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

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...