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Article: Dual reciprocity hybrid boundary node method for free vibration analysis

TitleDual reciprocity hybrid boundary node method for free vibration analysis
Authors
Issue Date2009
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 2009, v. 321 n. 3-5, p. 1036-1057 How to Cite?
Abstract
As a truly meshless method of boundary-type, the hybrid boundary node method (HBNM) has the advantages of both boundary element method (BEM) and meshless method. The main problem is that it is only suitable for the homogeneous problems. Now, the dual reciprocity method (DRM) is introduced into HBNM to deal with the integral for the inhomogeneous terms of the governing equations, and the rigid body motion approach is employed to solve the hyper-singular integrations. A new meshless method named dual reciprocity hybrid boundary node method (DRHBNM) is proposed and applied to solve free vibration problems. In this method, the solution composes into two parts, i.e., the general solution and the particular solution. The general solution is solved by HBNM and the particular one is obtained by DRM. DRHBNM is a true boundary-type meshless method. It does not require the 'boundary element mesh', either for the purpose of interpolation of the variables, or for the integration of 'energy'. The points in the domain are only used to interpolate particular solution by the radial basis function. Finally, the boundary variables are interpolated by the independent smooth boundary segments. The Q-R algorithm and Householder algorithm are applied to solve the eigenvalues and eigenvectors of the transformed matrix. Numerical examples for free vibration problems show that a good convergence with mesh refinement is achievable and the computational results for the natural circular frequencies and free vibration modes are very accurate. Furthermore, the computation parameters have little influence on the results and can be chosen in a wide range. It is shown that the present method is effective and can be widely applied in practical engineering. © 2008 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/150484
ISSN
2013 Impact Factor: 1.857
ISI Accession Number ID
Funding AgencyGrant Number
The University of Hong Kong
Natural Science Foundation of China50808090
Funding Information:

The financial support from The University of Hong Kong is greatly appreciated. This work was supported by Natural Science Foundation of China (no. 50808090).

References

 

Author Affiliations
  1. The University of Hong Kong
  2. Huazhong University of Science and Technology
DC FieldValueLanguage
dc.contributor.authorYan, Fen_US
dc.contributor.authorWang, YHen_US
dc.contributor.authorMiao, Yen_US
dc.contributor.authorCheung, YKen_US
dc.date.accessioned2012-06-26T06:05:06Z-
dc.date.available2012-06-26T06:05:06Z-
dc.date.issued2009en_US
dc.identifier.citationJournal Of Sound And Vibration, 2009, v. 321 n. 3-5, p. 1036-1057en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/150484-
dc.description.abstractAs a truly meshless method of boundary-type, the hybrid boundary node method (HBNM) has the advantages of both boundary element method (BEM) and meshless method. The main problem is that it is only suitable for the homogeneous problems. Now, the dual reciprocity method (DRM) is introduced into HBNM to deal with the integral for the inhomogeneous terms of the governing equations, and the rigid body motion approach is employed to solve the hyper-singular integrations. A new meshless method named dual reciprocity hybrid boundary node method (DRHBNM) is proposed and applied to solve free vibration problems. In this method, the solution composes into two parts, i.e., the general solution and the particular solution. The general solution is solved by HBNM and the particular one is obtained by DRM. DRHBNM is a true boundary-type meshless method. It does not require the 'boundary element mesh', either for the purpose of interpolation of the variables, or for the integration of 'energy'. The points in the domain are only used to interpolate particular solution by the radial basis function. Finally, the boundary variables are interpolated by the independent smooth boundary segments. The Q-R algorithm and Householder algorithm are applied to solve the eigenvalues and eigenvectors of the transformed matrix. Numerical examples for free vibration problems show that a good convergence with mesh refinement is achievable and the computational results for the natural circular frequencies and free vibration modes are very accurate. Furthermore, the computation parameters have little influence on the results and can be chosen in a wide range. It is shown that the present method is effective and can be widely applied in practical engineering. © 2008 Elsevier Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvien_US
dc.relation.ispartofJournal of Sound and Vibrationen_US
dc.titleDual reciprocity hybrid boundary node method for free vibration analysisen_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.doi10.1016/j.jsv.2008.10.018en_US
dc.identifier.scopuseid_2-s2.0-60349118352en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-60349118352&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume321en_US
dc.identifier.issue3-5en_US
dc.identifier.spage1036en_US
dc.identifier.epage1057en_US
dc.identifier.isiWOS:000264381300032-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridYan, F=8972614400en_US
dc.identifier.scopusauthoridWang, YH=25652240500en_US
dc.identifier.scopusauthoridMiao, Y=7101982285en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US

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