On the large postbuckling response of nonconservative continuous systems

Kandakis, G; Kounadis, AN

dc.contributor.author	Kandakis, G	en
dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:08:53Z
dc.date.available	2014-03-01T01:08:53Z
dc.date.issued	1992	en
dc.identifier.issn	09391533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10711
dc.subject	Cantilever Beam	en
dc.subject	Continuous System	en
dc.subject	Critical Point	en
dc.subject	Eigenvalues	en
dc.subject	Elliptic Integral	en
dc.subject	Numerical Scheme	en
dc.subject	runge kutta	en
dc.subject.other	Beams and Girders - Buckling	en
dc.subject.other	Mathematical Techniques - Eigenvalues and Eigenfunctions	en
dc.subject.other	Mathematical Techniques - Integral Equations	en
dc.subject.other	Structural Analysis - Dynamic Response	en
dc.subject.other	Structural Analysis - Loads	en
dc.subject.other	Divergence Instability	en
dc.subject.other	Flutter Instability	en
dc.subject.other	Nonconservativeness Loading Parameter	en
dc.subject.other	Postbuckling Response	en
dc.subject.other	Uniform Cantilever Beam	en
dc.subject.other	Beams and Girders	en
dc.title	On the large postbuckling response of nonconservative continuous systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00804985	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00804985	en
heal.publicationDate	1992	en
heal.abstract	The large postbuckling response of a uniform cantilever beam subjected to a partial follower compressive load of constant magnitude is presented. The range of values of the nonconservativeness loading parameter for which a divergence instability occurs is theoretically established. The boundary between divergence and flutter instability corresponds to a double critical point where the first and second buckling loads (eigenvalues) coincide. It was also theoretically established that the critical points corresponding to these loads are stable symmetric. Except of the double critical point, the buckling loads of the first and second eigenmodes are distinct for the entire region of the nonconservativeness loading parameter. However, this is not true for the corresponding postbuckling paths. Indeed using an elastica analysis suitable for rotations up to 360°, it was found that at a certain critical tip rotation depending on the value of the nonconservativeness parameter the first and second postbuckling modes meet each other asymptotically. Numerical results have been obtained using various approximate analytic techniques which are checked by the method of elliptic integrals as well as the numerical schemes of Adams and Runge-Kutta. © 1992 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/BF00804985	en
dc.identifier.volume	62	en
dc.identifier.issue	4	en
dc.identifier.spage	256	en
dc.identifier.epage	265	en