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Article: Elasticity solution of clamped-simply supported beams with variable thickness

TitleElasticity solution of clamped-simply supported beams with variable thickness
Authors
KeywordsBeam
Clamped Edge
Elasticity Solution
Fourier Expansion
Variable Thickness
Issue Date2008
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827
Citation
Applied Mathematics And Mechanics (English Edition), 2008, v. 29 n. 3, p. 279-290 How to Cite?
Abstract
This paper studies the stress and displacement distributions of continuously varying thickness beams with one end clamped and the other end simply supported under static loads. By introducing the unit pulse functions and Dirac functions, the clamped edge can be made equivalent to the simply supported one by adding the unknown horizontal reactions. According to the governing equations of the plane stress problem, the general expressions of displacements, which satisfy the governing differential equations and the boundary conditions at two ends of the beam, can be deduced. The unknown coefficients in the general expressions are then determined by using Fourier sinusoidal series expansion along the upper and lower boundaries of the beams and using the condition of zero displacements at the clamped edge. The solution obtained has excellent convergence properties. Comparing the numerical results to those obtained from the commercial software ANSYS, excellent accuracy of the present method is demonstrated. © 2008 Comitee of Applied Mathematics.
Persistent Identifierhttp://hdl.handle.net/10722/150444
ISSN
2013 Impact Factor: 0.802
2013 SCImago Journal Rankings: 0.412
ISI Accession Number ID
References

 

Author Affiliations
  1. Nanjing University of Technology
  2. The University of Hong Kong
  3. Nanjing University of Science and Technology
DC FieldValueLanguage
dc.contributor.authorXu, YPen_US
dc.contributor.authorZhou, Den_US
dc.contributor.authorCheung, YKen_US
dc.date.accessioned2012-06-26T06:04:50Z-
dc.date.available2012-06-26T06:04:50Z-
dc.date.issued2008en_US
dc.identifier.citationApplied Mathematics And Mechanics (English Edition), 2008, v. 29 n. 3, p. 279-290en_US
dc.identifier.issn0253-4827en_US
dc.identifier.urihttp://hdl.handle.net/10722/150444-
dc.description.abstractThis paper studies the stress and displacement distributions of continuously varying thickness beams with one end clamped and the other end simply supported under static loads. By introducing the unit pulse functions and Dirac functions, the clamped edge can be made equivalent to the simply supported one by adding the unknown horizontal reactions. According to the governing equations of the plane stress problem, the general expressions of displacements, which satisfy the governing differential equations and the boundary conditions at two ends of the beam, can be deduced. The unknown coefficients in the general expressions are then determined by using Fourier sinusoidal series expansion along the upper and lower boundaries of the beams and using the condition of zero displacements at the clamped edge. The solution obtained has excellent convergence properties. Comparing the numerical results to those obtained from the commercial software ANSYS, excellent accuracy of the present method is demonstrated. © 2008 Comitee of Applied Mathematics.en_US
dc.languageengen_US
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827en_US
dc.relation.ispartofApplied Mathematics and Mechanics (English Edition)en_US
dc.subjectBeamen_US
dc.subjectClamped Edgeen_US
dc.subjectElasticity Solutionen_US
dc.subjectFourier Expansionen_US
dc.subjectVariable Thicknessen_US
dc.titleElasticity solution of clamped-simply supported beams with variable thicknessen_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.doi10.1007/s10483-008-0301-1en_US
dc.identifier.scopuseid_2-s2.0-41149119556en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-41149119556&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume29en_US
dc.identifier.issue3en_US
dc.identifier.spage279en_US
dc.identifier.epage290en_US
dc.identifier.isiWOS:000254243300001-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridXu, YP=23986655500en_US
dc.identifier.scopusauthoridZhou, D=7403395115en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US

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