High-order perturbation expansion for the spectral analysis of fluid-loaded vibrating structure

Pierre-Olivier Mattei (1)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

This paper deals with vibroacoustic under heavy fluid-loading conditions. The aim is to show how the high-order perturbation expansion approach described yields a very simple approximation of the spectrum of a heavy fluid-loaded structure. When the fluid-loading is "light" (e.g. metallic structures in contact with air) perturbation methods have been classically used to compute the spectrum of a fluid-loaded structure. Because of the computational efficiency of the expansions involved, it is now necessary to extend this method to heavy loading problems, such as those involving a metallic structure in contact with water. As we will see, although direct high order expansion methods yields unrealistic results, a judicious re-ordering of the various terms leads to surprisingly simple and efficient analytical results. Numerical examples are given in the simple case of a clamped rectangular plate under various fluid-loading conditions.

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Pierre-Olivier Mattei. High-order perturbation expansion for the spectral analysis of fluid-loaded vibrating structure. Acta Acustica united with Acustica, 2007, 93 (2), pp.305-313. ⟨hal-00199554⟩