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Article: Analytical formulation of dynamic stiffness

TitleAnalytical formulation of dynamic stiffness
Authors
KeywordsBeams and girders
Computer aided analysis
Differential equations
Dynamic response
Matrix algebra
Issue Date1994
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal of Sound and Vibration, 1994, v. 177 n. 4, p. 555-564 How to Cite?
AbstractThe dynamic stiffness matrix method enables one to model an infinite number of natural modes by means of a small number of unknowns. The method has been extended to skeletal structures with uniform or non-uniform, straight or curved, damped or undamped beam members. For two-dimensional structures, if one of the dimensions can be eliminated by means of the Kantorovich method, the method still applies. However, for more complicated systems, analytical formulation of the dynamic stiffness is tedious. A computer assisted analytical method is introduced here for any structural members the differential governing equations of which are expressible in matrix polynomial form. Complex arithmetics are used to cater for all possible classification of the characteristic roots. Numerical examples are given and are compared with existing results.
Persistent Identifierhttp://hdl.handle.net/10722/223806
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494

 

DC FieldValueLanguage
dc.contributor.authorLeung, AYT-
dc.contributor.authorZeng, SP-
dc.date.accessioned2016-03-17T07:46:37Z-
dc.date.available2016-03-17T07:46:37Z-
dc.date.issued1994-
dc.identifier.citationJournal of Sound and Vibration, 1994, v. 177 n. 4, p. 555-564-
dc.identifier.issn0022-460X-
dc.identifier.urihttp://hdl.handle.net/10722/223806-
dc.description.abstractThe dynamic stiffness matrix method enables one to model an infinite number of natural modes by means of a small number of unknowns. The method has been extended to skeletal structures with uniform or non-uniform, straight or curved, damped or undamped beam members. For two-dimensional structures, if one of the dimensions can be eliminated by means of the Kantorovich method, the method still applies. However, for more complicated systems, analytical formulation of the dynamic stiffness is tedious. A computer assisted analytical method is introduced here for any structural members the differential governing equations of which are expressible in matrix polynomial form. Complex arithmetics are used to cater for all possible classification of the characteristic roots. Numerical examples are given and are compared with existing results.-
dc.languageeng-
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi-
dc.relation.ispartofJournal of Sound and Vibration-
dc.rightsPosting accepted manuscript (postprint): © <year>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/-
dc.subjectBeams and girders-
dc.subjectComputer aided analysis-
dc.subjectDifferential equations-
dc.subjectDynamic response-
dc.subjectMatrix algebra-
dc.titleAnalytical formulation of dynamic stiffness-
dc.typeArticle-
dc.identifier.emailLeung, AYT: ytleung@hkucc.hku.hk-
dc.identifier.doi10.1006/jsvi.1994.1451-
dc.identifier.hkuros5734-
dc.identifier.volume177-
dc.identifier.issue4-
dc.identifier.spage555-
dc.identifier.epage564-
dc.publisher.placeUnited Kingdom-

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