Damping vibration analysis of smart piezoelectric polymeric nanoplates on viscoelastic substrate based on nonlocal strain gradient theory

摘要

This paper develops a nonlocal strain gradient plate model for damping vibration analysis of smart piezoelectric polymeric nanoplates resting on visco-Pasternak medium. For more accurate analysis of piezoelectric nanoplate, the proposed theory contains two scale parameters related to the nonlocal and strain gradient effects. Viscoelastic effect is considered based on Kelvin-Voit model. Governing equations of a nonlocal strain gradient smart nanoplate on viscoelastic substrate are derived via Hamilton's principle. Galerkin's method is implemented to solve the governing equations. Effects of different factors such as viscoelasticity, nonlocal parameter, length scale parameter, applied voltage and Winkler-Pasternak parameters on damping vibration characteristics of a nanoplate are studied.