High-frequency temperature-dependent vibration of nonlocal functionally graded sandwich nanoplates resting on elastic foundations

This article studies the role of temperature and nonlocality on the low- and high-frequency behaviors of functionally graded sandwich nanoplates resting on Winkler–Pasternak foundations. The small-scale effects are incorporated using nonlocal elasticity theory. The rise in temperature is characterized by the uniform, linear, and nonlinear distributions. The governing equations are solved using Navier's solution, ensuring convergence of frequencies at any mode sequence number. A comprehensive parametric study is presented to elucidate the effects of various parameters on the low- and high-frequency behaviors of functionally graded sandwich nanoplates. The findings provide fundamental insights for the design, testing, and manufacture of nanostructures.