The isogeometric free vibration and transient response of functionally graded piezoelectric curved beam with elastic restraints

Abstract

This paper presents the natural vibration and transient response of functionally graded piezoelectric materials (FGPMs) curved beam with a numerical method. The unknown fields, geometry and material properties are described by the isogeometric method. The effects of axis extensibility, shear deformation, rotary inertia, general boundary condition and variable curvature are considered. The material with electrical properties are assumed varying continuously. The convergence and accuracy are validated in several numerical examples. Moreover, the effects of boundary conditions, material parameters and geometric proprieties are examined systematically. Finally, the transient response of curved beam subjected forces are fully reported. Keywords: Curved beam, Isogeometric, Functionally graded piezoelectric materials, Free and transient vibration, General restraints