This is a review paper containing the governing equations and analytical solutions of classical shear deformation theories functionally graded straight beams. The classical, first-order, third-order account for through-thickness variation two-constituent material, modified couple stress (i.e., strain gradient), von Kármán nonlinearity. Analytical bending linear theories, some which are not read...

ABSTRACT Numerous engineering applications exist for the piezoelectric effect, which results from electromechanical coupling between electrical and mechanical fields. In-plane vibrations of plates’ resonance frequencies associated mode shapes have been thoroughly investigated. However, analytical solutions in-plane-dominated thick circular plates are limited. In this paper, higher-order plate t...

This study develops a comprehensive vibrational analysis of rotating nanobeams on visco-elastic foundations with thermal effects based the modified couple stress and Eringen’s nonlocal elasticity theories. approach accurately simulates size effects. Higher-order shear deformation beam theory generalized differential quadrature method are used to obtain numerical results. The parameters, length ...

In this research, a control feedback system is used to study the free vibration response of rectangular plate made of magnetostrictive material (MsM) for the first time. A new trigonometric higher order shear deformation plate theory are utilized and the results of them are compared with two theories in order to clarify their accuracy and errors. Pasternak foundation is selected to modelling of...