Thermo-electro-mechanical vibration analysis of piezoelectric nanoplates resting on viscoelastic foundation with various boundary conditions

113 A rectangular piezoelectric nanoplate of length la, width lb and uniform thickness h rests on a viscoelastic foundation. The viscoelastic foundation is characterized by a visco-Pasternak foundation model, whose Winkler's modulus parameter is kw, Pasternak's (shear) modulus parameter is kG, and damping parameter is ct. The piezoelectric nanoplate is modeled as a nonlocal Kirchhoff plate subjected to a biaxial force P0, a uniform temperature change ∆T and an applied voltage Φ(x, y, z, t). In addition, the rectangular coordinate system oxyz is defined, in which the x-, y- and z-axes are taken along the length, width and thickness directions of the nanoplate, respectively.