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 paper, the nonlinear free vibration of functionally graded (FG) nanobeams with immovable ends was studied using the nonlocal elasticity within the frame work of Euler-Bernoulli beam theory with von karman type nonlinearity.
154 citations
TL;DR: In this paper, the effects of rotary inertia and shear deformation on transverse wave propagation in individual carbon nanotubes (CNTs) within terahertz range were investigated.
Abstract: This paper studies effects of rotary inertia and shear deformation on transverse wave propagation in individual carbon nanotubes (CNTs) within terahertz range. Detailed results are demonstrated for transverse wave speeds of doublewall CNTs, based on Timoshenko-beam model and Euler-beam model, respectively. The present models predict some terahertz critical frequencies at which the number of wave speeds changes. The effects of rotary inertia and shear deformation are negligible and transverse wave propagation can be described satisfactorily by the existing single-Euler-beam model only when the frequency is far below the lowest critical frequency. When the frequency is below but close to the lowest critical frequency, rotary inertia and shear deformation come to significantly affect the wave speed. Furthermore, when the frequency is higher than the lowest critical frequency, more than one wave speed exists and transverse waves of given frequency could propagate at various speeds that are considerably different than the speed predicted by the single-Euler-beam model. In particular, rotary inertia and shear deformation have a significant effect on both the wave speeds and the critical frequencies especially for CNTs of larger radii. Hence, terahertz transverse wave propagation in CNTs should be better modeled by Timoshenko-beam model, instead of Euler-beam model.
154 citations
TL;DR: In this article, the buckling characteristics of a curved functionally graded (FG) nanobeam based on nonlocal strain gradient elasticity theory accounting the stress for not only the nonlocal stress field but also the strain gradients stress field were investigated.
154 citations
TL;DR: In this paper, a mixed method is presented to study the dynamic behavior of functionally graded (FG) beams subjected to moving loads, and the theoretical formulations are based on Euler-Bernoulli beam theory.
154 citations
TL;DR: In this paper, a study of free vibration of Timoshenko beams and Mindlin plates is presented based on a new numerical scheme, where collocation by radial basis functions and pseudospectral methods are combined to produce highly accurate results.
153 citations