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dc.contributor.authorHuang, C. S.en_US
dc.contributor.authorLeissa, A. W.en_US
dc.date.accessioned2014-12-08T15:09:17Z-
dc.date.available2014-12-08T15:09:17Z-
dc.date.issued2009-06-19en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.jsv.2009.01.018en_US
dc.identifier.urihttp://hdl.handle.net/11536/7099-
dc.description.abstractThis analysis deals with Free vibrations of a rectangular plate with a side crack by using the famous Ritz method with special displacement functions. To appropriately describe the stress singularities at the crack tip and show the discontinuities of displacement and slope crossing the crack, previously used corner functions, as well as a new set of functions, are added to the well known admissible functions consisting of regular polynomials. Comprehensive convergence studies oil the vibrations Of simply Supported rectangular plates with horizontal cracks at the symmetry axis are carried out and show that both the corner functions and the proposed new set of functions indeed accelerate the convergence of numerical solutions. Furthermore. the new Set Of functions is found to be particularly capable in improving convergence of Solutions, especially when there is a large crack. Convergence studies also demonstrate that the present approach gives more accurate results than previously published approaches using the Ritz method combined with various domain composition techniques. Finally, the present approach is applied to investigate the effects of location, length and orientation of side cracks oil the free vibration frequencies and mode shapes of simply supported and completely free square plates with side cracks. including cracks which are not along a symmetry axis, are skewed. Most of the results shown are novel. (C) 2009 Elsevier Ltd. All rights reserved.en_US
dc.language.isoen_USen_US
dc.titleVibration analysis of rectangular plates with side cracks via the Ritz methoden_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.jsv.2009.01.018en_US
dc.identifier.journalJOURNAL OF SOUND AND VIBRATIONen_US
dc.citation.volume323en_US
dc.citation.issue3-5en_US
dc.citation.spage974en_US
dc.citation.epage988en_US
dc.contributor.department土木工程學系zh_TW
dc.contributor.departmentDepartment of Civil Engineeringen_US
dc.identifier.wosnumberWOS:000266677600027-
dc.citation.woscount25-
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