Nonlocal state-space strain gradient wave propagation of magneto thermo piezoelectric functionally graded nanobeam

Abstract In this work, the state -space nonlocal strain gradient theory is used for vibration analysis of magneto thermo piezoelectric functionally graded material (FGM) nanobeam. An FGM constituent properties stated by using power law relations. The refined higher order beam and Hamilton’s principle have been to obtain motion equations. Besides, governing equations nanobeam are extracted developed state-space theory. And solve wave propagation problems, analytical dispersion method used. effect magnetic potential, temperature gradient, electric voltage in variant parameters presented graph.