TY - JOUR
T1 - The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems
T2 - An overview
AU - Kerschen, Gaetan
AU - Golinval, Jean Claude
AU - Vakakis, Alexander F.
AU - Bergman, Lawrence A.
N1 - Funding Information:
The first author, G. Kerschen, is supported by grants from the Belgian National Fund for Scientific Research (FNRS) and the Rotary District 1630, which are gratefully acknowledged.
Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2005/8
Y1 - 2005/8
N2 - Modal analysis is used extensively for understanding the dynamic behavior of structures. However, a major concern for structural dynamicists is that its validity is limited to linear structures. New developments have been proposed in order to examine nonlinear systems, among which the theory based on nonlinear normal modes is indubitably the most appealing. In this paper, a different approach is adopted, and proper orthogonal decomposition is considered. The modes extracted from the decomposition may serve two purposes, namely order reduction by projecting high-dimensional data into a lower-dimensional space and feature extraction by revealing relevant but unexpected structure hidden in the data. The utility of the method for dynamic characterization and order reduction of linear and nonlinear mechanical systems is demonstrated in this study.
AB - Modal analysis is used extensively for understanding the dynamic behavior of structures. However, a major concern for structural dynamicists is that its validity is limited to linear structures. New developments have been proposed in order to examine nonlinear systems, among which the theory based on nonlinear normal modes is indubitably the most appealing. In this paper, a different approach is adopted, and proper orthogonal decomposition is considered. The modes extracted from the decomposition may serve two purposes, namely order reduction by projecting high-dimensional data into a lower-dimensional space and feature extraction by revealing relevant but unexpected structure hidden in the data. The utility of the method for dynamic characterization and order reduction of linear and nonlinear mechanical systems is demonstrated in this study.
KW - Dynamic characterization
KW - Order reduction
KW - Proper orthogonal decomposition
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U2 - 10.1007/s11071-005-2803-2
DO - 10.1007/s11071-005-2803-2
M3 - Review article
AN - SCOPUS:19944392685
SN - 0924-090X
VL - 41
SP - 147
EP - 169
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
IS - 1-3
ER -