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On stability and self‐excited vibrations in fluid‐structure‐interaction
Author(s) -
Bach Karolina,
Hetzler Hartmut,
Seemann Wolfgang
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110146
Subject(s) - inviscid flow , mechanics , flutter , vibration , compressibility , conservative vector field , physics , oscillation (cell signaling) , planar , fluid–structure interaction , classical mechanics , fluid dynamics , computer science , aerodynamics , thermodynamics , computer graphics (images) , finite element method , biology , genetics , quantum mechanics
In flexible channels conveying fluid the steady state may loose stability by divergence or flutter. The aim of this contribution is to investigate the basic excitation mechanisms of flow‐induced vibrations and to evaluate the influence of various parameters on the stability behaviour of the coupled problem. Therefore, a simple, yet general model is proposed. The fluid is assumed to be inviscid and irrotational and both incompressible and compressible flow is considered. It is guided by a planar, rectangular channel with a rigid wall and a thin, flexible wall. The latter is modelled as a one‐parametric continuum on an elastic foundation, which exhibits bending and extensional stiffness. By examining the energy balance over one oscillation circle it is possible to reveal the mechanisms of energy transfer between the coupled components of the system. Based on this analysis a physical explanation of the arising instabilities is possible. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)