Acoustic radiation simulation of forced vibrating plates using isogeometric analysis

Abstract

The analysis of the vibratory behavior of plates and their acoustic responses is very important in many sectors of industry. The excitation can be localized, as encountered in impact problems, or moving, as generated by a passing vehicle. Even though the dynamics of these problems have been widely studied via the finite element method, most research on the elastoacoustic response has been performed either experimentally or analytically. In addition, researchers have focused on the radiation of impacted plates at their centers and have been particularly interested in the initial transient wave. In this paper, the acoustic field radiated in air by a circular plate embedded in a rigid baffle, whether due to an impact or a moving force, is studied using isogeometric analysis, which has never been applied before to this kind of problem. For this purpose, both Reissner–Mindlin theory and the Rayleigh integral equation are discretized using the Bézier extraction method. Particular attention has been given to analysis of the near field radiation of a plate subjected to a moving force.