Secondary torsional moment deformation effect by BEM

Mokos, VG; Sapountzakis, EJ

dc.contributor.author	Mokos, VG	en
dc.contributor.author	Sapountzakis, EJ	en
dc.date.accessioned	2014-03-01T01:36:59Z
dc.date.available	2014-03-01T01:36:59Z
dc.date.issued	2011	en
dc.identifier.issn	0020-7403	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21421
dc.subject	Boundary element method	en
dc.subject	Nonuniform torsion	en
dc.subject	Secondary shear deformation	en
dc.subject	Secondary torsion constant	en
dc.subject	Shear deformation coefficient	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Arbitrary constants	en
dc.subject.other	Cross section	en
dc.subject.other	Deformation effects	en
dc.subject.other	Discretizations	en
dc.subject.other	Nonuniform torsion	en
dc.subject.other	Numerical example	en
dc.subject.other	Numerical procedures	en
dc.subject.other	Secondary shear deformation	en
dc.subject.other	Secondary torsion	en
dc.subject.other	Shear deformation coefficient	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Torsional moment	en
dc.subject.other	Warping function	en
dc.subject.other	Numerical methods	en
dc.subject.other	Shear deformation	en
dc.subject.other	Torsional stress	en
dc.subject.other	Boundary element method	en
dc.title	Secondary torsional moment deformation effect by BEM	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijmecsci.2011.08.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijmecsci.2011.08.001	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In this paper, a boundary element method is developed for the nonuniform torsion of simply or multiply connected bars of doubly symmetrical arbitrary constant cross section, taking into account secondary torsional moment deformation effect. The bar is subjected to arbitrarily distributed or concentrated twisting and warping moments, while its edges are restrained by the most general torsional boundary conditions. To account for secondary shear deformations, the concept of shear deformation coefficient is used leading to a secondary torsion constant. Four boundary value problems with respect to the variable along the bar primary and secondary angles of twist and to the primary and secondary warping functions are formulated and solved employing a pure BEM approach, that is only boundary discretization is used. The warping and the primary torsion constants are evaluated employing the aforementioned primary and secondary warping functions using only boundary integration, while the secondary torsion constant is computed employing an effective automatic domain integration. Numerical examples with great practical interest are worked out to illustrate the efficiency and the range of applications of the developed method. The influence of the secondary torsional moment deformation effect of closed shaped cross sections is verified, while the accuracy of the proposed numerical procedure for the calculation of the secondary torsion constant compared with a FEM one is noteworthy. (C) 2011 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Mechanical Sciences	en
dc.identifier.doi	10.1016/j.ijmecsci.2011.08.001	en
dc.identifier.isi	ISI:000295756400010	en
dc.identifier.volume	53	en
dc.identifier.issue	10	en
dc.identifier.spage	897	en
dc.identifier.epage	909	en