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Analysis of Small Vibrations of Coupled Fluid‐Structure Systems
Author(s) -
Wandinger J.
Publication year - 1994
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.19940740111
Subject(s) - eigenvalues and eigenvectors , subspace topology , completeness (order theory) , vibration , simple (philosophy) , mathematics , constant (computer programming) , eigenvalue perturbation , fluid–structure interaction , mathematical analysis , computer science , physics , finite element method , philosophy , epistemology , quantum mechanics , thermodynamics , programming language
The article deals with the non‐selfadjoint eigenvalue problem arising in the analysis of linear vibrations of coupled fluid‐structure systems when the fluid is described by its pressure filed. First the completeness of the eigenvectors is verified. Then a simple relationship between the eigenvectors of the original problem and those of the adjoint problem is derived. To solve the eigenvalue problem a subspace iteration procedure is presented. The results are also extended to systems with rigid body motions and constant pressure fields.