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Article: 3D vibration analysis of solid and hollow circular cylinders via Chebyshev-Ritz method

Title3D vibration analysis of solid and hollow circular cylinders via Chebyshev-Ritz method
Authors
Issue Date2003
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cma
Citation
Computer Methods In Applied Mechanics And Engineering, 2003, v. 192 n. 13-14, p. 1575-1589 How to Cite?
AbstractA general approach is presented for solving the free vibration of solid and hollow circular cylinders. The analysis procedure is based on the small-strain, linear and exact elasticity theory. By taking the Chebyshev polynomial series multiplied by a boundary function to satisfy the geometric boundary conditions as the admissible functions, the Ritz method is applied to derive the frequency equation of the cylinder. According to the axisymmetric geometrical property of a circular cylinder, the vibration modes are divided into three distinct categories: axisymmetric vibration, torsional vibration and circumferential vibration. Moreover, for a cylinder with the same boundary conditions at the two ends, the vibration modes can be further divided into antisymmetric and symmetric ones in the length direction. Convergence and comparison studies demonstrate the high accuracy and small computational cost of the present method. A significant advantage over other Ritz solutions is that the present method can guarantee stable numerical operation even when a large number of terms of admissible functions are used. Not only the lower-order but also the higher-order frequencies can be obtained by using a few terms of the Chebyshev polynomials. Finally, the first several frequencies of circular cylinders with different boundary conditions, with respect to various parameters such as the length-radius ratio and the inside-outside radius ratio, are given. © 2003 Elsevier Science B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/150232
ISSN
2015 Impact Factor: 3.467
2015 SCImago Journal Rankings: 2.952
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhou, Den_US
dc.contributor.authorCheung, YKen_US
dc.contributor.authorLo, SHen_US
dc.contributor.authorAu, FTKen_US
dc.date.accessioned2012-06-26T06:02:37Z-
dc.date.available2012-06-26T06:02:37Z-
dc.date.issued2003en_US
dc.identifier.citationComputer Methods In Applied Mechanics And Engineering, 2003, v. 192 n. 13-14, p. 1575-1589en_US
dc.identifier.issn0045-7825en_US
dc.identifier.urihttp://hdl.handle.net/10722/150232-
dc.description.abstractA general approach is presented for solving the free vibration of solid and hollow circular cylinders. The analysis procedure is based on the small-strain, linear and exact elasticity theory. By taking the Chebyshev polynomial series multiplied by a boundary function to satisfy the geometric boundary conditions as the admissible functions, the Ritz method is applied to derive the frequency equation of the cylinder. According to the axisymmetric geometrical property of a circular cylinder, the vibration modes are divided into three distinct categories: axisymmetric vibration, torsional vibration and circumferential vibration. Moreover, for a cylinder with the same boundary conditions at the two ends, the vibration modes can be further divided into antisymmetric and symmetric ones in the length direction. Convergence and comparison studies demonstrate the high accuracy and small computational cost of the present method. A significant advantage over other Ritz solutions is that the present method can guarantee stable numerical operation even when a large number of terms of admissible functions are used. Not only the lower-order but also the higher-order frequencies can be obtained by using a few terms of the Chebyshev polynomials. Finally, the first several frequencies of circular cylinders with different boundary conditions, with respect to various parameters such as the length-radius ratio and the inside-outside radius ratio, are given. © 2003 Elsevier Science B.V. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cmaen_US
dc.relation.ispartofComputer Methods in Applied Mechanics and Engineeringen_US
dc.title3D vibration analysis of solid and hollow circular cylinders via Chebyshev-Ritz methoden_US
dc.typeArticleen_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_US
dc.identifier.emailAu, FTK:francis.au@hku.hken_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.identifier.authorityLo, SH=rp00223en_US
dc.identifier.authorityAu, FTK=rp00083en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/S0045-7825(02)00643-6en_US
dc.identifier.scopuseid_2-s2.0-0037470761en_US
dc.identifier.hkuros76269-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037470761&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume192en_US
dc.identifier.issue13-14en_US
dc.identifier.spage1575en_US
dc.identifier.epage1589en_US
dc.identifier.isiWOS:000181896300001-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridZhou, D=7403395115en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridLo, SH=7401542444en_US
dc.identifier.scopusauthoridAu, FTK=7005204072en_US

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