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Article: Exact method for static and natural vibration analyses of bi-periodic structures

TitleExact method for static and natural vibration analyses of bi-periodic structures
Authors
Issue Date1998
PublisherAmerican Society of Civil Engineers. The Journal's web site is located at http://www.pubs.asce.org/journals/em.html
Citation
Journal Of Engineering Mechanics, 1998, v. 124 n. 8, p. 836-841 How to Cite?
AbstractThe U-transformation technique has been applied successfully to the analysis of periodic structures and nearly periodic structures. In this study the technique will be extended to the analysis of bi-periodic structures under static loading or natural vibration, since it is possible to uncouple the governing equation by applying the U-transformation twice. To explain the method used in this paper, a simple cyclic system with bi-periodicity is considered first. It helps to demonstrate the procedures for uncoupling the static equilibrium equation to obtain the closed form solution for displacement and the natural vibration equation to obtain the natural frequencies and modes. Then a continuous beam with equidistant rigid and elastic supports (a structure with bi-periodicity), subjected to a concentrated load, is studied and the generalized analytical solution is derived. Some numerical results are also given. Though not illustrated, it is obvious that the arbitrary static loading condition can be dealt with in the same manner. ©ASCE,.
Persistent Identifierhttp://hdl.handle.net/10722/149799
ISSN
2015 Impact Factor: 1.346
2015 SCImago Journal Rankings: 0.747
References

 

DC FieldValueLanguage
dc.contributor.authorCai, CWen_US
dc.contributor.authorChan, HCen_US
dc.contributor.authorCheung, YKen_US
dc.date.accessioned2012-06-26T05:59:50Z-
dc.date.available2012-06-26T05:59:50Z-
dc.date.issued1998en_US
dc.identifier.citationJournal Of Engineering Mechanics, 1998, v. 124 n. 8, p. 836-841en_US
dc.identifier.issn0733-9399en_US
dc.identifier.urihttp://hdl.handle.net/10722/149799-
dc.description.abstractThe U-transformation technique has been applied successfully to the analysis of periodic structures and nearly periodic structures. In this study the technique will be extended to the analysis of bi-periodic structures under static loading or natural vibration, since it is possible to uncouple the governing equation by applying the U-transformation twice. To explain the method used in this paper, a simple cyclic system with bi-periodicity is considered first. It helps to demonstrate the procedures for uncoupling the static equilibrium equation to obtain the closed form solution for displacement and the natural vibration equation to obtain the natural frequencies and modes. Then a continuous beam with equidistant rigid and elastic supports (a structure with bi-periodicity), subjected to a concentrated load, is studied and the generalized analytical solution is derived. Some numerical results are also given. Though not illustrated, it is obvious that the arbitrary static loading condition can be dealt with in the same manner. ©ASCE,.en_US
dc.languageengen_US
dc.publisherAmerican Society of Civil Engineers. The Journal's web site is located at http://www.pubs.asce.org/journals/em.htmlen_US
dc.relation.ispartofJournal of Engineering Mechanicsen_US
dc.titleExact method for static and natural vibration analyses of bi-periodic structuresen_US
dc.typeArticleen_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0003509821en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0003509821&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume124en_US
dc.identifier.issue8en_US
dc.identifier.spage836en_US
dc.identifier.epage841en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridCai, CW=7202874053en_US
dc.identifier.scopusauthoridChan, HC=7403402425en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US

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