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Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

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Vibration analysis of a thin circular plate influenced by liquid/gas interaction in a cylindrical cavity

Gorman, D. and Lee, C.K. and Reese, J.M. and Horáček, J. (2005) Vibration analysis of a thin circular plate influenced by liquid/gas interaction in a cylindrical cavity. Journal of Sound and Vibration, 279 (3-5). pp. 601-618. ISSN 0022-460X

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Abstract

This paper describes the free vibration analysis of a cylindrical gas cavity axially bounded at one end by a liquid interface and a thin elastic disc at the other end. Natural frequencies of the complete liquid/gas/structural coupled system are calculated and compared with values obtained when simplifying assumptions are made with respect to the boundaries between the liquid, gas and structure. The analysis includes examination of the interaction between liquid and gas when the disc is assumed rigid. In selected cases the natural frequencies are compared with corresponding values obtained experimentally and from a commercial finite element code.