Dispersion characteristics of guided waves in functionally graded anisotropic micro/nano-plates based on the modified couple stress theory

In this paper, the acoustic wave motion characteristics of Lamb and SH waves in functionally graded (FG) anisotropic micro/nano-plates are studied based on modified couple stress theory. A higher efficient computational approach, extended Legendre orthogonal polynomial method (LOPM) is utilized to deduce solving process. This does not need solve FG hierarchically, which provides a more realistic analysis model for has high efficiency. Simultaneously, solutions global matrix (GMM) also deduced verify correctness method. Furthermore, effects size material gradient detail. Numerical results show that effect causes wrinkles dispersion curves, characteristic changes amplitude range wrinkles. For waves, length scale parameter Lx increases cut-off frequency but change overall trend curve; contrary, Lz curve an upward trend.