Finite Membranes and Plates Vibrating in a Dense Fluid: An Analysis of the Fully Coupled Problem

摘要

The analysis of the transmission of sound through a clamped circular plate set in an infinite rigid wall, exposed on both sides to a dense acoustic medium and excited by an obliquely incident plane wave is undertaken. The analysis is accomplished by an approximate variational solution to the coupled integral equations describing the problem. Expressions are obtained for the transmitted far field intensity and power and the displacement response. Results are also included for a practical example of a steel plate submerged in water. In addition, an experimental analysis of the complementary problem of transmission of sound through a circular membrane set in an infinite rigid wall has been accomplished and the results of this analysis are compared with the corresponding variational solution for a membrane. (Author)