Compatibility differential/difference equations in classical beam problems with the characteristic sets method

Anastasselou, EG

dc.contributor.author	Anastasselou, EG	en
dc.date.accessioned	2014-03-01T01:10:53Z
dc.date.available	2014-03-01T01:10:53Z
dc.date.issued	1995	en
dc.identifier.issn	0965-9978	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11475
dc.subject	beams	en
dc.subject	cantilever beam	en
dc.subject	characteristic sets	en
dc.subject	compatibility equations	en
dc.subject	computer algebra	en
dc.subject	deflections	en
dc.subject	difference equations	en
dc.subject	differential equations	en
dc.subject	Gröbner bases	en
dc.subject	simply-supported beam	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.title	Compatibility differential/difference equations in classical beam problems with the characteristic sets method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0965-9978(95)00002-E	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0965-9978(95)00002-E	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	The method of characteristic sets in computer algebra for the elimination of variables in systems of polynomial equations is used here for the derivation of compatibility equations, both differential equations and difference equations, in three cases of classical straight beam problems for isotropic elastic materials. These equations are derived on the basis of well-known formulae for the deflections of the beams, where the distance along the beam, the beam length and the overall geometry-material-loading constant are eliminated. The obtained equations can be used for the verification of experimental measurements for the deflection of the points of the beam or even for deciding (on the basis of experimental measurements) whether the beam under consideration is really of one type or of another. Beyond the characteristic sets method, the Gröbner bases approach is also suggested in brief. © 1995.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Advances in Engineering Software	en
dc.identifier.doi	10.1016/0965-9978(95)00002-E	en
dc.identifier.isi	ISI:A1995QZ89300007	en
dc.identifier.volume	22	en
dc.identifier.issue	1	en
dc.identifier.spage	63	en
dc.identifier.epage	68	en