Three-Dimensional Solutions for Free Vibrations of Initially-Stressed Thermoelectroelastic Multilayered Plates

Analytic three-dimensional solutions are presented for the free vibration frequencies of initially stressed hybrid multilayered composite plates. The plates consist of a combination of fiber-reinforced cross-ply and piezothermoelastic layers. The initial stresses are generated by either a temperature change and/or an electric field. Sensitivity coefficients are also evaluated and used to study the sensitivity of the vibrational response to variations in the different mechanical, thermal and piezoelectric material properties of the plate. Both the temperature change and the electric field are assumed to be independent of the surface coordinates, but have arbitrary variation through the thickness of the plate. A linear constitutive model is used, and the material properties are assumed to be independent of both the temperature and the electric field. The thermoelectroelastic response of the plate is subjected to time-varying displacements, strains and stresses.

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