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Keywords: eigenpairs, rectangular cavity, coupling, evanescent modes, standing wave modes, modal orthogonality..

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This paper deals with the eigenpairs and its fundamental properties of a strongly coupled rectangular cavity comprising five rigid walls and one flexible panel frequently employed in the literature. The basic characteristics of the eigenpairs of a strongly coupled cavity are deciphered with a particular emphasis on an evanescent cavity mode generated as a result of strong coupling between an acoustic field and a structural field. The properties of the orthogonality of strongly coupled cavity modes are then discussed, the strongly coupled modal orthogonality conditions in terms of mass and compliance being derived. It is shown that the coupling modal orthogonality conditions signify that the eigenfunctions of a coupled cavity are no longer orthogonal to each other in the sole sound field or in the sole vibration field, but are orthogonal in a manner that a set of eigenfunctions after coupling are orthogonal with another set of eigenfunctions. Moreover, it is demonstrated that the modal orthogonal conditions may be a cornerstone the eigenpairs of the coupled cavity need satisfying, thereby verifying the validity of the eigenpairs newly found or already existent.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 28 Modal Orthogonality of a Strongly Coupled Rectangular Cavity N. Tanaka¹ and H. Iwamoto² ¹Department of Aerospace Engineering, Tokyo Metropolitan University, Japan ²Department of Systems Design, Seikei University, Tokyo, Japan doi:10.4203/ccp.106.28 purchase the full-text of this paper Full Bibliographic Reference for this paper N. Tanaka, H. Iwamoto, "Modal Orthogonality of a Strongly Coupled Rectangular Cavity", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 28, 2014. doi:10.4203/ccp.106.28 Keywords: eigenpairs, rectangular cavity, coupling, evanescent modes, standing wave modes, modal orthogonality.. Summary This paper deals with the eigenpairs and its fundamental properties of a strongly coupled rectangular cavity comprising five rigid walls and one flexible panel frequently employed in the literature. The basic characteristics of the eigenpairs of a strongly coupled cavity are deciphered with a particular emphasis on an evanescent cavity mode generated as a result of strong coupling between an acoustic field and a structural field. The properties of the orthogonality of strongly coupled cavity modes are then discussed, the strongly coupled modal orthogonality conditions in terms of mass and compliance being derived. It is shown that the coupling modal orthogonality conditions signify that the eigenfunctions of a coupled cavity are no longer orthogonal to each other in the sole sound field or in the sole vibration field, but are orthogonal in a manner that a set of eigenfunctions after coupling are orthogonal with another set of eigenfunctions. Moreover, it is demonstrated that the modal orthogonal conditions may be a cornerstone the eigenpairs of the coupled cavity need satisfying, thereby verifying the validity of the eigenpairs newly found or already existent. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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