Static bending and dynamic analysis of functionally graded piezoelectric beam subjected to electromechanical loads

Abstract

This paper investigates the static bending and free vibration analysis of functionally graded piezoelectric material beam under electromechanical loading. The effective material properties of functionally graded piezoelectric material beam are assumed to vary continuously through the thickness direction and are graded according to sigmoid law distribution. Both multi-layered and monomorph models have been considered in the present work. A two-dimensional finite element analysis has been performed using COMSOL Multiphysics Õ (version 4.2) software. The accuracy of the method was validated by comparing the results with the previous published work. The results presented in the paper shall be useful in the design of functionally graded piezoelectric material beam.

A Multi-Parameter Perturbation Solution for Functionally Graded Piezoelectric Cantilever Beams under Combined Loads

“…Lin and Muliana [ 25 ] studied the nonlinear electro-mechanical responses of FGPM beams undergoing small deformation gradients. Pandey and Parashar [ 26 ] investigated the static bending of the FGPM beam under electromechanical loading, in which the effective material properties of the FGPM beam are graded according to sigmoid law distribution. Duc et al [ 27 ] investigated the nonlinear dynamic response and vibration of an eccentrically stiffened FGPM plate subjected to mechanical and electrical loads in a thermal environment.…”

On modal analysis of axially functionally graded material beam under hygrothermal effect

“…In their study, governing equations were solved using Euler–Bernoulli beam theory with Von Karmon nonlinearity. It can be observed from literature 30–32 that the mechanical properties were varied smoothly along the thickness direction with both power law and sigmoid law distribution.…”

“…Vibration response of the FGM beam with piezoelectric properties was investigated by Pandey and Parashar 30 using the finite element method (FEM). Sharma 31 explored the harmonic DQ method for frequency analysis of the FGM beam with piezoelectric properties.…”

“…It may be seen from literature 47–51 that modal characteristics of functionally graded piezoelectric material (FGPM) beam was presented where mechanical properties were graded smoothly along the thickness direction with power law and sigmoid law distribution. In most of the above papers 20–32,47–51 modal analysis of FGM/FGPM beams has been performed without considering the thermal effect.…”

“…It has been revealed from the literature 20–32,47–68 that the mechanical properties are varying smoothly along the thickness of the beam. To the author's best knowledge, modal analysis of FGM beam under hygrothermal effect where material properties are graded continuously along the length of the beam has not been reported in the literature before.…”