Gröbner bases in truss problems with maple

Ioakimidis, NI; Anastasselou, EG

dc.contributor.author	Ioakimidis, NI	en
dc.contributor.author	Anastasselou, EG	en
dc.date.accessioned	2014-03-01T01:09:54Z
dc.date.available	2014-03-01T01:09:54Z
dc.date.issued	1994	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11240
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Algorithms	en
dc.subject.other	Boolean algebra	en
dc.subject.other	Computer aided analysis	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Trusses	en
dc.subject.other	Vectors	en
dc.subject.other	Grobner bases	en
dc.subject.other	Software package Maple V	en
dc.subject.other	Structural analysis	en
dc.title	Gröbner bases in truss problems with maple	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0045-7949(94)90093-0	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0045-7949(94)90093-0	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	The well-known method of Gröbner bases in computer algebra can be used in elementary truss problems, where the appearance of sine and cosine terms because of the angles of the bars of the truss to the Ox-axis (beyond the magnitudes of the forces in these bars) make the problem nonlinear. A simple truss is used for an illustration of the method during the determination of two angles in such a way that the forces in two bars have values given in advance. Similarly, it is observed, again by using Gröbner bases, that the force equations at each joint of a loaded truss and the equation for the reactions of the truss are compatible. The whole approach seems to be one more application of Gröbner bases related to their applications in nonlinear computational geometry. The computer algebra system Maple V has been used in the present application of Gröbner bases. © 1994.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/0045-7949(94)90093-0	en
dc.identifier.isi	ISI:A1994PF92700024	en
dc.identifier.volume	52	en
dc.identifier.issue	5	en
dc.identifier.spage	1093	en
dc.identifier.epage	1096	en