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

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Publisher Website: 10.1007/s10483-008-0301-1
Scopus: eid_2-s2.0-41149119556

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Title	Elasticity solution of clamped-simply supported beams with variable thickness
Authors	Xu, YP3 Zhou, D1 Cheung, YK2
Keywords	Beam Clamped Edge Elasticity Solution Fourier Expansion Variable Thickness
Issue Date	2008
Publisher	Springer 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?] DOI: http://dx.doi.org/10.1007/s10483-008-0301-1
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.
ISSN	0253-4827 2011 Impact Factor: 0.558 2011 SCImago Journal Rankings: 0.040
DOI	http://dx.doi.org/10.1007/s10483-008-0301-1
ISI Accession Number ID	WOS:000254243300001
References	References in Scopus

DC Field	Value
dc.contributor.author	Xu, YP
dc.contributor.author	Zhou, D
dc.contributor.author	Cheung, YK
dc.date.accessioned	2012-06-26T06:04:50Z
dc.date.available	2012-06-26T06:04:50Z
dc.date.issued	2008
dc.description.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.
dc.description.nature	Link_to_subscribed_fulltext
dc.identifier.citation	Applied Mathematics And Mechanics (English Edition), 2008, v. 29 n. 3, p. 279-290 [How to Cite?] DOI: http://dx.doi.org/10.1007/s10483-008-0301-1
dc.identifier.doi	http://dx.doi.org/10.1007/s10483-008-0301-1
dc.identifier.epage	290
dc.identifier.isi	WOS:000254243300001
dc.identifier.issn	0253-4827 2011 Impact Factor: 0.558 2011 SCImago Journal Rankings: 0.040
dc.identifier.issue	3
dc.identifier.scopus	eid_2-s2.0-41149119556
dc.identifier.spage	279
dc.identifier.uri	http://hdl.handle.net/10722/150444
dc.identifier.volume	29
dc.language	eng
dc.publisher	Springer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827
dc.publisher.place	Netherlands
dc.relation.ispartof	Applied Mathematics and Mechanics (English Edition)
dc.relation.references	References in Scopus
dc.subject	Beam
dc.subject	Clamped Edge
dc.subject	Elasticity Solution
dc.subject	Fourier Expansion
dc.subject	Variable Thickness
dc.title	Elasticity solution of clamped-simply supported beams with variable thickness
dc.type	Article

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Author Affiliations

Nanjing University of Technology
The University of Hong Kong
Nanjing University of Science and Technology

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

The HKU Scholars Hub has contact details for these author(s).