Contributions to Proceedings:
A. Steindl:
"Study on dimension reduction methods for a fluid conveying tube";
in: "PAMM",
G. Brenn, G. A. Holzapfel, M. Schanz, O. Steinbach (ed.);
issued by: GAMM;
Wiley-VCH,
Weinheim,
2011,
2 pages.
English abstract:
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.
Keywords:
Invariant manifolds, viscous damping, proper orthogonal decomposition
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1002/pamm.201110160
Electronic version of the publication:
http://onlinelibrary.wiley.com/doi/10.1002/pamm.201110160/pdf
Created from the Publication Database of the Vienna University of Technology.