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Dissertations / Theses on the topic 'Timoshenko beam theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Batihan, Ali Cagri. "Vibration Analysis Of Cracked Beams On Elastic Foundation Using Timoshenko Beam Theory." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613602/index.pdf.

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In this thesis, transverse vibration of a cracked beam on an elastic foundation and the effect of crack and foundation parameters on transverse vibration natural frequencies are studied. Analytical formulations are derived for a beam with rectangular cross section. The crack is an open type edge crack placed in the medium of the beam and it is uniform along the width of the beam. The cracked beam rests on an elastic foundation. The beam is modeled by two different beam theories, which are Euler-Bernoulli beam theory and Timoshenko beam theory. The effect of the crack is considered by represent

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2

O'Leary, Beth Andrews. "Analysis of high-speed rotating systems using Timoshenko beam theory in conjunction with the transfer matrix method /." Online version of thesis, 1989. http://hdl.handle.net/1850/10608.

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3

Hayes, Michael David. "Structural Analysis of a Pultruded Composite Beam: Shear Stiffness Determination and Strength and Fatigue Life Predictions." Diss., Virginia Tech, 2003. http://hdl.handle.net/10919/11066.

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This dissertation is focused on understanding the performance of a particular fiber-reinforced polymeric composite structural beam, a 91.4 cm (36 inch) deep pultruded double-web beam (DWB) designed for bridge construction. Part 1 focuses on calculating the Timoshenko shear stiffness of the DWB and understanding what factors may introduce error in the experimental measurement of the quantity for this and other sections. Laminated beam theory and finite element analysis (FEA) were used to estimate the shear stiffness. Several references in the literature have hypothesized an increase in the e

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4

Balarezo, Salgado José Illarick, and Arroyo Edgard Cristian Corilla. "Análisis de vibración libre de vigas laminadas de materiales compuestos utilizando el método de elementos finitos." Bachelor's thesis, Universidad Peruana de Ciencias Aplicadas (UPC), 2021. http://hdl.handle.net/10757/657266.

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Se presenta un modelo de elementos finitos que describe el comportamiento de vibración de libre de vigas compuestas laminadas. Se desarrolla el modelo utilizando el principio de Hamilton y la teoría de vigas Timoshenko que incluye deformaciones por corte. Se asume interpolaciones de alto orden para la aproximación de las variables fundamentales. Los laminados compuestos son ortotrópicos con fibras orientadas en diferentes direcciones. Se implementa un programa para materiales compuestos laminado en MATLAB. Se comparan resultados con otros obtenidos en la literatura para validar el modelo. Se r

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5

Martins, Jaime Florencio. "Influência da inércia de rotação e da força cortante nas freqüências naturais e na resposta dinâmica de estruturas de barras." Universidade de São Paulo, 1998. http://www.teses.usp.br/teses/disponiveis/18/18134/tde-18042018-102329/.

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A clássica teoria de Euler-Bernoulli para vibrações transversais de vigas elásticas é sabido não ser adequada para vibrações de altas freqüências, como é o caso de vibração de vigas curtas. Esta teoria assume que a deflexão deve-se somente ao momento fletor, uma vez que os efeitos da inércia de rotação e da força cortante são negligenciados. Lord Rayleigh complementou a teoria clássica demonstrando a contribuição da inércia de rotação e Timoshenko estendeu a teoria ao incluir os efeitos da força cortante. A equação resultante é conhecida como sendo a que caracteriza a chamada teoria de viga de

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6

Dona, Marco. "Static and dynamic analysis of multi-cracked beams with local and non-local elasticity." Thesis, Loughborough University, 2014. https://dspace.lboro.ac.uk/2134/14893.

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The thesis presents a novel computational method for analysing the static and dynamic behaviour of a multi-damaged beam using local and non-local elasticity theories. Most of the lumped damage beam models proposed to date are based on slender beam theory in classical (local) elasticity and are limited by inaccuracies caused by the implicit assumption of the Euler-Bernoulli beam model and by the spring model itself, which simplifies the real beam behaviour around the crack. In addition, size effects and material heterogeneity cannot be taken into account using the classical elasticity theory du

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7

Dlugoš, Jozef. "Výpočtové modelování dynamiky pístního kroužku." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2014. http://www.nusl.cz/ntk/nusl-231299.

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Piston rings are installed in the piston and cylinder wall, which does not have a perfect round shape due to machining tolerances or external loads e.g. head bolts tightening. If the ring cannot follow these deformations, a localized lack of contact will occur and consequently an increase in the engine blow-by and lubricant oil consumption. Current 2D computational methods can not implement such effects – more complex model is necessary. The presented master’s thesis is focused on the developement of a flexible 3D piston ring model able to capture local deformations. It is based on the Timoshe

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8

Dixit, Akash. "Damage modeling and damage detection for structures using a perturbation method." Diss., Georgia Institute of Technology, 2012. http://hdl.handle.net/1853/43575.

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This thesis is about using structural-dynamics based methods to address the existing challenges in the field of Structural Health Monitoring (SHM). Particularly, new structural-dynamics based methods are presented, to model areas of damage, to do damage diagnosis and to estimate and predict the sensitivity of structural vibration properties like natural frequencies to the presence of damage. Towards these objectives, a general analytical procedure, which yields nth-order expressions governing mode shapes and natural frequencies and for damaged elastic structures such as rods, beams, plates an

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9

Balarezo, Salgado José Illarick, and Arroyo Edgard Cristian Corilla. "Análisis de vibración libre de vigas laminadas de materiales compuestos utilizando el método de elementos finitos." Bachelor's thesis, Universidad Peruana de Ciencias Aplicadas (UPC), 2001. http://hdl.handle.net/10757/654828.

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Esta investigación se enfoca en el análisis de vibración libre de vigas Timoshenko utilizando el método de elementos finitos. Se desarrolla el modelo utilizando el principio de Hamilton y la teoría de vigas Timoshenko que incluye deformaciones por corte. Se asume interpolaciones de alto orden para la aproximación de las variables fundamentales. Los materiales para emplear son isotrópicos. Se implementa un programa para estos materiales en MATLAB. Se comparan resultados con otros obtenidos en la literatura para validar el modelo. Se realiza un estudio paramétrico con una misma longitud y difere

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10

Balarezo, Salgado José Illarick, and Arroyo Edgard Cristian Corilla. "Vibración libre de vigas de material isotrópico utilizando el método de elementos finitos." Bachelor's thesis, Universidad Peruana de Ciencias Aplicadas (UPC), 2021. http://hdl.handle.net/10757/654828.

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Esta investigación se enfoca en el análisis de vibración libre de vigas Timoshenko utilizando el método de elementos finitos. Se desarrolla el modelo utilizando el principio de Hamilton y la teoría de vigas Timoshenko que incluye deformaciones por corte. Se asume interpolaciones de alto orden para la aproximación de las variables fundamentales. Los materiales para emplear son isotrópicos. Se implementa un programa para estos materiales en MATLAB. Se comparan resultados con otros obtenidos en la literatura para validar el modelo. Se realiza un estudio paramétrico con una misma longitud y difere

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11

Rastegar, Damoon. "Modification of Aeroelastic Model for Vertical Axes Wind Turbines." Thesis, Blekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-3388.

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In wind turbines, flow pressure variations on the air-structure interface cause aerodynamic forces. Consequently the structure deforms and starts to move. The interaction between aerodynamic forces and structural deformations mainly concerns aeroelasticity. Since these two are coupled, they have to be considered simultaneously in cases which the deformations are not negligible in comparison to the other geometric dimensions. The purpose of this work is to improve the simulation model of a vertical axis wind turbine by modifying the structural model from undamped Euler-Bernoulli beam theory wit

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12

Goltsch, Mandy. "A small perturbation based optimization approach for the frequency placement of." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/28173.

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Thesis (M. S.)--Aerospace Engineering, Georgia Institute of Technology, 2009.<br>Committee Chair: Mavris, Dimitri; Committee Member: Bauchau, Olivier; Committee Member: Schrage, Daniel; Committee Member: Volovoi, Vitali; Committee Member: Yu, Wenbin.

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13

Backström, Daniel. "Modelling the flexural dynamics of sandwich beams using Bernoulli-Euler or Timoshenko theory with frequency dependent parameters /." Stockholm, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-508.

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14

Hadžalić, Emina. "Analysis of pore pressure influence on failure mechanisms in structural systems." Thesis, Compiègne, 2019. http://www.theses.fr/2019COMP2502.

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Cette thèse porte sur la sécurité globale des structures en matériaux hétérogènes saturés soumis à des charges extrêmes, et est appliquée à des problèmes d’interaction fluide-structure, tels que l’interaction barrage-réservoir. Un modèle numérique d’interaction est proposé pour prédire les principales tendances et le comportement général d’un barrage en matériau saturé en interaction avec le réservoir dans des analyses de défaillance d’intérêt pratique. Le modèle numérique proposé est d’abord présenté dans un cadre bidimensionnel (2D), puis étendu à un cadre tridimensionnel (3D). La structure

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15

Raut, Ameeta A. "Nonlinear Analysis of Beams Using Least-Squares Finite Element Models Based on the Euler-Bernoulli and Timoshenko Beam Theories." 2009. http://hdl.handle.net/1969.1/ETD-TAMU-2009-12-7241.

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The conventional finite element models (FEM) of problems in structural mechanics are based on the principles of virtual work and the total potential energy. In these models, the secondary variables, such as the bending moment and shear force, are post-computed and do not yield good accuracy. In addition, in the case of the Timoshenko beam theory, the element with lower-order equal interpolation of the variables suffers from shear locking. In both Euler-Bernoulli and Timoshenko beam theories, the elements based on weak form Galerkin formulation also suffer from membrane locking when applied to

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16

Chang, Chien Lung, and 張建隆. "Vibration of a composite beam of the through-width delamination relative to buckled states with Timoshenko-beam theory." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/79707658768623612807.

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碩士<br>國立中興大學<br>土木工程學系<br>90<br>In this study, a composite laminated beam with through-width delamination subjected to axial load along two clamped edges is considered. The fiber of the layers with a composite laminated beam has different angles, and an across-the-width delamination is located between layers. Shear effect and rotary inertia terms, are taken into account in the governing equations of postbuckling deformation and vibration. Based on this model, postbuckling deformations of intact and delaminated beams are found analytically. By using the perturbation method, the frequencies of

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17

Huy, Vu Quang, and Vu Quang Huy. "Dynamic modeling and control of a bending roll system using Timoshenko beam theory and model predictive control." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/4ak4nh.

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博士<br>國立臺灣科技大學<br>自動化及控制研究所<br>99<br>Roll system is an essential and very important part of a lot of processing machines in textile industry such as processing calender and dye machines. Deflection and vibration, normally occurring in the processing-roll system, have always been large drawbacks of many industrial processes, especially, related to textile industry. Hence, this study introduced a new dynamic control system, including a bending actuator and a proposed controller to suppress vibration, compensate deflection. First, a new mathematic model of a combined-roll is obtained by using eig

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18

Su, Ying-Yu. "Analytical Study on Adhesively Bonded Joints Using Peeling Test and Symmetric Composite Models Based on Bernoulli-Euler and Timoshenko Beam Theories for Elastic and Viscoelastic Materials." Thesis, 2010. http://hdl.handle.net/1969.1/ETD-TAMU-2010-12-8828.

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Adhesively bonded joints have been investigated for several decades. In most analytical studies, the Bernoulli-Euler beam theory is employed to describe the behaviour of adherends. In the current work, three analytical models are developed for adhesively bonded joints using the Timoshenko beam theory for elastic material and a Bernoulli-Euler beam model for viscoelastic materials. One model is for the peeling test of an adhesively bonded joint, which is described using a Timoshenko beam on an elastic foundation. The adherend is considered as a Timoshenko beam, while the adhesive is taken to be

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19

Jyun-YuLiou and 柳俊宇. "An RMVT-based nonlocal Timoshenko beam theory for the buckling analysis of an embedded single-walled carbon nanotube with various boundary conditions." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/99607173933453639211.

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碩士<br>國立成功大學<br>土木工程學系<br>104<br>On the basis of Reissner’s mixed variational theory (RMVT), a nonlocal Timoshenko beam theory (TBT) is developed for the stability analysis of a single-walled carbon nanotube (SWCNT) embedded in an elastic medium, with various boundary conditions and under axial loads. Eringen’s nonlocal elasticity theory is used to account for the small length scale effect. The strong formulations of the RMVT- based nonlocal TBT and its associated possible boundary conditions are presented. The interaction between the SWCNT and its surrounding elastic medium is simulated using

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20

Wei-WenLai and 賴偉文. "Mechanical behavior of a single-walled carbon nanotube embedded in an elastic medium and using the RMVT-based nonlocal Timoshenko beam theory." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/66470633858657958041.

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碩士<br>國立成功大學<br>土木工程學系<br>103<br>A nonlocal Timoshenko beam theory (TBT), based on the Reissner mixed variational theorem (RMVT), is developed for the analysis of a single-walled carbon nanotube (SWCNT) embedded in an elastic medium and with various boundary conditions. The comparisons between the results obtained by using the RMVT-based nonlocal TBT and those of principle of virtual displacement (PVD)-based one. The strong formulations of the RMVT- and PVD-based nonlocal TBTs are derived by using Hamilton’s principle, in which Eringen’s nonlocal constitutive relations are used to account for

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21

Arbind, Archana. "Nonlinear Analysis of Conventional and Microstructure Dependent Functionally Graded Beams under Thermo-mechanical Loads." Thesis, 2012. http://hdl.handle.net/1969.1/ETD-TAMU-2012-08-11478.

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Nonlinear finite element models of functionally graded beams with power-law variation of material, accounting for the von-Karman geometric nonlinearity and temperature dependent material properties as well as microstructure dependent length scale have been developed using the Euler-Bernoulli as well as the first-order and third- order beam theories. To capture the size effect, a modified couple stress theory with one length scale parameter is used. Such theories play crucial role in predicting accurate deflections of micro- and nano-beam structures. A general third order beam theory for micros

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22

Sudhakar, V. "Wave Propagation in Sandwich Beam Structures with Novel Modeling Schemes." Thesis, 2016. http://etd.iisc.ac.in/handle/2005/2737.

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Sandwich constructions are the most commonly used structures in aircraft and navy industries, traditionally. These structures are made up of the face sheets and the core, where the face sheets will be taking the load and is connected to other structural members, while the soft core material, will be used to absorb energy during impact like situation. Thus, sandwich constructions are mainly employed in light weight structures where the high energy absorption capability is required. Generally the face sheets will be thin, made up of either metallic or composite material with high stiffness and s

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23

Sudhakar, V. "Wave Propagation in Sandwich Beam Structures with Novel Modeling Schemes." Thesis, 2016. http://hdl.handle.net/2005/2737.

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Sandwich constructions are the most commonly used structures in aircraft and navy industries, traditionally. These structures are made up of the face sheets and the core, where the face sheets will be taking the load and is connected to other structural members, while the soft core material, will be used to absorb energy during impact like situation. Thus, sandwich constructions are mainly employed in light weight structures where the high energy absorption capability is required. Generally the face sheets will be thin, made up of either metallic or composite material with high stiffness and s

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24

Sarkar, Korak. "Inverse Problems in Free Vibration Analysis of Rotating and Non-Rotating Beams and its Application to Random Eigenvalue Characterization." Thesis, 2016. http://etd.iisc.ac.in/handle/2005/3139.

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

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25

Sarkar, Korak. "Inverse Problems in Free Vibration Analysis of Rotating and Non-Rotating Beams and its Application to Random Eigenvalue Characterization." Thesis, 2016. http://hdl.handle.net/2005/3139.

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

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26

Appuhamilage, Galhena. "Effects of Blast Loading on Reinforced Concrete Facade Systems." Thesis, 2015. https://vuir.vu.edu.au/29785/.

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Facade systems are an integral part of modern day construction, especially with reinforced concrete structures. These facade systems are typically designed to withstand the effects of normal service loads and severe weather conditions. However, these elements are rarely designed to withstand the effects of an external explosion, which is considered as a rising threat to structural safety with the recent escalation of terrorist activities. In addition, these facade systems will act as the first layer of defence against an external explosion limiting the damage to the main structure. The aim of

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