A new quadrature method for the computation of critical loads in problems of elastic buckling

Anastasselou, EG

dc.contributor.author	Anastasselou, EG	en
dc.date.accessioned	2014-03-01T01:06:22Z
dc.date.available	2014-03-01T01:06:22Z
dc.date.issued	1985	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9334
dc.subject	Critical Loads	en
dc.subject	Gaussian Quadrature	en
dc.subject	Numerical Solution	en
dc.subject.classification	Mechanics	en
dc.subject.other	MECHANICS - Elasticity	en
dc.subject.other	STRUCTURAL FRAMES	en
dc.subject.other	CLOSED-FORM FORMULA	en
dc.subject.other	FRAME DEFORMATION	en
dc.subject.other	FRAME STABILITY	en
dc.subject.other	BARS	en
dc.title	A new quadrature method for the computation of critical loads in problems of elastic buckling	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01176675	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01176675	en
heal.language	English	en
heal.publicationDate	1985	en
heal.abstract	The computation of critical loads in problems of elastic buckling of bars and frames is generally reduced to the numerical solution of a transcendental equation. In this paper, we apply a new method, based on Gaussian quadrature rules, for the solution of transcendental equations to the determination of critical loads in buckling problems. Two such problems of practical interest are completely solved for the illustration of the method and numerical results are presented. The main advantages of the present method are its simplicity and the availability of closed-form formulae for the critical loads, from which the numerical results are obtained by using Gaussian quadrature rules. A comparison between the present method and the method of Burniston and Siewert is also made. © 1985 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01176675	en
dc.identifier.isi	ISI:A1985AUA3500005	en
dc.identifier.volume	57	en
dc.identifier.issue	1-2	en
dc.identifier.spage	85	en
dc.identifier.epage	98	en