Vibration Analysis and Transient Response of an FGPM Beam under Thermo-Electro-Mechanical Loads using Higher-Order Shear Deformation Theory

Abstract

This article presents the free and forced vibration characteristics of an FGPM beam under thermo-electro-mechanical loads using the higher-order shear deformation beam theory. The beam properties are assumed to vary through the thickness direction following the power law distribution in terms of the volume fractions of the constituent materials. The governing equations of motion are derived using Hamilton’s principle. The resulting system of differential equations of vibration is solved using the finite element method. The effects of boundary conditions, material composition, slenderness ratio, mechanical, thermal and electric loading, and transverse shear deformation on natural frequencies and transient response are investigated.