Obtaining the natural frequencies of a rectangular mindlin plate with piezoelectric patches by using a semi analytical method

in this paper natural frequencies of a rectangular mindlin plate with surface bounded piezoelectric patches is obtained. Simply supported boundary condition is imposed at the plate edges. Ritz approach based on the principle of minimum potential energy is applied to obtain the frequency parameters of rectangular plate. Since displacement fields of the plate are postulated by trigonometric series function, solution is a semi analytical one. For verifying the accuracy of this method, results are for the isothropic and piezoelectric plates are compared with those reported in the literature. As we see a good conformance is derived from the obtained results and the exact solution. At the end, natural frequencies of a rectangular mindlin with surface bounded piezoelectric patches is obtained.