Modal analysis of a shell's acoustic radiation in light and heavy fluids

The Sound Radiation Efficiency of Finite Length Acoustically Thick Circular Cylindrical Shells Under Mechanical Excitation I: Theoretical Analysis

“…For example, Bordoni and Gross [5] calculated the sound power radiated from a rigid cylinder with one oscillating end surface; Williams [6] employed an approximate series method to analyze the radiation of "nite length cylinders with a uniform radial vibration velocity pro"le; Daw and Perreira [7] studied the axial oscillations of "nite length cylinders; Richards [8] concentrated on the radiation e$ciency of in"nite beam-like cylinders in #exural vibration; Stepanishen [9] and Zhu [10] discussed the radiation impedance and &&relative sound intensities'' of di!erent vibration modes of an in"nite cylinder with "nite length vibration distribution respectively. Furthermore, by taking into account the reaction of the #uid inside a cylindrical shell, Stepanishen [11] studied the coupling between the acoustic modes and the structural vibration modes; Holmer and Heymann [12] investigated the sound transmission through pipe walls; and Laulagnet and Guyader [13] analyzed the acoustic radiation of a cylindrical shell immersed in light and heavy #uids. Nevertheless, the acoustic radiation of "nite length acoustically thick circular cylindrical shells under mechanical excitation is not clearly understood, even when the ambient medium is light.…”

The Sound Radiation Efficiency of Finite Length Circular Cylindrical Shells Under Mechanical Excitation Ii: Limitations of the Infinite Length Model

“…Based on this model, Stepanishen [4] discussed the radiation impedance of di!erent vibration modes of a "nite length cylindrical shell, and Zhu [5] examined the &&relative sound intensities'' for di!erent vibration modes. Also, Stepanishen [6] and Laulagnet et al [7] investigated the e!ects of #uid on the acoustic radiation of "nite length cylindrical shells. However, since most of the studies chose simply supported ends to facilitate their analyses [4}8], the e!ects of boundary conditions on the acoustic radiation are still not very clear.…”

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.…”