A method for the automatic evaluation of the dynamic relaxation parameters

Papadrakakis, M

dc.contributor.author	Papadrakakis, M	en
dc.date.accessioned	2014-03-01T01:05:53Z
dc.date.available	2014-03-01T01:05:53Z
dc.date.issued	1981	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9049
dc.subject	Automatic Evaluation	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	VIBRATIONS	en
dc.title	A method for the automatic evaluation of the dynamic relaxation parameters	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0045-7825(81)90066-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0045-7825(81)90066-9	en
heal.language	English	en
heal.publicationDate	1981	en
heal.abstract	Dynamic relaxation, a vector iteration method which belongs to the family of methods under the title of three-term recursive formulae, is described with viscous and kinetic damping. An automatic procedure is developed for the evaluation of the iteration parameters, thus avoiding any trial run or any eigenvalue analysis of the modified stiffness matrix. Starting values for the maximum eigenvalue could be obtained from the Gershgorin bound, and for the minimum eigenvalue any positive number less than the estimated maximum eigenvalue. The method is applied to geometrically and material nonlinear problems, and comparisons are made with an improved conjugate gradient method and a direct stiffness method. © 1981.	en
heal.publisher	ELSEVIER SCIENCE SA LAUSANNE	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/0045-7825(81)90066-9	en
dc.identifier.isi	ISI:A1981LC67200004	en
dc.identifier.volume	25	en
dc.identifier.issue	1	en
dc.identifier.spage	35	en
dc.identifier.epage	48	en