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Low‐Dimensional Approximations of Random Vibration Systems
Author(s) -
Wunderlich R.,
Vom Scheidt J.,
Starkloff H.J.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200108115101
Subject(s) - computation , reduction (mathematics) , vibration , dimension (graph theory) , scale (ratio) , random vibration , moment (physics) , approximations of π , mathematics , model order reduction , computer science , mathematical optimization , algorithm , physics , classical mechanics , acoustics , geometry , projection (relational algebra) , quantum mechanics , pure mathematics
The paper considers the computation of moment functions of the response of large‐scale randomly excited vibration systems. Since standard methods fail because of enormous computational problems dimension reduction techniques are applied. We find approximations of the desired response characteristics of the large‐scale system by solving a suitable reduced‐order system.