音響・構造連成系の非定常応答解析手法に関する研究

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  • Analysis Method of the Nonstationary Response of Acoustical-Structural Coupling Systems.
  • オンキョウ コウゾウレンセイケイ ノ ヒテイジョウ オウトウ カイセキ シュホウ ニ カンスル ケンキュウ

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This paper presents the numerical analysis method of the nonstationary response of acoustical-structural coupling systems. The acoustical analysis is formulated by the Boundary Element Method based on the hyper-singular boundary integral equation in order to deal with very thin elastic structures in the open space. The structural analysis is formulated by the Finite Element Method using the triangular thin plate element. Those fundamental equations are coupled by using the force equilibrium and the flux continuity conditions in the Laplace transformed domain, and the time history of nonstationary responses are obtained by the numerical inverse Laplace transform. The validity of the proposed method is examined in comparison with an analytical result and besides by conducting the experiments of nonstationary excitation of thin plates installed in the rectangular acoustic tube which is excited by a sinusoidal sound pressure from the planewave-driving type speaker. Finally, a few numerical calculation examples are shown. Those analyses treat the flexible I-shaped and L-shaped acoustic tubes which are excited by the sinusoidal pressure generated at the one end of acoustic tubes, and air medium displacements and sound pressures traveling in the tube and transmitted to the out of tubes are visually shown.

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