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RESEARCH PAPERS: Noise Control and Acoustics

Faster Calculations of Sound Radiation from Vibrating Cylinders Using Variational Formulations

[+] Author and Article Information
Xiao-Feng Wu

School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332

J. Vib., Acoust., Stress, and Reliab 111(1), 101-107 (Jan 01, 1989) (7 pages) doi:10.1115/1.3269803 History: Received January 30, 1988; Online November 23, 2009

Abstract

Prediction of the sound radiation from a vibrating body often requires a computation of the acoustic pressure on the body’s surface, given the normal surface vibration. This paper explores what computational advantages a variational formulation may have over other formulations, such as those which solve the Helmholtz integral equation directly. The variational formulation is developed here for bodies of revolution in axisymmetric vibration and specialized to finite cylinders. The general implementation technique of the variational formulation is the Rayleigh-Ritz method which yields a set of simultaneous linear equations for the unknown coefficients in the expansion of the surface pressure in terms of a finite set of basis functions. A case is made to the effect that computations based on the variational formulation can often yield results of desirable accuracy with substantially less computational time. A prerequisite for such an achievement is that one makes a good selection of the basis functions. Such a selection may be aided by physical insight and common sense.

Copyright © 1989 by ASME
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