Vol. 139, No. 4, April 2012, pp. 175-181

Abstract:  The Rayleigh-Ritz method found its use in multiple branches of science and engineering. It is one of the successful variational methods for finding an approximated solution to a boundary value problem. In this paper we derive the integral functional for the Rayleigh-Ritz method for application to piezo-electric devices. A similar mathematical procedure results in a reciprocity relationship between two solutions of a piezo-electric device. The reciprocity relationship is applied to a sensitivity analysis of a piezo-electric device with perturbed boundary conditions. The connection between the theory of self-adjoint operators and the presented methods is discussed.

Keywords: Piezo-electric structures, Self-adjoint operators, Rayleigh-Ritz method

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