Qualitative criteria in non-linear dynamic buckling and stability of autonomous dissipative systems

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T02:48:16Z
dc.date.available	2014-03-01T02:48:16Z
dc.date.issued	1994	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/33690
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0028730234&partnerID=40&md5=0695d0c0c65a9688c40dc088d34081dd	en
dc.subject.other	Algebra	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Computer simulation	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Differential equations	en
dc.subject.other	Differentiation (calculus)	en
dc.subject.other	Dynamic response	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Equations of motion	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Stability	en
dc.subject.other	Autonomous dissipative systems	en
dc.subject.other	Bifurcation points	en
dc.subject.other	Imperfect systems	en
dc.subject.other	Nonlinear initial value problems	en
dc.subject.other	Symmetric imperfections	en
dc.subject.other	Buckling	en
dc.title	Qualitative criteria in non-linear dynamic buckling and stability of autonomous dissipative systems	en
heal.type	conferenceItem	en
heal.publicationDate	1994	en
heal.abstract	A general qualitative approach for the dynamic Buckling and Stability of autonomous dissipative structural systems is comprehensively presented. Using the theory of local and global bifurcations, of the Jacobian eigenvalues, of point and periodic attractors, of the basin of attraction and of the inset and outset manifolds, the mechanism of dynamic buckling is thoroughly discussed. This allows us to establish useful criteria leading to exact and upper/lower bound buckling estimates without integrating the highly nonlinear initial-value problem. A comparison of the results of the above qualitative analysis with those obtained via numerical simulation and an approximate analytic technique, is performed on two simple of engineering importance models.	en
heal.publisher	Civil-Comp Limited, Edinburgh, United Kingdom	en
heal.journalName	International Conference on Computational Structures Technology - Proceedings	en
dc.identifier.spage	77	en
dc.identifier.epage	82	en