Nonlinear wave motion in a magneto thermo piezoelectric FG nanobeam using nonlocal state-space strain gradient integral model

Abstract

Vibration analysis of magneto thermo piezoelectric Functionally Graded Material (MTPFGM) nanobeam is studied
using nonlinear state space nonlocal strain gradient integral model. Constituent characteristics of FGM are discussed by using the
power law relations. Mathematical modelling of MTPFGM nanobeam is performed by considering the concept of refined higher
order beam theory and Hamilton’s principle. Besides, the governing equations of the MTPFGM nanobeam are addressed via
Eringen-Boltzmann superposition integral model. And to solve the wave propagation problems, the analytical wave dispersion
method is used. The analytical outcomes to the physical variables such as magnetic potential, temperature gradient, electric voltage and amplitude of nonlinear frequency are evaluated and presented in graph and tables.