Coupled analysis of two-dimensional acoustic and membrane vibration by concentrated mass model

Satoshi Ishikawa, Shinya Kijimoto, Ryoma Owaki, Ataru Matsuo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

In the finite element method of a structural-acoustic coupled analysis, the mass matrix and the stiffness matrix are not symmetrical. Therefore, the modal analysis cannot be applied directly to the coupled problem. In our previous study, a concentrated mass model was proposed to analyze a two-dimensional acoustic analysis. The model consists of the masses, the connecting springs. It is very easy to couple the structure and acoustic field by the concentrate mass model. Furthermore, the mass matrix and the stiffness matrix are symmetrical. In this paper, we propose a concentrated mass model to perform a coupled analysis of a two-dimensional acoustic and a membrane vibration. And we propose a coupling method to arrange of the masses of the air near the membrane. To confirm the validity of the proposed model, the natural frequency obtained by the concentrated mass model is compared with the natural frequency by the modal coupling method. These results are in good agreement. Therefore, it is concluded that the proposed model is valid for the coupled analysis of an acoustic and a vibration analysis.

Original languageEnglish
Title of host publicationINTERNOISE 2014 - 43rd International Congress on Noise Control Engineering
Subtitle of host publicationImproving the World Through Noise Control
EditorsJohn Davy, Marion Burgess, Charles Don, Liz Dowsett, Terry McMinn, Norm Broner
PublisherAustralian Acoustical Society
ISBN (Electronic)9780909882037
Publication statusPublished - Jan 1 2014
Event43rd International Congress on Noise Control Engineering: Improving the World Through Noise Control, INTERNOISE 2014 - Melbourne, Australia
Duration: Nov 16 2014Nov 19 2014

Publication series

NameINTERNOISE 2014 - 43rd International Congress on Noise Control Engineering: Improving the World Through Noise Control

Other

Other43rd International Congress on Noise Control Engineering: Improving the World Through Noise Control, INTERNOISE 2014
CountryAustralia
CityMelbourne
Period11/16/1411/19/14

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics

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