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Fluid‐Structural Coupling of Vibrating Bodies in a Surrounding Confined Liquid
Author(s) -
Seemann W.,
Wauer J.
Publication year - 1996
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19960760202
Subject(s) - compressibility , mechanics , cylinder , rigid body , viscous liquid , stiffness , eigenvalues and eigenvectors , coupling (piping) , classical mechanics , physics , ball (mathematics) , materials science , geometry , mathematics , thermodynamics , composite material , quantum mechanics
Abstract The dynamic characteristics of elastically supported rigid bodies in contact with a compressible viscous fluid are studied. In particular, the complex eigenvalues of the coupled system are determined. Reference cases are the corresponding elastically supported rigid body vibrating in vacuum and the compressible viscous fluid confined between rigid walls. The effects of the fluid‐body density ratio and the fluid‐foundation stiffness ratio as the governing coupling parameters are analyzed in detail. To obtain analytical results, a simple one‐dimensional piston problem and a more complicated two‐dimensional generalization in form of an elastically supported rigid cylinder in a cylindrically bounded fluid‐filled duct are considered.