Topic
Timoshenko beam theory
About: Timoshenko beam theory is a research topic. Over the lifetime, 9426 publications have been published within this topic receiving 200570 citations.
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TL;DR: In this article, the nonlinear forced vibrations and stability of an axially moving Timoshenko beam with an intra-span spring-support are investigated numerically, and three coupled nonlinear partial differential equations of motion are obtained using Hamilton's principle along with stress-strain relations.
64 citations
TL;DR: In this paper, Discrete singular convolution method is used for numerical solution of equation of motion of Timoshenko beam, which is very effective for the study of vibration problems of timoshenko beam.
Abstract: Free vibration analysis of Timoshenko beams has been presented. Discrete singular convolution method is used for numerical solution of equation of motion of Timoshenko beam. Clamped, pinned and sliding boundary conditions and their combinations are taken into account. Typical results are presented for different parameters and boundary conditions. Numerical results are presented and compared with that available in the literature. It is shown that very good results are obtained. This method is very effective for the study of vibration problems of Timoshenko beam. Copyright © 2009 John Wiley & Sons, Ltd.
63 citations
TL;DR: In this article, a size-dependent Timoshenko beam model is used for free vibration and instability analysis of a nanotube conveying nanoflow, where the extended Hamilton's principle is employed to obtain the sizedependent governing equations of motion.
63 citations
TL;DR: In this article, a comprehensive assessment of design parameters for various beam theories subjected to a moving mass is investigated under different boundary conditions The design parameters are adopted as the maximum dynamic deflection and bending moment of the beam, and the results indicate the existence of a critical beam slenderness mostly as a function of beam boundary condition, in which, for slenderness lower than this so-called critical one, the application of Euler-Bernoulli or even Timoshenko beam theories would underestimate the real dynamic response of the system.
63 citations
TL;DR: In this article, closed-form solutions for elastica with axial and shear deformations were derived using elliptic integrals, using the Timoshenko beam theory of finite displacements with finite strains.
63 citations