Stability of a gradient elastic beam compressed by non-conservative forces

Lazopoulos, KA; Lazopoulos, AK

dc.contributor.author	Lazopoulos, KA	en
dc.contributor.author	Lazopoulos, AK	en
dc.date.accessioned	2014-03-01T01:34:39Z
dc.date.available	2014-03-01T01:34:39Z
dc.date.issued	2010	en
dc.identifier.issn	0044-2267	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20786
dc.subject	Critical load	en
dc.subject	Flutter	en
dc.subject	Non-conservative	en
dc.subject	Stability	en
dc.subject	Strain gradient elasticity	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.title	Stability of a gradient elastic beam compressed by non-conservative forces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/zamm.200900231	en
heal.identifier.secondary	http://dx.doi.org/10.1002/zamm.200900231	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	The critical loads for five non-conservative problems are defined under the context of gradient elasticity theory of a beam. The first problem deals with the stability of a gradient elastic beam compressed by a follower force (Beck's problem) and the second deals with the stability of a gradient elastic beam compressed by a force with a fixed line of action (Rent's problem). The governing dynamic equation with the boundary conditions is formulated on the bases of simple linear elasticity theory with the beam mass concentrated on the moving end. Also the case with uniform distribution of the mass along the beam will be considered. Further the effect of an additional conservative force acting on the moving end of the beam will also be discussed. Numerical applications indicate that although the surface energy term does not have a substantial effect. the intrinsic length due to gradient elasticity is of major importance. In fact, it increases of the critical load. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim	en
heal.publisher	WILEY-V C H VERLAG GMBH	en
heal.journalName	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik	en
dc.identifier.doi	10.1002/zamm.200900231	en
dc.identifier.isi	ISI:000275804000001	en
dc.identifier.volume	90	en
dc.identifier.issue	3	en
dc.identifier.spage	174	en
dc.identifier.epage	184	en