Abstract

A general time domain method is presented to evaluate the transient velocity field of fluid-loaded cylinders of finite length which are excited by axisymmetric, broadband excitations acting in the radial direction. A mechanical pressure which is independent of the acoustic field is used to excite the cylinder. The method is based on the use of time-dependent in vacuo modal expansions of the velocity of the cylinder and the mechanical pressure. As a result of fluid coupling, the time-dependent velocity coefficients are described by a set of coupled, linear, convolution integral equations which can be solved by marching forward in time. Typical numerical results showing the impulse responses of the fluid-loaded modal admittances of the cylinder, the time-dependent coupling coefficients, and the velocity of the cylinder are presented for the case of a cylinder which is simply supported at both ends.

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