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Article: Dual reciprocity hybrid boundary node method for free vibration analysis
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TitleDual reciprocity hybrid boundary node method for free vibration analysis
 
AuthorsYan, F2
Wang, YH2
Miao, Y2
Cheung, YK1
 
Issue Date2009
 
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
 
CitationJournal Of Sound And Vibration, 2009, v. 321 n. 3-5, p. 1036-1057 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.jsv.2008.10.018
 
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.
 
ISSN0022-460X
2013 Impact Factor: 1.857
 
DOIhttp://dx.doi.org/10.1016/j.jsv.2008.10.018
 
ISI Accession Number IDWOS:000264381300032
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).

 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorYan, F
 
dc.contributor.authorWang, YH
 
dc.contributor.authorMiao, Y
 
dc.contributor.authorCheung, YK
 
dc.date.accessioned2012-06-26T06:05:06Z
 
dc.date.available2012-06-26T06:05:06Z
 
dc.date.issued2009
 
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.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.identifier.citationJournal Of Sound And Vibration, 2009, v. 321 n. 3-5, p. 1036-1057 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.jsv.2008.10.018
 
dc.identifier.doihttp://dx.doi.org/10.1016/j.jsv.2008.10.018
 
dc.identifier.epage1057
 
dc.identifier.isiWOS:000264381300032
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).

 
dc.identifier.issn0022-460X
2013 Impact Factor: 1.857
 
dc.identifier.issue3-5
 
dc.identifier.scopuseid_2-s2.0-60349118352
 
dc.identifier.spage1036
 
dc.identifier.urihttp://hdl.handle.net/10722/150484
 
dc.identifier.volume321
 
dc.languageeng
 
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
 
dc.publisher.placeUnited Kingdom
 
dc.relation.ispartofJournal of Sound and Vibration
 
dc.relation.referencesReferences in Scopus
 
dc.titleDual reciprocity hybrid boundary node method for free vibration analysis
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong
  2. Huazhong University of Science and Technology