Nonlinear frequency analysis of piezoelectric functionally graded porous plates reinforced by graphene platelets under thermo-electro-mechanical loads
Yu Zhang, Xuankai Guo, Zhi Ni, Yangyang Zhang, He Zhang, Chaofeng Lü, Jie Yang
Abstract
Piezoelectric functionally graded porous plates reinforced by graphene platelets (PFGP-GPL) are frequently subjected to extreme thermal environments, large amplitude excitation and strong electric fields. It is a significant challenge to accurately predict the nonlinear frequency of PFGP-GPL under thermo-electro-mechanical loads. In this article, we propose a nonlinear isogeometric analysis model that comprehensively considers geometric nonlinearity, piezoelectric nonlinearity, and temperature dependence. Using the nonlinear constitutive equations and the Von Kármán nonlinear strain-displacement relationships, the nonlinear isogeometric equation for PFGP-GPL under thermo-electro-mechanical loads was established based on the Halpin–Tsai micromechanics model and first-order shear deformation theory. Subsequently, the nonlinear fundamental frequency of the PFGP-GPL under thermo-electro-mechanical loads is determined using an iterative method, and the accuracy of the model is validated through comparison with existing literature. Based on the nonlinear isogeometric formulation considering the effects of geometric nonlinearity, piezoelectric nonlinearity and temperature dependence, we conduct further studies on the effects of different GPL and porosity parameters, temperature, and voltage on the nonlinear frequency of the PFGP-GPL. The findings indicate that these factors exert a considerable influence on the nonlinear frequency of PFGP-GPL.