The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: An overview

Kerschen, G; Golinval, J-C; Vakakis, AF; Bergman, LA

dc.contributor.author	Kerschen, G	en
dc.contributor.author	Golinval, J-C	en
dc.contributor.author	Vakakis, AF	en
dc.contributor.author	Bergman, LA	en
dc.date.accessioned	2014-03-01T11:44:41Z
dc.date.available	2014-03-01T11:44:41Z
dc.date.issued	2005	en
dc.identifier.issn	0924-090X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/37090
dc.subject	Dynamic characterization	en
dc.subject	Order reduction	en
dc.subject	Proper orthogonal decomposition	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Feature extraction	en
dc.subject.other	Linear systems	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Modal analysis	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Statistical methods	en
dc.subject.other	Covariance matrix	en
dc.subject.other	Dynamic characterization	en
dc.subject.other	Order reduction	en
dc.subject.other	Proper orthogonal decomposition (POD)	en
dc.subject.other	Structural analysis	en
dc.title	The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: An overview	en
heal.type	other	en
heal.identifier.primary	10.1007/s11071-005-2803-2	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11071-005-2803-2	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	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. © Springer 2005.	en
heal.publisher	SPRINGER	en
heal.journalName	Nonlinear Dynamics	en
dc.identifier.doi	10.1007/s11071-005-2803-2	en
dc.identifier.isi	ISI:000230267900007	en
dc.identifier.volume	41	en
dc.identifier.issue	1-3	en
dc.identifier.spage	147	en
dc.identifier.epage	169	en