Sound radiation by finite cylindrical ring stiffened shells

A variational solution of 2-D sound-structure interaction problems

“…in which H (2) n (kr) is the Hankel function of the second kind of n-th order. It is easy to check that expression (8) satisfies Eq.…”

“…However, the analytical method is suitable only for elastic structures with simple geometrical shapes, such as spherical shells, infinite cylindrical shells and so on [1][2][3]. Although numerical methods (including the finite element (FE) method, the boundary element (BE) method and the FE-BE mixed method) [4][5][6][7][8] have a wider applications in solving complex structure-sound coupling problems, however, too much computer time will be consumed and the structureacoustic analysis in the medium and high frequency range cannot be successfully performed due to the discretized elements and the approximate shape functions.…”

“…Such interesting problems, which are closely related to the coupling dynamics between the structure and ambient fluid, have been the subject of a large number of recent investigations. Many researchers have focused their efforts on solving the problem by means of analytical, experimental and numerical methods or their combination [1][2][3][4][5][6][7][8].…”

Evaluation of radiation loading on finite cylindrical shells using the fast Fourier transform: A comparison with direct numerical integration

“…The work mentioned above provided an important basis for the subsequent studies of fluid-shell interaction analysis [8][9][10][11][12][13][14][15][16] because the modal acoustic impedance can be directly utilized in the assembly of infinite series of fluid-structure coupled equations which govern the vibration of fluid-loaded cylindrical shells. However, it will take a lot of time to compute the impedance using the DNI method when the truncated axial and circumferential modes are large.…”

“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] Research on the evaluation of radiation from cylindrical radiators has a rich history dating back to Junger, 1,2 who dealt with the radiation loading on infinite cylindrical surfaces. In most situations, the radiation loading has a negligible effect on the vibration of a cylindrical shell in the air (light fluid) and the dynamic response of the structure can be solved as if it was vibrating in vacuo.…”