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Optimal modal reduction of vibrating substructures

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Publication Date
2003-05-21
ICR Author
Barbone, Paul
Author
Barbone, PE
Givoli, D
Patlashenko, I
Type
Journal Article
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Abstract
A structure which consists of a main part and a number of attached substructures is considered. A ‘model reduction’ scheme is developed and applied to each of the discrete substructures. Linear undamped transient vibrational motion of the structure is assumed, with general external forcing and initial conditions. The goal is to replace each discrete substructure by another substructure with a much smaller number of degrees of freedom, while minimizing the effect this reduction has on the dynamic behaviour of the main structure. The approach taken here involves Ritz reduction and the Dirichlet-to-Neumann map as analysis tools. The resulting scheme is based on a special form of modal reduction, and is shown to be optimal in a certain sense, for long simulation times. The performance of the scheme is demonstrated via numerical examples, and is compared to that of standard modal reduction. Copyright (C) 2003 John Wiley Sons, Ltd.
URL
https://repository.icr.ac.uk/handle/internal/2209
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Version of record
10.1002/nme.680
Language
English
License start date
2003-05-21
Citation
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 57 pp. 341 - 369
Publisher
JOHN WILEY & SONS LTD

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