Fully automatic force method for the optimal shakedown design of frames

Spiliopoulos, KV

dc.contributor.author	Spiliopoulos, KV	en
dc.date.accessioned	2014-03-01T01:14:18Z
dc.date.available	2014-03-01T01:14:18Z
dc.date.issued	1999	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12986
dc.subject	Planar Graph	en
dc.subject	Linear Program	en
dc.subject	Right Hand Side	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Algorithms	en
dc.subject.other	Elasticity	en
dc.subject.other	Iterative methods	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Structural analysis	en
dc.subject.other	Structural loads	en
dc.subject.other	Automatic force method	en
dc.subject.other	Back-substitution algorithms	en
dc.subject.other	Elastic bending moments	en
dc.subject.other	Elastic compatibility equation	en
dc.subject.other	Structural frames	en
dc.title	Fully automatic force method for the optimal shakedown design of frames	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s004660050411	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s004660050411	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	The paper presents a fully automatic way to handle the problem of the optimal shakedown design of planar frames. The evaluation of the elastic moments is essential for this design problem and due to the fact that they are design dependent, a classical iterative procedure is followed which updates these moments at the beginning of each iteration. A linear programming problem is then solved inside each iteration. The formulation adopted here is based on the force method which has computational advantages against the displacement method for this type of problems. Within the framework of the force method, the statical basis is provided by an easy to implement algorithm which selects a near minimal mesh basis for any planar graph. This basis is efficiently used, in a novel way, to find the flexibility matrix of the frame in a skyline form amenable to standard algorithms for its decomposition. The quickest way to the ground of each load is used to form the right hand side of the elastic compatibility equations for each load pattern. These equations are efficiently solved by standard back-substitution algorithms and the elastic bending moments to be introduced at the beginning of each iteration is established. Examples of application are also included.	en
heal.publisher	Springer-Verlag GmbH & Company KG, Berlin, Germany	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s004660050411	en
dc.identifier.isi	ISI:000080697000003	en
dc.identifier.volume	23	en
dc.identifier.issue	4	en
dc.identifier.spage	299	en
dc.identifier.epage	307	en