Abstract

A general substructuring synthesis method is proposed for analyzing structural-acoustic interaction problems in engineering applications. The approach is performed by systematically partitioning the entire system into a series of distinct components according to geometries and boundaries. The motion of substructures and fluid subdomains is then discretized and represented by the classical Rayleigh-Ritz method, while the perturbed Lagrangian method is employed to connect the disjoint substructures and subdomains by imposing approximate compatibility conditions. The established framework enables one to easily model the interior acoustics of combined fluid structural systems with geometric complexities and to effectively analyze vibro-acoustic behaviors with sufficient accuracy at relatively high frequencies. Several numerical examples are carried out to demonstrate the reliability and applicability of the present method, which illustrate a significant computational advantage as compared to classical Finite Element procedures.

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