Eigen-analysis using optimization with Rayleigh's quotient

Papadopoulos, M; Papadopoulos, L; Garcia, E

dc.contributor.author	Papadopoulos, M	en
dc.contributor.author	Papadopoulos, L	en
dc.contributor.author	Garcia, E	en
dc.date.accessioned	2014-03-01T01:45:35Z
dc.date.available	2014-03-01T01:45:35Z
dc.date.issued	1997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24636
dc.subject	Degree of Freedom	en
dc.subject	Finite Element	en
dc.subject	Finite Element Model	en
dc.subject	Genetic Algorithm	en
dc.subject	Heuristic Search	en
dc.subject	Natural Frequency	en
dc.subject	Objective Function	en
dc.subject	Point Estimation	en
dc.subject	Unconstrained Optimization	en
dc.title	Eigen-analysis using optimization with Rayleigh's quotient	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7949(97)80862-0	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7949(97)80862-0	en
heal.publicationDate	1997	en
heal.abstract	An eigen-analysis is usually required if it is desired to obtain the natural frequencies and mode shapes (i.e. eigen-parameters) from a finite element mass and stiffness matrix. In certain instances, however, only the lowest and/or largest natural frequencies are of interest. It is shown that determining the lowest and largest eigen-parameters can be formulated as an unconstrained optimization with Rayleigh's	en
heal.journalName	Computers & Structures	en
dc.identifier.doi	10.1016/S0045-7949(97)80862-0	en