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

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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

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