ACOUSTIC RESPONSE OF A NON-CIRCULAR CYLINDRICAL ENCLOSURE USING CONFORMAL MAPPING

This paper presents a study of the free and forced interior acoustic response of a finite uniform cylindrical shell. The cross-section of the shell is a square with rounded corners. Conformal mapping is used to map the physical domain onto a circular cylindrical domain. The acoustic response is obtained in the circular domain by using the Rayleigh–Ritz method in conjunction with a variational principle. Numerical simulation results are presented showing the mode shapes and the forced pressure distribution at various frequencies.