Article: Dual reciprocity hybrid boundary node method for free vibration analysis
| Title | Dual reciprocity hybrid boundary node method for free vibration analysis |
|---|---|
| Authors | Yan, F2 Wang, YH2 Miao, Y2 Cheung, YK1 |
| Issue Date | 2009 |
| Publisher | Elsevier 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?] DOI: http://dx.doi.org/10.1016/j.jsv.2008.10.018 |
| 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. |
| ISSN | 0022-460X 2011 Impact Factor: 1.588 2011 SCImago Journal Rankings: 0.071 |
| DOI | http://dx.doi.org/10.1016/j.jsv.2008.10.018 |
| References | References in Scopus |
| dc.contributor.author | Yan, F | ||||||
|---|---|---|---|---|---|---|---|
| dc.contributor.author | Wang, YH | ||||||
| dc.contributor.author | Miao, Y | ||||||
| dc.contributor.author | Cheung, YK | ||||||
| dc.date.accessioned | 2012-06-26T06:05:06Z | ||||||
| dc.date.available | 2012-06-26T06:05:06Z | ||||||
| dc.date.issued | 2009 | ||||||
| dc.description.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. | ||||||
| dc.description.nature | Link_to_subscribed_fulltext | ||||||
| dc.identifier.citation | Journal 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.doi | http://dx.doi.org/10.1016/j.jsv.2008.10.018 | ||||||
| dc.identifier.epage | 1057 | ||||||
| dc.identifier.isi | WOS:000264381300032
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.issn | 0022-460X 2011 Impact Factor: 1.588 2011 SCImago Journal Rankings: 0.071 | ||||||
| dc.identifier.issue | 3-5 | ||||||
| dc.identifier.scopus | eid_2-s2.0-60349118352 | ||||||
| dc.identifier.spage | 1036 | ||||||
| dc.identifier.uri | http://hdl.handle.net/10722/150484 | ||||||
| dc.identifier.volume | 321 | ||||||
| dc.language | eng | ||||||
| dc.publisher | Elsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi | ||||||
| dc.publisher.place | United Kingdom | ||||||
| dc.relation.ispartof | Journal of Sound and Vibration | ||||||
| dc.relation.references | References in Scopus | ||||||
| dc.title | Dual reciprocity hybrid boundary node method for free vibration analysis | ||||||
| dc.type | Article |
Author Affiliations
- The University of Hong Kong
- Huazhong University of Science and Technology