Vibro-acoustic behavior of double-walled cylindrical shells with general boundary conditions

Abstract

Vibro-acoustic behaviour of submerged double-walled cylindrical shells with general boundary conditions is analyzed by a precise transfer matrix method (PTMM), which is proposed by combining traditional transfer matrix method with precise integration method. Field transfer matrixes of both inner shell and outer shell are obtained accurately by PTMM respectively. The annular plates are simulated by two methods and exist in the form of point transfer matrixes. The dynamic models of double-walled cylindrical shells are established by assembling whole transfer matrixes. Based on the Helmholtz equation, the interlayer and external fluid loads are described to solve the Neumann boundary. The vibro-acoustic response of the double-walled cylindrical shell can be obtained by determining sound pressure coefficients. The free vibration and sound radiation of analytical models are comparing with numerical results and experimental results to verify the present method. The effects of the general boundary constraint stiffnesses on the free vibration and sound radiation of double-walled cylindrical shells are also discussed.