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, a nonlocal elastic Timoshenko beam model is developed for free vibration analysis of zigzag single-walled carbon nanotube (SWCNT) considering thermal effect.
59 citations
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TL;DR: In this article, the governing equations and boundary conditions of laminated beam-like components of smart structures are reviewed, and two mathematical models, namely the shear-deformable (Timoshenko) model and the Euler-Bernoulli model, are presented.
Abstract: In this paper, the governing equations and boundary conditions of laminated beamlike components of smart structures are reviewed. Sensor and actuator layers are included in the beam so as to facilitate vibration suppression. Two mathematical models, namely the shear-deformable (Timoshenko) model and the shear-indeformable (Euler-Bernoulli) model, are presented. The differential equations of the continuous system 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 when used for vibration suppression. Comparison between the two models is presented to show the advantages and the limitations of each of the models. Since the Timoshenko beam theory is higher order than the Euler Bernoulli theory, it is known to be superior in predicting the transient response of the beam. The superiority of the Timoshenko model is more pronounced for beams with a low aspect ratio...
59 citations
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TL;DR: In this article, a new generalized Timoshenko beam model was developed for a two-dimensional periodic matrix-fiber-matrix laminate and a new mechanism based on shear instability of matrix was proposed for kink band formation and a simple formula was then derived to predict the kink angle.
59 citations
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TL;DR: In this article, a new approach for analyzing transverse bending and vibration of circular cylindrical beams with radial nonhomogeneity was presented, which does not need to introduce a shear correction factor.
59 citations
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TL;DR: In this paper, the authors derived the governing two-dimensional equations for sandwich plates by an asymptotic analysis of linear three-dimensional elasticity and showed that the classical plate theory works only within a certain range of parameters.
58 citations