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Study on dimension reduction methods for a fluid conveying tube
Author(s) -
Steindl Alois
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110160
Subject(s) - linear subspace , eigenvalues and eigenvectors , dimensionality reduction , mathematics , reduction (mathematics) , dimension (graph theory) , invariant (physics) , point (geometry) , cluster (spacecraft) , mathematical analysis , physics , pure mathematics , computer science , geometry , mathematical physics , quantum mechanics , artificial intelligence , programming language
The Application of Dimension Reduction by Approximate Inertial Manifolds to the dynamics of a fluid conveying tube doesn't perform as expected due to the presence of viscous damping terms, which lead to a cluster point of stable eigenvalues. We investigate methods to circumvent the problems introduced by this cluster point: For the spectral decomposition part of the invariant subspaces are computed using the Schur factorisation. Also a different choice of basis functions for the dominating modes avoids the difficulties. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)