The complete solution is derived for an acoustic plane wave incident on a membrane which is stretched over a line constraint, forming a wedge shaped fluid region of interior angle 2$. The exact two-dimensional solution is developed using Malyuzhinets functions and integral transforms. Explicit formulae are presented for the acoustic and structural diffraction coefficients for $ > ?r/2 and numerical results are given for the frequency and angular dependence of the membrane wave excitation coefficients for identical membranes on either side of the vertex.
|Original language||English (US)|
|Number of pages||22|
|Journal||Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences|
|State||Published - 1997|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)