<div class="csl-bib-body">
<div class="csl-entry">Steindl, A. (2011). Study on dimension reduction methods for a fluid conveying tube. <i>Proceedings in Applied Mathematics and Mechanics</i>, <i>11</i>(1), 337–338. https://doi.org/10.1002/pamm.201110160</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/66441
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dc.description.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.
en
dc.language.iso
en
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dc.publisher
Wiley
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dc.relation.ispartof
Proceedings in Applied Mathematics and Mechanics
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dc.subject
Invariant manifolds
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dc.subject
viscous damping
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dc.subject
proper orthogonal decomposition
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dc.title
Study on dimension reduction methods for a fluid conveying tube