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Article: Vibration of continuous beams using modified beam vibration functions

TitleVibration of continuous beams using modified beam vibration functions
Authors
KeywordsBeam
Ritz method
Trial functions
Vibration
Issue Date1996
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/
Citation
Communications In Numerical Methods In Engineering, 1996, v. 12 n. 2, p. 107-114 How to Cite?
AbstractFree vibration of beams with intermediate point supports is studied by the classical Ritz method within the context of Euler beam theory. For the Ritz method, the displacement of a beam is approximated by a set of admissible trial functions which must satisfy the kinematic conditions at the ends and intermediate supports of the beam. To this end, a polynomial is superimposed on the conventional single-span beam vibration functions to form continuous-span or modified beam vibration functions. These modified beam functions are taken as the admissible trial functions for subsequent formulation. Stiffness and mass matrices are formulated using the conventional procedure and the resulting linear eigen-equation can be solved easily. A number of numerical examples are given to demonstrate the accuracy and efficiency of the present method.
Persistent Identifierhttp://hdl.handle.net/10722/71418
ISSN
2011 Impact Factor: 1.754
References

 

DC FieldValueLanguage
dc.contributor.authorKong, Jen_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2010-09-06T06:31:49Z-
dc.date.available2010-09-06T06:31:49Z-
dc.date.issued1996en_HK
dc.identifier.citationCommunications In Numerical Methods In Engineering, 1996, v. 12 n. 2, p. 107-114en_HK
dc.identifier.issn1069-8299en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71418-
dc.description.abstractFree vibration of beams with intermediate point supports is studied by the classical Ritz method within the context of Euler beam theory. For the Ritz method, the displacement of a beam is approximated by a set of admissible trial functions which must satisfy the kinematic conditions at the ends and intermediate supports of the beam. To this end, a polynomial is superimposed on the conventional single-span beam vibration functions to form continuous-span or modified beam vibration functions. These modified beam functions are taken as the admissible trial functions for subsequent formulation. Stiffness and mass matrices are formulated using the conventional procedure and the resulting linear eigen-equation can be solved easily. A number of numerical examples are given to demonstrate the accuracy and efficiency of the present method.en_HK
dc.languageengen_HK
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/en_HK
dc.relation.ispartofCommunications in Numerical Methods in Engineeringen_HK
dc.rightsCommunications in Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd.en_HK
dc.subjectBeamen_HK
dc.subjectRitz methoden_HK
dc.subjectTrial functionsen_HK
dc.subjectVibrationen_HK
dc.titleVibration of continuous beams using modified beam vibration functionsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1069-8299&volume=12&spage=107&epage=114&date=1996&atitle=Vibration+of+continuous+beams+using+modified+beam+vibration+functionsen_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0030085796en_HK
dc.identifier.hkuros11754en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0030085796&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume12en_HK
dc.identifier.issue2en_HK
dc.identifier.spage107en_HK
dc.identifier.epage114en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridKong, J=7202290905en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK

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