3-D beam element of variable composite cross section including warping effect

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T01:19:42Z
dc.date.available	2014-03-01T01:19:42Z
dc.date.issued	2004	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15676
dc.subject	Boundary Element Method	en
dc.subject	Boundary Value Problem	en
dc.subject	Cross Section	en
dc.subject	Degree of Freedom	en
dc.subject.classification	Mechanics	en
dc.subject.other	Architectural design	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Finite difference method	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Problem solving	en
dc.subject.other	Rigidity	en
dc.subject.other	Stiffness	en
dc.subject.other	Torsional stress	en
dc.subject.other	Beam elements	en
dc.subject.other	Hermite beams	en
dc.subject.other	Variable composite cross section	en
dc.subject.other	Warping effect	en
dc.subject.other	Beams and girders	en
dc.title	3-D beam element of variable composite cross section including warping effect	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00707-004-0148-4	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00707-004-0148-4	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	In this paper, a boundary element method is developed for the construction of a 14 × 14 stiffness matrix and a nodal load vector that take into account the additional warping degrees of freedom in a member of arbitrary variable composite cross section. The member is subjected to an arbitrarily concentrated or distributed twisting moment and consists of materials in contact each of which can surround a finite number of inclusions. The developed method takes into account the variable torsional and warping rigidities along the member length. Two boundary value problems with respect to the variable along the beam angle of twist and to the primary warping function are formulated and solved employing a pure BEM approach, that is only boundary discretization is used. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy. The discrepancy in the elements of the resulting stiffness matrix using the developed procedure and a fine mesh of elements having ""average"" values for the cross section parameters necessitates the consideration of the derivatives of the variable torsional and warping rigidities along the member length. Moreover, the influence of the warping effect, especially in composite members of open form cross section of variable thickness, is analyzed in examples demonstrating the importance of the inclusion of the warping degrees of freedom in the analysis of a space frame.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/s00707-004-0148-4	en
dc.identifier.isi	ISI:000224535700002	en
dc.identifier.volume	171	en
dc.identifier.issue	3-4	en
dc.identifier.spage	151	en
dc.identifier.epage	169	en