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Analysis and interpretation of compressible fluid interaction upon the vibration of a circular membrane

Gorman, Daniel and Horacek, Jaromir and Mulholland, Anthony and Gorman, Marie N. (2013) Analysis and interpretation of compressible fluid interaction upon the vibration of a circular membrane. Acta Technica, 58 (4). pp. 443-461. ISSN 0001-7043

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Abstract

The free vibration of a circular membrane in interaction with a fluid contained in a cylindrical boundary is analysed. The fluid is compressible and assumed inviscid. The resulting modal parameters are described by non-dimensionalised frequencies, mode shape coefficients and relative modal energy levels between that of the membrane and the fluid. A simplified “bar” model is introduced as a means of describing the characteristics of membrane/fluid strong interaction between axisymmetric modes of the membrane and axial modes of the fluid column only.