Journal ArticleDOI
The Shear Coefficient in Timoshenko’s Beam Theory
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This article is published in Journal of Applied Mechanics.The article was published on 1966-06-01. It has received 1602 citations till now. The article focuses on the topics: Timoshenko beam theory & Shear modulus.read more
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A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
H. M. Ma,Xin-Lin Gao,J. N. Reddy +2 more
TL;DR: In this paper, a microstructure-dependent Timoshenko beam model is developed using a variational formulation, which is based on a modified couple stress theory and Hamilton's principle.
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Dynamics of transversely vibrating beams using four engineering theories
TL;DR: In this article, the full development and analysis of four models for the transversely vibrating uniform beam are presented, including the Euler-Bernoulli, Rayleigh, shear and Timoshenko models.
Book
Introduction to finite element vibration analysis
TL;DR: In this article, the finite element displacement method was used for the analysis of free vibration of plates and shells, and for the simulation of forced response and forced response analysis of rigid and flexible plates.
Journal ArticleDOI
Microstructure-dependent couple stress theories of functionally graded beams
TL;DR: In this article, a microstructure-dependent nonlinear Euler-Bernoulli and Timoshenko beam theory was proposed to account for through-thickness power-law variation of a two-constituent material.
Journal ArticleDOI
Shear coefficients for Timoshenko beam theory
TL;DR: The Timoshenko beam theory includes the effects of shear deformation and rotary inertia on the vibrations of slender beams as discussed by the authors, which has been the subject of much previous research.