Parametric Sensitivity Analysis of Coupled Acoustic-Structural Systems

Abstract

In this paper a method for the parametric sensitivity of acoustic-structural coupled systems is presented. The symmetrical Eulerian formulation is applied in order to calculate the coupled frequencies and modes. From a state space formulation of the problem a sensitivity algorithm is developed to obtain the derivatives of the coupled frequencies and modes of the system versus a design parameter vector. The algorithm is based on the properties of the complex conjugate eigenvalues obtained from the solution of the state space equation. Numerical examples from an acoustic rectangular cavity backed by a simply supported plate are presented. The comparison reveals a good agreement between numerical and analytical results. [S0739-3717(00)00802-3]