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Free vibration of membrane/bounded incompressible fluid 被引量:1
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作者 s.tariverdilo J.MIRZAPOUR +1 位作者 M.SHAHMARDANI G.REZAZADEH 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第9期1167-1178,共12页
Vibration of a circular membrane in contact with a fluid has extensive applications in industry. The natural vibration frequencies for the asymmetric free vibra- tion of a circular membrane in contact with a bounded i... Vibration of a circular membrane in contact with a fluid has extensive applications in industry. The natural vibration frequencies for the asymmetric free vibra- tion of a circular membrane in contact with a bounded incompressible fluid are derived in this paper. Considering small oscillations induced by the membrane vibration in an incompressible and inviscid fluid, the velocity potential function is used to describe the fluid field. Two approaches are used to derive the free vibration frequencies of the sys- tem, which include a variational formulation and an approximate solution employing the Rayleigh quotient method. A good correlation is found between free vibration frequencies evaluated by these methods. Finally, the effects of the fluid depth, the mass density, and the radial tension on the free vibration frequencies of the coupled system are investigated. 展开更多
关键词 Rayleigh quotient asymmetric free vibration MEMBRANE variational formulation
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