Review and assessment of interpolatory model order reduction methods for frequency response structural dynamics and acoustics problems |
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Authors: | U Hetmaniuk R Tezaur C Farhat |
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Affiliation: | 1. Department of Applied Mathematics, University of Washington, , Seattle, WA, 98195‐2420 USA;2. Department of Aeronautics and Astronautics, Stanford University, , Stanford, CA, 94305 USA;3. Department of Mechanical Engineering, Stanford University, , Stanford, CA, 94305 USA;4. Institute for Computational and Mathematical Engineering, Stanford University, , Stanford, CA, 94305 USA |
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Abstract: | Frequency sweeps in structural dynamics, acoustics, and vibro‐acoustics require evaluating frequency response functions for a large number of frequencies. The brute force approach for performing these sweeps leads to the solution of a large number of large‐scale systems of equations. Several methods have been developed for alleviating this computational burden by approximating the frequency response functions. Among these, interpolatory model order reduction methods are perhaps the most successful. This paper reviews this family of approximation methods with particular attention to their applicability to specific classes of frequency response problems and their performance. It also includes novel aspects pertaining to the iterative solution of large‐scale systems of equations in the context of model order reduction and frequency sweeps. All reviewed computational methods are illustrated with realistic, large‐scale structural dynamic, acoustic, and vibro‐acoustic analyses in wide frequency bands. These highlight both the potential of these methods for reducing CPU time and their limitations. Copyright © 2012 John Wiley & Sons, Ltd. |
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Keywords: | acoustic finite element tearing and interconnecting (FETI) FETI‐DPH frequency sweep interpolation model order reduction review structural acoustics structural dynamics vibro‐acoustics |
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