Relevant bibliographies by topics / Timoshenko beam theory

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

Academic literature on the topic 'Timoshenko beam theory'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Timoshenko beam theory"

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Gul, U., and M. Aydogdu. "Wave Propagation Analysis in Beams Using Shear Deformable Beam Theories Considering Second Spectrum." Journal of Mechanics 34, no. 3 (2017): 279–89. http://dx.doi.org/10.1017/jmech.2017.27.

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AbstractIn this study, wave propagation in beams is studied using different beam theories like Euler-Bernoulli, Timoshenko and Reddy beam theories. Dispersion curves obtained for these beam theories are compared with the exact plane elasticity solutions. It is obtained that, there are two branches for Reddy beam theory similar to the Timoshenko beam theory. However, one branch is obtained for Euler-Bernoulli beam theory. The effects of in-plane load on Timoshenko and Reddy beam theories are examined and dispersion curves of the Timoshenko and Reddy beams are compared with exact plane elasticit
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LIM, TEIK-CHENG. "ANALYSIS OF AUXETIC BEAMS AS RESONANT FREQUENCY BIOSENSORS." Journal of Mechanics in Medicine and Biology 12, no. 05 (2012): 1240027. http://dx.doi.org/10.1142/s0219519412400271.

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The mechanics of beam vibration is of fundamental importance in understanding the shift of resonant frequency of microcantilever and nanocantilever sensors. Unlike the simpler Euler–Bernoulli beam theory, the Timoshenko beam theory takes into consideration rotational inertia and shear deformation. For the case of microcantilevers and nanocantilevers, the minute size, and hence low mass, means that the topmost deviation from the Euler–Bernoulli beam theory to be expected is shear deformation. This paper considers the extent of shear deformation for varying Poisson's ratio of the beam material,
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Wan, Chunfeng, Huachen Jiang, Liyu Xie, et al. "Natural Frequency Characteristics of the Beam with Different Cross Sections Considering the Shear Deformation Induced Rotary Inertia." Applied Sciences 10, no. 15 (2020): 5245. http://dx.doi.org/10.3390/app10155245.

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Based on the classical Timoshenko beam theory, the rotary inertia caused by shear deformation is further considered and then the equation of motion of the Timoshenko beam theory is modified. The dynamic characteristics of this new model, named the modified Timoshenko beam, have been discussed, and the distortion of natural frequencies of Timoshenko beam is improved, especially at high-frequency bands. The effects of different cross-sectional types on natural frequencies of the modified Timoshenko beam are studied, and corresponding simulations have been conducted. The results demonstrate that
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Park, Young-Ho, and Suk-Yoon Hong. "Vibrational Energy Flow Analysis of Corrected Flexural Waves in Timoshenko Beam – Part I: Theory of an Energetic Model." Shock and Vibration 13, no. 3 (2006): 137–65. http://dx.doi.org/10.1155/2006/308715.

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In this paper, an energy flow model is developed to analyze transverse vibration including the effects of rotatory inertia as well as shear distortion, which are very important in the Timoshenko beam transversely vibrating in the medium-to-high frequency ranges. The energy governing equations for this energy flow model are newly derived by using classical displacement solutions of the flexural motion for the Timoshenko beam, in detail. The derived energy governing equations are in the general form incorporating not only the Euler-Bernoulli beam theory used for the conventional energy flow mode
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Shi, Guangyu, and Qiaorong Guo. "On the Appropriate Rotary Inertia in Timoshenko Beam Theory." International Journal of Applied Mechanics 13, no. 04 (2021): 2150055. http://dx.doi.org/10.1142/s1758825121500551.

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The rotary inertia defined by Timoshenko to account for the angular velocity effect in flexural vibration of beams has been questioned by some researchers in recent years, and it caused some confusions. This paper discusses the appropriate rotary inertia in Timoshenko beam theory (TBT) and evaluates the influence of the two forms of the rotary inertia on the prediction of the higher-mode frequencies of transversely vibrating beams. Based on the theory of elasticity and variational principle, this work shows that the rotary inertia in the original TBT, defined in terms of the rotation of beam c
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Hilton, Harry H. "Viscoelastic Timoshenko beam theory." Mechanics of Time-Dependent Materials 13, no. 1 (2008): 1–10. http://dx.doi.org/10.1007/s11043-008-9075-4.

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Cao, MS, W. Xu, Z. Su, W. Ostachowicz, and N. Xia. "Local coordinate systems-based method to analyze high-order modes of n-step Timoshenko beam." Journal of Vibration and Control 23, no. 1 (2016): 89–102. http://dx.doi.org/10.1177/1077546315573919.

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High-frequency transverse vibration of stepped beams has attracted increasing attention in various industrial areas. For an n-step Timoshenko beam, the governing differential equations of transverse vibration have been well established in the literature on the basis of assembling classic Timoshenko beam equations for uniform beam segments. However, solving the governing differential equation has not been resolved well to date, manifested by a computational bottleneck: only the first k modes ( k ≤ 12) are solvable for i-step ( i ≥ 0) Timoshenko beams. This bottleneck diminishes the completeness
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Hutchinson, J. R., and S. D. Zillmer. "On the Transverse Vibration of Beams of Rectangular Cross-Section." Journal of Applied Mechanics 53, no. 1 (1986): 39–44. http://dx.doi.org/10.1115/1.3171735.

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An exact solution for the natural frequencies of transverse vibration of free beams with rectangular cross-section is used as a basis of comparison for the Timoshenko beam theory and a plane stress approximation which is developed herein. The comparisons clearly show the range of applicability of the approximate solutions as well as their accuracy. The choice of a best shear coefficient for use in the Timoshenko beam theory is considered by evaluation of the shear coefficient that would make the Timoshenko beam theory match the exact solution and the plane stress solution. The plane stress sol
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Ghayesh, Mergen H., Ali Farajpour, and Hamed Farokhi. "Asymmetric Oscillations of AFG Microscale Nonuniform Deformable Timoshenko Beams." Vibration 2, no. 2 (2019): 201–21. http://dx.doi.org/10.3390/vibration2020013.

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A nonlinear vibration analysis is conducted on the mechanical behavior of axially functionally graded (AFG) microscale Timoshenko nonuniform beams. Asymmetry is due to both the nonuniform material mixture and geometric nonuniformity. Using the Timoshenko beam theory, the continuous models for translation/rotation are developed via an energy balance. Size-dependence is incorporated via the modified couple stress theory and the rotation via the Timoshenko beam theory. Galerkin’s method of discretization is applied and numerical simulations are conducted for a size-dependent vibration of the AFG
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Ključanin, Dino, and Abaz Manđuka. "The cantilever beams analysis by the means of the first-order shear deformation and the Euler-Bernoulli theory." Tehnički glasnik 13, no. 1 (2019): 63–67. http://dx.doi.org/10.31803/tg-20180802210608.

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The effect of the Timoshenko theory and the Euler-Bernoulli theory are investigated in this paper through numerical and analytical analyses. The investigation was required to obtain the optimized position of the pipes support. The Timoshenko beam theory or the first order shear deformation theory was used regarding thick beams where the shearing effect of the beam is considered. The study of the thin beams was performed with the Euler-Bernoulli theory. The analysis was done for stainless steel AISI-440C beams with the rectangular cross-section. The steel beams were a cantilever and stressed un
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Dissertations / Theses on the topic "Timoshenko beam theory"

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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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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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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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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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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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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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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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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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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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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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Books on the topic "Timoshenko beam theory"

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Haque, Aamer. Timoshenko Beam Theory. Independently Published, 2018.

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Haque, Aamer. Timoshenko Beam Theory. Independently Published, 2019.

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Book chapters on the topic "Timoshenko beam theory"

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Öchsner, Andreas. "Timoshenko Beam Theory." In Classical Beam Theories of Structural Mechanics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76035-9_3.

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Chen, D., and L. Zhang. "Harmonic Vibration of Inclined Porous Nanocomposite Beams." In Lecture Notes in Civil Engineering. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-3330-3_52.

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AbstractThis work investigated the linear harmonic vibration responses of inclined beams featured by closed-cell porous geometries where the bulk matrix materials were reinforced by graphene platelets as nanofillers. Graded and uniform porosity distributions combined with different nanofiller dispersion patterns were applied in the establishment of the constitutive relations, in order to identify their effects on beam behavior under various harmonic loading conditions. The inclined beam model comprised of multiple layers and its displacement field was constructed using Timoshenko theory. Force
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Rao, Priya, S. Chakraverty, and Debanik Roy. "Dynamics of Slender Single-Link Flexible Robotic Manipulator Based on Timoshenko Beam Theory." In Mathematical Methods in Dynamical Systems. CRC Press, 2023. http://dx.doi.org/10.1201/9781003328032-10.

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Kondo, Kyohei. "Analysis of Potential Energy Release Rate of Composite Laminate Based on Timoshenko Beam Theory." In Advances in Composite Materials and Structures. Trans Tech Publications Ltd., 2007. http://dx.doi.org/10.4028/0-87849-427-8.513.

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Amouzadrad, P., S. C. Mohapatra, and C. Guedes Soares. "Hydroelastic response of a moored floating flexible structure based on Timoshenko-Mindlin beam theory." In Advances in the Analysis and Design of Marine Structures. CRC Press, 2023. http://dx.doi.org/10.1201/9781003399759-29.

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Amouzadrad, P., S. C. Mohapatra, and C. Guedes Soares. "Hydroelastic response of a moored floating flexible offshore structure based on Timoshenko-Mindlin-Beam theory." In Trends in Renewable Energies Offshore. CRC Press, 2022. http://dx.doi.org/10.1201/9781003360773-97.

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Zhang, Yunpeng, and Bo Diao. "Comparison of Nonlinear Analysis of RC Cross-Section Based on Timoshenko with Higher-Order Shear Deformation Beam Theory." In Recent Advances in Computer Science and Information Engineering. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25766-7_29.

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Oñate, Eugenio. "Thick/Slender Plane Beams. Timoshenko Theory." In Structural Analysis with the Finite Element Method Linear Statics. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-1-4020-8743-1_2.

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"The Timoshenko Beam Theory and Its Extension." In Symplectic Elasticity. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812778727_0003.

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"Intermediate Theory Between the Bernoulli–Euler and the Timoshenko–Ehrenfest Beam Theories: Truncated Timoshenko–Ehrenfest Equations." In Handbook on Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813236523_0003.

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Conference papers on the topic "Timoshenko beam theory"

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Gohari, Mohammad, Shifa Sulaiman, Francesco Schetter, and Fanny Ficuciello. "A Sliding Mode Controller Design Based on Timoshenko Beam Theory Developed for a Prosthetic Hand Wrist." In 2025 11th International Conference on Automation, Robotics, and Applications (ICARA). IEEE, 2025. https://doi.org/10.1109/icara64554.2025.10977675.

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Rajagopal, Anurag, and Dewey Hodges. "Generalized Timoshenko and Vlasov Theories for the Oblique Cross-Sectional Analysis of Rotor Blades." In Vertical Flight Society 70th Annual Forum & Technology Display. The Vertical Flight Society, 2014. http://dx.doi.org/10.4050/f-0070-2014-9495.

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An important aspect of rotor blade structural and aeroelastic analyses is the cross-sectional analysis, i.e., the step that generates the blade section properties and recovers 3D stress, strain and displacement. Although there exist several section tools of repute, they suffer from a shortcoming that the reference section has to be perpendicular to the reference line. Therefore, should a user possess the 3D material and geometric properties of a nonorthogonal or oblique section, a significant effort needs to be undertaken in order to get those of the corresponding orthogonal section. The prese
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Banerjee, J. Ranjan, David Kennedy, and Isaac Elishakoff. "Further Insights Into the Timoshenko-Ehrenfest Beam Theory." In ASME 2022 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/imece2022-96554.

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Abstract In this paper, the theory of a Timoshenko-Ehrenfest beam is revisited and given a new perspective with particular emphasis on the relative significances of the parameters underlying the theory. The investigation is intended to broaden the scope and applicability of the theory. It has been shown that the two parameters that characterise the Timoshenko-Ehrenfest beam theory, namely the rotary inertia and the shear deformation, can be related and hence they can be combined into one parameter when predicting the beam’s free vibration behaviour. A theoretical proof is given that explains w
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Aldraihem, Osama J., Robert C. Wetherhold, and Tarunraj Singh. "A Comparison of the Timoshenko Theory and the Euler-Bernoulli Theory for Control of Laminated Beams." In ASME 1996 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/imece1996-0655.

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Abstract In this paper, the governing equations and boundary conditions of laminated beam smart structures are presented. Sensor and actuator layers are included in the beam so as to facilitate vibration supression. Two mathematical models are presented: the shear-deformable (Timoshenko) model and the shear-indeformable (Euler-Bernoulli) model. The differential equations for a continuous beam are approximated by utilizing finite element techniques for both models. A cantilever laminated beam with and without a tip mass is investigated to assess the validity and the accuracy of the two models w
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Kahrobaiyan, M. H., M. Zanaty, and S. Henein. "An Analytical Model for Beam Flexure Modules Based on the Timoshenko Beam Theory." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67512.

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Short beams are the key building blocks in many compliant mechanisms. Hence, deriving a simple yet accurate model of their elastokinematics is an important issue. Since the Euler-Bernoulli beam theory fails to accurately model these beams, we use the Timoshenko beam theory to derive our new analytical framework in order to model the elastokinematics of short beams under axial loads. We provide exact closed-form solutions for the governing equations of a cantilever beam under axial load modeled by the Timoshenko beam theory. We apply the Taylor series expansions to our exact solutions in order
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Zhang, Yichi, and Bingen Yang. "Medium Frequency Vibration Analysis of Beam Structures Modeled by the Timoshenko Beam Theory." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23098.

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Abstract Vibration analysis of complex structures at medium frequencies plays an important role in automotive engineering. Flexible beam structures modeled by the classical Euler-Bernoulli beam theory have been widely used in many engineering problems. A kinematic hypothesis in the Euler-Bernoulli beam theory is that plane sections of a beam normal to its neutral axis remain normal when the beam experiences bending deformation, which neglects the shear deformation of the beam. However, as observed by researchers, the shear deformation of a beam component becomes noticeable in high-frequency vi
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Zirkelback, Nicole L., and Jerry H. Ginsberg. "Ritz Series Analysis of Rotating Machinery Incorporating Timoshenko Beam Theory." In ASME Turbo Expo 2001: Power for Land, Sea, and Air. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/2001-gt-0244.

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A shaft with attached rigid disks is modeled as a rotating Timoshenko beam supported by general compliant, nonconservative bearing supports. The continuous shaft-disk system is described with kinetic and potential energy functionals that fully account for transverse shear, translational and rotatory inertia, and gyroscopic coupling. Ritz series expansions are used to describe the flexural displacements and cross-sectional rotations about orthogonal fixed axes. The equations of motion are derived from Lagrange’s equations and placed in a state-space form that preserves the skew-symmetric gyrosc
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Rangari, Apurva Sunil, Isaac Elishakoff, and Korak Sarkar. "Slope-Inertia Model for Rotating Timoshenko-Ehrenfest Beams." In ASME 2023 Aerospace Structures, Structural Dynamics, and Materials Conference. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/ssdm2023-108413.

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Abstract Rotating beams are used to model various aerospace and mechanical structures like helicopter blades, wind turbines, gas turbine, propeller blades, etc. The long and slender beams are modelled using the Euler-Bernoulli beam theory (EBT). Whereas the short and thicker beams are usually modelled using the Timoshenko beam theory (TBT) in order to incorporate the effects of rotary inertia and shear deformation. This paper focuses on the free vibration analysis of axially inhomogeneous and nonuniform rotating beams considering the Timoshenko-Ehrenfest slope-inertia model (TESIM) as the gove
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Chiu, Rong, and Wenbin Yu. "Heterogeneous Beam Element Based on Timoshenko Beam Model." In ASME 2022 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/imece2022-94187.

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Abstract Traditional multiscale methods homogenize a beam-like structure into a material point in 1-D continuum with effective properties computed over a structure gene in terms of a cross-section or a 3D segment with spanwise periodicity. Such methods lose accuracy when dealing with real world beam-like structures usually not uniform or periodic along the spanwise direction. Thus, traditional multiscale methods cannot be rigorously applied to these cases. In our previous work, a new multiscale method was proposed based on a novel application of the recently developed Mechanics of Structure Ge
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Xie, M., F. M. L. Amirouche, and M. Valco. "Dynamic Analysis of Gear Meshing Teeth Using Modified Timoshenko Beam Theory." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0057.

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Abstract An explicit dynamical formulation of the gear meshing teeth using modified Timoshenko beam theory is presented in this paper. The acting position direction and magnitude of the external force is assumed time variant. The meshing tooth is modeled as a cantilever beam where the inertia forces due to the large rotation of the tooth base, as well as the external equivalent axial force and moment are all included in the equations of motion. Computer algorithms for gear dynamics based on the theory developed is presented. In the numerical simulations, the involute for the gear tooth profile
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Reports on the topic "Timoshenko beam theory"

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Tang, Yi-Qun, and Yao-Peng Liu. SECOND-ORDER ELASITC ANALYSIS OF TWO-DIMENSIONAL FRAMES BASED ON TIMOSHENKO BEAM THEORY. The Hong Kong Institute of Steel Construction, 2018. http://dx.doi.org/10.18057/icass2018.p.161.

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