AN ANALYTICAL SOLUTION FOR THE SELF- AND MUTUAL RADIATION RESISTANCES OF A RECTANGULAR PLATE

✍ Scribed by W.L. LI

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 360 KB
• Volume: 245
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2000.3552

✦ Synopsis

It is widely accepted that, for an arbitrary acoustic wavenumber, the radiation resistance of a simply supported rectangular plate has to be calculated through numerical integration. In this study, an analytical solution for the self-and mutual radiation resistances is obtained in the form of the power series of the non-dimensional acoustic wavenumber. Unlike the previous analytical or asymptotic solutions, it is not subject to any of the restrictions usually imposed upon the acoustic wavenumber. A few numerical examples are given simply to verify the solution and elucidate the reliance of the self-and mutual radiation resistances on the acoustic wavenumber and the plate aspect ratio. It is shown that the present formulae are extremely e$cient by cutting the CPU time by orders of magnitude in comparison with the traditional numerical integration scheme. This investigation successfully "lls the long-existing gap in solutions for the moderate wavenumbers that are often of primary concern in an acoustic analysis.

2001 Academic Press