Acoustic radiation characteristics of FG cylindrical shell based on Jacobi-Ritz modified boundary element method

Abstract

In this paper, a semi-analytic method based on Jacobi-Ritz modified boundary element is proposed to solve the acoustic radiation response of functionally graded cylindrical shell. Utilizing the first-order shear deformation theory and the differential element method, functionally graded cylindrical shell acoustic radiation calculation model is established. The Jacobi polynomial is adopted to represent the displacement tolerance function, and the Ritz method is used to calculate the vibration response. The spectral principle is applied to discretize the boundary integral equations with Jacobi polynomial. The acoustic and vibration coupling equations of functionally graded cylindrical shells are obtained simultaneously, and the acoustic radiation response of functionally graded cylindrical shells is solved. The results obtained using this method are compared with those from the finite element method/boundary element method, validating the effectiveness of our computational approach. The influence of structural parameters, functionally graded materials, and boundary conditions on structural acoustic radiation is explored, providing support for the design of the functionally graded cylindrical shell.