Thermo-electro-mechanical vibration and buckling analysis of quadrilateral and triangular nanoplates with the nonlocal finite strip method

Abstract

As a first endeavor, thermo-electro-mechanical analysis of quadrilateral and triangular piezoelectric nanoplates are investigated based on the nonlocal theory and the Kirchhoff plate theory. It is assumed that the piezoelectric nanoplate is subjected to a biaxial force, an external electric voltage, and a uniform temperature rise. Hamilton’s principle is employed to derive the governing equations. The B3-spline finite strip method used to determine the natural frequencies, buckling loads, and corresponding mode shapes of displacement and the electric potential of quadrilateral and triangular piezoelectric nanoplates, for the first time. The comprehensive parametric study is conducted to explore the effect of the nonlocal parameter, geometrical shape, thermo-electro-mechanical loadings, boundary conditions, aspect ratio, and side length. It is shown that small-scale effect plays a considerable role in the buckling and vibration behavior of quadrilateral and triangular piezoelectric nanoplates.