Abstract
AbstractThe 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)
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