Large deflection analysis of beams with variable stiffness

Katsikadelis, JT; Tsiatas, GC

dc.contributor.author	Katsikadelis, JT	en
dc.contributor.author	Tsiatas, GC	en
dc.date.accessioned	2014-03-01T01:19:05Z
dc.date.available	2014-03-01T01:19:05Z
dc.date.issued	2003	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15377
dc.subject	Boundary Condition	en
dc.subject	Cross Section	en
dc.subject	Differential Equation	en
dc.subject	Integral Representation	en
dc.subject	Load Distribution	en
dc.subject	Nonlinear Analysis	en
dc.subject	Nonlinear Differential Equation	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary element method	en
dc.subject.other	Deflection (structures)	en
dc.subject.other	Differential equations	en
dc.subject.other	Finite element method	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Stiffness	en
dc.subject.other	Analog equation method	en
dc.subject.other	Axial deformation	en
dc.subject.other	Bending stiffness	en
dc.subject.other	Bernoulli-Euler beam	en
dc.subject.other	Transverse deformation	en
dc.subject.other	Beams and girders	en
dc.title	Large deflection analysis of beams with variable stiffness	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00707-003-0015-8	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00707-003-0015-8	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper, the Analog Equation Method (AEM), a BEM-based method, is employed to the nonlinear analysis of a Bernoulli-Eider beam with variable stiffness undergoing large deflections, under general boundary conditions which maybe nonlinear. As the cross-sectional properties of the beam vary along its axis, the coefficients of the differential equations governing the equilibrium of the beam are variable. The formulation is in terms of the displacements. The governing equations are derived in both deformed and undeformed configuration and the deviations of the two approaches are studied. Using the concept of the analog equation, the two coupled nonlinear differential equations with variable coefficients are replaced by two uncoupled linear ones pertaining to the axial and transverse deformation of a substitute beam with unit axial and bending stiffness, respectively, under fictitious load distributions. Besides the effectiveness and accuracy of the developed method, a significant advantage is that the displacements as well as the stress resultants are computed at any cross-section of the beam using the respective integral representations as mathematical formulae. Several beams are analyzed under various boundary conditions and loadings to illustrate the merits of the method as well as its applicability, efficiency and accuracy.	en
heal.publisher	SPRINGER-VERLAG WIEN	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/s00707-003-0015-8	en
dc.identifier.isi	ISI:000185355000001	en
dc.identifier.volume	164	en
dc.identifier.issue	1-2	en
dc.identifier.spage	1	en
dc.identifier.epage	13	en