Development of coupled structural-acoustic eigen-pair expression from decoupled eigen-pair (1st Report, Induction by finite perturbation series)

Li Deng, Takashi Kako, Ichiro Hagiwara

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The structural-acoustic coupling vibration problem is very important for the quality control of vehicles and there have already been many studies on this subject. However, as far as we know, no-one has yet considered the physical meaning of the coupling strength. In this paper, we adopt the operator theoretical matrix formulation of the problem and to clarify the meaning of the coupling strength, we introduce a coupling strength parameter ε as a multiplier in front of the non-diagonal coupling terms. We show its adequacy through numerical examples. We use a perturbation series with respect to ε which enables us to express the eigen-pairs for the coupled case by those for the decoupled case. The results of this paper suggest that it would not be necessary to perform time consuming coupling eigenvalue analysis, and hence have a great engineering importance.

Original languageEnglish
Pages (from-to)3446-3453
Number of pages8
JournalNippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume63
Issue number614
DOIs
Publication statusPublished - 1 Jan 1997

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