Cost minimization of 2D continuum structures under stress constraints by increasing commonality in their skeletal equivalents

Provatidis, CG; Venetsanos, DT

dc.contributor.author	Provatidis, CG	en
dc.contributor.author	Venetsanos, DT	en
dc.date.accessioned	2014-03-01T01:23:45Z
dc.date.available	2014-03-01T01:23:45Z
dc.date.issued	2006	en
dc.identifier.issn	0015-7899	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17129
dc.subject	Cost Minimization	en
dc.subject	Cross Section	en
dc.subject	Sequential Quadratic Programming	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Constraint theory	en
dc.subject.other	Engineering research	en
dc.subject.other	Optimization	en
dc.subject.other	Problem solving	en
dc.subject.other	Quadratic programming	en
dc.subject.other	Stress analysis	en
dc.subject.other	Continuum structures	en
dc.subject.other	Cost minimization	en
dc.subject.other	Sequential Quadratic Programming (SQP)	en
dc.subject.other	Structural design	en
dc.title	Cost minimization of 2D continuum structures under stress constraints by increasing commonality in their skeletal equivalents	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10010-006-0026-4	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10010-006-0026-4	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	It is well known that, for real-life engineering problems, minimum weight does not necessarily mean minimum cost, thus it is of practical value to simultaneously achieve both layout optimization and cost minimization of a structure. Towards this direction, the present paper discusses a procedure of four steps concerning 2D continuum structures under stress constraints only. The continuum is first substituted by an equivalent skeletal structure, which is then optimized using the Sequential Quadratic Programming (SQP) technique. In the sequel the optimized structural members of equal or near-equal cross-sections are appropriately grouped and finally all optimized structural members of imposed critical minimum or near-minimum cross-section are eliminated. Both grouping and elimination procedures were based on a simple statistical manipulation. The proposed procedure was applied to four test cases, namely the short and long cantilever, the MBB beam and the L-shape beam. The conclusion of the present work was that, for 2D continuum structures under stress constraints only, the proposed procedure provided the means for both layout optimization and structural cost minimization.	en
heal.publisher	SPRINGER HEIDELBERG	en
heal.journalName	Forschung im Ingenieurwesen/Engineering Research	en
dc.identifier.doi	10.1007/s10010-006-0026-4	en
dc.identifier.isi	ISI:000241281600003	en
dc.identifier.volume	70	en
dc.identifier.issue	3	en
dc.identifier.spage	159	en
dc.identifier.epage	169	en