Reduced iterative correction algorithm for coupled vibroacoustic problems

Umut Tabak, Daniel J. Rixen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

An iterative correction algorithm for coupled vibro-acoustic problems is presented in this paper. FE discretization of the governing equations of the problem results in unsymmetric matrices which require special attention when solved numerically. The main idea underlying the iterative correction algorithm proposed here is to start with the uncoupled system modes computed from symmetric system matrices of the corresponding physics. Using the uncoupled system modes, the algorithm tries to find good approximations of the coupled system eigen-pairs iteratively. The name of the algorithm comes from the fact that the corrections on one physical domain are computed iteratively by considering the effects of the other physical subdomain. In this way, the uncoupled starting modes are corrected to approximate the system response for the coupled problem. At each iteration, once corrections have been computed, the modes and eigenvalues are updated simultaneously through an interaction problem where a symmetrization procedure is used to obtain reduced symmetric matrices.

Original languageEnglish
Title of host publicationProceedings of ISMA 2010 - International Conference on Noise and Vibration Engineering, including USD 2010
EditorsP. Sas, B. Bergen
PublisherKatholieke Universiteit Leuven
Pages4685-4695
Number of pages11
ISBN (Electronic)9789073802872
StatePublished - 2010
Externally publishedYes
Event24th International Conference on Noise and Vibration Engineering, ISMA 2010, in conjunction with the 3rd International Conference on Uncertainty in Structural Dynamics, USD 2010 - Leuven, Belgium
Duration: 20 Sep 201022 Sep 2010

Publication series

NameProceedings of ISMA 2010 - International Conference on Noise and Vibration Engineering, including USD 2010

Conference

Conference24th International Conference on Noise and Vibration Engineering, ISMA 2010, in conjunction with the 3rd International Conference on Uncertainty in Structural Dynamics, USD 2010
Country/TerritoryBelgium
CityLeuven
Period20/09/1022/09/10

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