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Acoustic radiation from a finite rectangular vibrating panel having a finite number of finite-size holes is considered. The panel is placed in an infinite rigid baffle. The panel has only one or two circular holes with dimensions comparable to that of the panel and yet small enough to transmit plane waves. This is a challenge since traction free boundary conditions have to be specified within the panel area at the edges of the holes. The presence of the hole/holes modifies the resonances and modeshapes of the panel; these are computed accurately using the Energy method (that uses orthogonal polynomials). The panel surface velocity field is analytically obtained from the modeshapes previously derived. Further, using the continuity equation (and the Reynold’s transport theorem), the acoustic velocity in the hole/holes is obtained. Thus, the total velocity field at the panel surface is known. Next, the radiated pressure field is found using the Rayleigh Integral. The results are compared with those obtained numerically using a BEM software package.
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