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

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.