Sensitivity Analysis Methods for Coupled Acoustic-Structural Systems Part I: Modal Sensitivities

Abstract

An analytical is proposed for calculating the sensitivities of the eigenvalues and eigenvectors of coupled acoustic-structural systems for the purpose of reducing vehicle interior noise. The concept of the left and right eigenvectors with regard to the eigenvalue problems of coupled systems is presented first, and four propositions concerning this concept are then proved. Based on these propositions, the formulations for the eigenvalue and eigenvector sensitivity analysis of coupled systems are obtained. It is shown that the new provides better convergence than the method and modified modal method (extensions of these methods to coupled systems), and it achieves better calculation efficiency than the extended Nelson's when more than one eigenvector is being considered. The theoretical results and computation equations are verified through application of the to a coupled acoustic-box structure and an actual vehicle interior noise problem.