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Article: Vibration and stability of non-uniform beams with abrupt changes of cross-section by using C1 modified beam vibration functions

TitleVibration and stability of non-uniform beams with abrupt changes of cross-section by using C1 modified beam vibration functions
Authors
Issue Date1999
PublisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/apm
Citation
Applied Mathematical Modelling, 1999, v. 23 n. 1, p. 19-34 How to Cite?
AbstractA unified method is presented for the analysis of vibration and stability of axially loaded non-uniform beams with abrupt changes of cross-section. The beam may also be supported on Winkler elastic foundation, and both the axial force and the foundation stiffness can be varied arbitrarily. The method is based on the Euler-Lagrangian approach using a family of C1 admissible functions as the assumed modes. The assumed modes comprise essentially the vibration modes of a single span hypothetical prismatic beam with the same end supports but without the intermediate supports, modified by piecewise C1 cubic polynomials. The chosen admissible functions therefore possess both the advantages of fast convergence of the eigenfunctions and the appropriate order of continuity at the location of abrupt change of cross-section. The method allows extensive use of matrix notations and programming is rather straightforward. Numerical results also show that the method is versatile, efficient and accurate.
Persistent Identifierhttp://hdl.handle.net/10722/150121
ISSN
2015 Impact Factor: 2.291
2015 SCImago Journal Rankings: 1.318
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorAu, FTKen_US
dc.contributor.authorZheng, DYen_US
dc.contributor.authorCheung, YKen_US
dc.date.accessioned2012-06-26T06:01:41Z-
dc.date.available2012-06-26T06:01:41Z-
dc.date.issued1999en_US
dc.identifier.citationApplied Mathematical Modelling, 1999, v. 23 n. 1, p. 19-34en_US
dc.identifier.issn0307-904Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/150121-
dc.description.abstractA unified method is presented for the analysis of vibration and stability of axially loaded non-uniform beams with abrupt changes of cross-section. The beam may also be supported on Winkler elastic foundation, and both the axial force and the foundation stiffness can be varied arbitrarily. The method is based on the Euler-Lagrangian approach using a family of C1 admissible functions as the assumed modes. The assumed modes comprise essentially the vibration modes of a single span hypothetical prismatic beam with the same end supports but without the intermediate supports, modified by piecewise C1 cubic polynomials. The chosen admissible functions therefore possess both the advantages of fast convergence of the eigenfunctions and the appropriate order of continuity at the location of abrupt change of cross-section. The method allows extensive use of matrix notations and programming is rather straightforward. Numerical results also show that the method is versatile, efficient and accurate.en_US
dc.languageengen_US
dc.publisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/apmen_US
dc.relation.ispartofApplied Mathematical Modellingen_US
dc.rightsApplied Mathematical Modelling. Copyright © Elsevier Inc.-
dc.titleVibration and stability of non-uniform beams with abrupt changes of cross-section by using C1 modified beam vibration functionsen_US
dc.typeArticleen_US
dc.identifier.emailAu, FTK:francis.au@hku.hken_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityAu, FTK=rp00083en_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/S0307-904X(98)10045-8en_US
dc.identifier.scopuseid_2-s2.0-0032715417en_US
dc.identifier.hkuros41829-
dc.identifier.volume23en_US
dc.identifier.issue1en_US
dc.identifier.spage19en_US
dc.identifier.epage34en_US
dc.identifier.isiWOS:000077727600002-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridAu, FTK=7005204072en_US
dc.identifier.scopusauthoridZheng, DY=7202567275en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US

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