Weight minimisation of displacement-constrained truss structures using a strain energy criterion

Makris, PA; Provatidis, CG

dc.contributor.author	Makris, PA	en
dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:18:29Z
dc.date.available	2014-03-01T01:18:29Z
dc.date.issued	2002	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15036
dc.subject	Energy methods	en
dc.subject	Finite element method	en
dc.subject	Structural optimisation	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Algorithms	en
dc.subject.other	Strain	en
dc.subject.other	Stress analysis	en
dc.subject.other	Structural members	en
dc.subject.other	Weighing	en
dc.subject.other	Strain energy	en
dc.subject.other	Weight minimization	en
dc.subject.other	Trusses	en
dc.subject.other	displacement	en
dc.subject.other	finite element method	en
dc.subject.other	stress-strain analysis	en
dc.subject.other	structural analysis	en
dc.subject.other	truss	en
dc.subject.other	weight reduction	en
dc.title	Weight minimisation of displacement-constrained truss structures using a strain energy criterion	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7825(01)00381-4	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7825(01)00381-4	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	This paper discusses a new method for the solution of the general truss weight-minimisation problem under simultaneous stress and displacement constraints. The method introduces a novel strain-energy-density criterion that refers to the ratio of the virtual strain energy per unit volume in each structural member to its average value on the whole structure. The virtual strain energy comes from the unit-load theorem and it is proportional to the product of the axial member forces due to both the actual loads and a virtual unit load that is applied at the node with the maximum displacement. A simple recursive formula for updating the cross-sectional areas, based on displacement constraints, is presented. A general subsequent algorithm applicable to both single and multiple load cases follows this formula. The results are encouraging since in all test cases the method was found to be robust and generally led to the same weight level as the literature, in both small and large structures. (C) 2002 Elsevier Science B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/S0045-7825(01)00381-4	en
dc.identifier.isi	ISI:000174332600009	en
dc.identifier.volume	191	en
dc.identifier.issue	19-20	en
dc.identifier.spage	2159	en
dc.identifier.epage	2177	en