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, a size-dependent curved beam model is developed to take into account the effects of nonlocal stresses on the buckling behavior of curved magneto-electro-elastic FG nanobeams for the first time.
Abstract: In this work, a size-dependent curved beam model is developed to take into account the effects of nonlocal stresses on the buckling behavior of curved magneto-electro-elastic FG nanobeams for the first time. The governing differential equations are derived based on the principle of virtual work and Euler-Bernoulli beam theory. The power-law function is employed to describe the spatially graded magneto-electro-elastic properties. By extending the radius of the curved nanobeam to infinity, the results of straight nonlocal FG beams can be rendered. The effects of magnetic potential, electric voltage, opening angle, nonlocal parameter, power-law index and slenderness ratio on buckling loads of curved MEE-FG nanobeams are studied.
71 citations
TL;DR: In this article, the dynamic response of functionally graded beams with an open edge crack resting on an elastic foundation subjected to a transverse load moving at a constant speed was studied, where the material properties follow an exponential variation through the thickness direction.
71 citations
TL;DR: In this paper, bending, buckling, and free vibration of magnetoelectroelastic nanobeam are investigated based on nonlocal theory and Timoshenko beam theory according to the Maxwell equation and magneto...
Abstract: In this work, bending, buckling, and free vibration of magnetoelectroelastic nanobeam are investigated based on nonlocal theory and Timoshenko beam theory. According to Maxwell equation and magneto...
71 citations
TL;DR: In this paper, a three-layered beam theory has been given in which the continuity of displacements and the transverse shear stresses has been satisfied at the interfaces, and the final displacement parameters of the problem are only those corresponding to the base layer.
71 citations
TL;DR: In this article, a simple method for describing the dynamics of sandwich beams with foam or honeycomb cores is proposed. But the method is not suitable for the case of complex structures.
71 citations