Adiabatic Dynamic Interaction of an Elastic Plate with the Acoustical Liquid of a Rectangular Cavity

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概要

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• In this study, we consider the dynamic characteristics of a rectangular parallele-piped panel / tank having infinitely rigid side walls and bottom plate, but a thin elastic plate as a cover. All 6 plates of the parallelepiped panel / tank constitute a box-like cavity. The bottom and the cover have dimensions of L_1 by L_2. The dimension L_3 represents the depth of the panel cavity, which is filled with inviscid acoustical or compressible liquid. The elastic cover plate and the liquid in the cavity constitute a hydroelastic structural system(HES)that vibrates under external perturbations. The adiabatic(isoentropic)dynamic interaction between the elastic plate and the acoustical liquid of the cavity under outside perturbation has already been considered, but some details regarding the correct treatment of the problem were omitted. In the present investigation a general solution is formulated and implemented. As a result, corrections of the dispersion curves for the first four natural frequencies of the HES are obtained for a large variation of the generalized parameter of the acoustical stiffness of the system, and these corrections are evaluated quantitatively. It is observed that for high acoustical stiffnesses, the dispersion curves possess asymptotes. A multitude of diagrams of the first four modes for a large variety of parameters are computed and some of them are shown. The general idea used in the work of Pretlove and Craggs(1970)was evaluated as the correct one.

• 一般社団法人日本機械学会の論文
• 1998-02-15

著者

• Hara Fumio

  Dept.of Mechanical Engineering Science University Of Tokyo

• Hara Fumio

  Dept. Of Intern. Med. Nippon Med. Coll. Tokyo

• DZHUPANOV V.A.

  Dept.of Mechanics of Continuous Media, Institute of Mechanics, Bulgarian Academy of Sciences

• GAVRILOVA E.C.

  Dept.of Mathematics, University of Mining and Geology

• Gavrilova E.c.

  Dept.of Mathematics University Of Mining And Geology

• Gavrilova E.G.

  Dept.of Mathematics, University of Mining and Geology

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