan, Tevfik. "Experimental Analysis Of Curved Laminated Beam." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612114/index.pdf.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

6

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

Find full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

7

LeÃ³n, 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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

8

Dural, Ebru. "Analysis Of Laminated Glass Arches And Cylindrical Shells." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12612907/index.pdf.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

9

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

10

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.

Full text

Abstract:

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.

Master of Science

APA, Harvard, Vancouver, ISO, and other styles

11

Chase, Robert P. "Large 3-D deflection and force analysis of lateral torsional buckled beams /." Diss., CLICK HERE for online access, 2006. http://contentdm.lib.byu.edu/ETD/image/etd1644.pdf.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

13

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

14

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

15

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

16

Lu, Hsueh-Chang, and 呂學昌. "Large Deflection of Beam on Elastic Foundation." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/97163928827244453699.

Full text

Abstract:

碩士
國立中央大學
機械工程學系
84
THe problems of deflection of beam subjected to axial force are stuidied . Closed form shape functions for beam subjected to axial force are obtained by solving the governing differential equation, then obtained stiffness matrices.Extend these concepts to large deflection of beam on elastic foundation ,then obtained stiffness matrices of three different cases . Stiffness matrices are unstable in numerical results , as axial force values approach to zero. Hence power series expansion of stiffness matrices is necessary . The paper consid-ered axial effects of beam on elastic foundation,too.And obtained their closed form shape functions .Finally,the nonlinear problems are sloved by the combi-nation use of the most simple incremental approach and coordinate transformat-ion . Numerical results demonstrate that .(a).it can obtain accurate numerical results at less use of elements.(b).the pipes under the earth subjected force , deflection of pipes are decreased if elastic modulus in bending effects and that in axial effects are increased .(c).the pipes under the earth subjected different initial displacements ,deflection of pipes are increased if elastic modulus in bending effects are increased,And they are decreased if elastic m-odulus in axial effects.

APA, Harvard, Vancouver, ISO, and other styles

17

CHEN, JIAN-WEN, and 陳建文. "Large deflection analysis of planar curved beam." Thesis, 1991. http://ndltd.ncl.edu.tw/handle/03945766158008976183.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Ou, Wen-Yan, and 歐文雁. "Strain Model in Adhesive Layer of the Composite Beams and Large Deflection Analysis of the Long-Beam." Thesis, 1997. http://ndltd.ncl.edu.tw/handle/08843097122648172923.

Full text

Abstract:

碩士
國立中央大學
機械工程學系
85
Generally,we take care of mechanics of composite materials problem,we assume that perfectly bonded between materials.But external force makes deform of materals would be caused shear stress and normal stress in adhesive layer.It ismain subject in this thesis.Use geometry relationship of the adhesive layer when it is deform to define shear stress and normal stress.To get govern equation of each beam,and to build close form shap function.Use finite element method analysis to forecast deflection of each beam.Hope that it can offer many data to designer. About long-beam analysis,the thesis build coordinate along deform curve to get govern equation.Also use finite element method ,increment method,alternate method,element rotation matrix to analysis.Make nonlinear problem to be linear problem.

APA, Harvard, Vancouver, ISO, and other styles

19

Chia-HsiangTseng and 曾嘉祥. "Apply Laplace Adomian Decomposition Method to Vibration and Large Deflection Analysis of Nonlinear Beam." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/nxfbss.

Full text

Abstract:

碩士
國立成功大學
機械工程學系
107
In this study, the Laplace Adomian decomposition method (LADM) was used to analyze free vibration of a nonlinear beam and large deflection of a cantilever beam. The relationship between structure parameters and natural frequencies or deflection was also figured out. In the first section, the characteristic/eigenvalue equation and mode shape functions of a general beam were analytically derived by LADM. After that, effects of different physical parameters including geometry formula, translational or rotational spring constant, magnitude of axial tensile force, and the eccentricity of the tip mass on natural frequencies were investigated. In the second part, the governing equation of the large deflection was carried out with Euler–Bernoulli moment–curvature relationship. Next, the deflection under non-following end force and end moment was probed with LADM through this part. The results of this study indicated that natural frequencies of the beam would increase with higher translational or rotational spring constant and magnitude of axial tensile force. On the other hand, the first natural frequency would decrease, and the other frequencies would increase when the eccentricity of the tip mass was larger. As for the structure geometry, the more complex it was, the closer the natural frequencies would they be. For large deflection cases, the results revealed that the influence of end moment was more obvious than the influence of end force. Further, end moment would cause obvious deflection near the tip. The end force, by contrast, would cause the deflection through the whole beam.

APA, Harvard, Vancouver, ISO, and other styles

20

Wang, Gang-Rong, and 王崗嶸. "Modeling and regulation of a translatable rotating flexible beam involving large elastic deflections." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/19979044927328552051.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Chin, Wen-An, and 金文安. "Study of natural frequency of micro-beams by using couple stress theory and large deflection theory." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/44209151310192643947.

Full text

Abstract:

碩士
中原大學
機械工程研究所
100
The dynamic problems of Bernoulli–Euler beams are solved analytically on the basis of modified couple stress theory. The governing equations of equilibrium, initial conditions and boundary conditions are obtained by a combination of the basic equations of modified couple stress theory and Hamilton’s principle. Two boundary value problems (one for simply supported beam and another for cantilever beam) are solved and the size effect on the beam’s natural frequencies for two kinds of boundary conditions are assessed. It is found that the natural frequencies of the beams predicted by the new model are size-dependent. The difference between the natural frequencies predicted by the newly established model andclassical beam model is very significant when the ratio of characteristic sizes to internal material length scale parameter is approximately equal to one, but is diminishing with the increase of the ratio. The large deflection theory also is appliod in this study . The resnlts are comparied with Couple stress theory and some discussion has been provided.

APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic 'Large beam deflection'

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles