On the automation of the force method in the optimal plastic design of frames

Spiliopoulos, KV

dc.contributor.author	Spiliopoulos, KV	en
dc.date.accessioned	2014-03-01T01:13:14Z
dc.date.available	2014-03-01T01:13:14Z
dc.date.issued	1997	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12378
dc.subject	Computer Program	en
dc.subject	Connected Graph	en
dc.subject	Planar Graph	en
dc.subject	Satisfiability	en
dc.subject	Simplex Method	en
dc.subject	Linear Program	en
dc.subject	Shortest Path	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	Automation	en
dc.subject.other	Design	en
dc.subject.other	Loads (forces)	en
dc.subject.other	Optimization	en
dc.subject.other	Plastic sheets	en
dc.subject.other	Force method	en
dc.subject.other	Structural frames	en
dc.title	On the automation of the force method in the optimal plastic design of frames	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7825(96)01055-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7825(96)01055-9	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	It is well known that linear programming provides, computationally, the only solution to the optimal plastic design of plane frames. It is also known that the formulation of the problem by the force method, using kinematic variables, requires for its solution, by the simplex method, much less computation than the corresponding program which uses for its formulation the displacement method. However, the force method is not easily automated. This problem is circumvented in the paper by presenting a new algorithm which automatically selects a subminimal cycle base in any planar graph. Based on a shortest path technique between two points of a connected graph, the algorithm forms cycles by finding the shortest paths between the end nodes of members of the graph. The check for independence is done by fictitiously increasing the lengths of the members that form the cycle. This leads to an easy computer implementation of the algorithm. The algorithm is then used to provide a statical basis for any plane frame. Equilibrium with applied loads is satisfied by the use of cantilevers that follow the shortest load path of each load to the ground. The whole process automates the data generation of the force method and makes possible to use, in a computer program, the same input data as in the displacement method. A few examples of applications are given.	en
heal.publisher	ELSEVIER SCIENCE SA LAUSANNE	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/S0045-7825(96)01055-9	en
dc.identifier.isi	ISI:A1997WM95300008	en
dc.identifier.volume	141	en
dc.identifier.issue	1-2	en
dc.identifier.spage	141	en
dc.identifier.epage	156	en