Thermo-electro-mechanical vibration analysis for piezoelectric plates under two-parameter elastic foundation with general boundary conditions  

The thermo-electro-mechanical vibration analysis vibration characteristics of Kirchhoff and Mindlin piezoelectric nanoplate under the two-parameter elastic foundation with general boundary conditions are investigated in this article. Combine with nonlocal elastic theory, the governing equations of the analytical model which consider the external variable influence are proposed by Hamilton principle. In the benchmark case, wave based method is presented to study the vibration characteristics of the piezoelectric nanoplate with general boundary conditions. Furthermore, a series of detailed numerical examples are proposed to investigate the influence of the nonlocal parameter, external electric voltage, temperature change, biaxial force, Winkler’s modulus parameter, and Pasternak’s modulus parameter on the vibration characteristics of piezoelectric nanoplate restrained on two-parameter elastic foundation with general boundary conditions. As a result, the calculation accuracy is verified and some conclusion is obtained. This paper aims to develop a numerical analytical range of the vibration analysis of the nanoplate structure and provide the theoretical data for the design of the nano-electromechanical system.