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 buckling analysis of cross-ply laminated beams subjected to different sets of boundary conditions is considered, and the critical buckling loads are obtained by applying the Ritz method where the three displacement components are expressed in a series of simple algebraic polynomials.
80 citations
TL;DR: In this article, a micro-scale free vibration analysis of composite laminated Timoshenko beam (CLTB) model is developed based on the new modified couple stress theory, which uses rotationdisplacement as dependent variable and contains only one material length scale parameter.
Abstract: A micro-scale free vibration analysis of composite laminated Timoshenko beam (CLTB) model is developed based on the new modified couple stress theory. In this theory, a new anisotropic constitutive relation is defined for modeling the CLTB. This theory uses rotation–displacement as dependent variable and contains only one material length scale parameter. Hamilton’s principle is employed to derive the governing equations of motion and boundary conditions. This new model can be reduced to composite laminated Bernoulli–Euler beam model of the couple stress theory. An example analysis of free vibration of the cross-ply simply supported CLTB model is adopted, and an explicit expression of analysis solution is given. Additionally, the numerical results show that the present beam models can capture the scale effects of the natural frequencies of the micro-structure.
80 citations
TL;DR: In this paper, a special finite element for a cracked Timoshenko beam is developed to model the structure for FEM analysis, and shape functions for rotational and translational displacements are used to obtain the consistent mass matrix for the cracked beam element.
80 citations
TL;DR: In this article, the behavior of a voussoir hard rock beam roof is investigated by considering it to act as a symmetric flat arch with cracks at the abutments and at midspan.
80 citations
TL;DR: In this paper, finite element formulations for nonlocal elastic Euler-Bernoulli beam theory and Timoshenko beam theory have been reported, and bending, buckling and vibration analyses are extended to tapered beams.
80 citations