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

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:12:13Z
dc.date.available	2014-03-01T01:12:13Z
dc.date.issued	1996	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12012
dc.subject	Basin of Attraction	en
dc.subject	Branch Point	en
dc.subject	Degree of Freedom	en
dc.subject	Dissipative Structure	en
dc.subject	Dissipative System	en
dc.subject	Equilibrium Point	en
dc.subject	Global Bifurcation	en
dc.subject	Initial Value Problem	en
dc.subject	Non-linear Dynamics	en
dc.subject	Numerical Simulation	en
dc.subject	Qualitative Analysis	en
dc.subject	Lower Bound	en
dc.subject.classification	Mechanics	en
dc.subject.other	Approximation theory	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Buckling	en
dc.subject.other	Computer simulation	en
dc.subject.other	Damping	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Differential equations	en
dc.subject.other	Geometry	en
dc.subject.other	Loads (forces)	en
dc.subject.other	Numerical methods	en
dc.subject.other	Stability	en
dc.subject.other	Structures (built objects)	en
dc.subject.other	Autonomous dissipative systems	en
dc.subject.other	Equilibrium path	en
dc.subject.other	Mass distribution	en
dc.subject.other	Material non linearities	en
dc.subject.other	Qualitative criteria	en
dc.subject.other	Total energy equation	en
dc.subject.other	Dynamic response	en
dc.title	Qualitative criteria in non-linear dynamic buckling and stability of autonomous dissipative systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7462(97)87164-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7462(97)87164-8	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	A general qualitative approach for dynamic buckling and stability of autonomous dissipative structural systems is comprehensively presented. Attention is focused on systems which under the same statically applied loading exhibit a limit point instability or an unstable branching point instability with a non-linear fundamental path. Using the total energy equation, the theory of point and periodic attractors of the basin of attraction of a stable equilibrium point, of local and global bifurcations, of the inset and outset manifolds of a saddle and of the geometry of the channel of motion, the stability of the fundamental equilibrium path and the mechanism of dynamic buckling are thoroughly discussed. This allows us to establish useful qualitative criteria leading to exact, approximate and upper/lower bound buckling estimates without integrating the highly non-linear initial-value problem. The individual and coupling effect of geometric and material non-linearities of damping and mass distribution on the dynamic buckling load are also examined. A comparison of the results of the above qualitative analysis with those obtained via numerical simulation is performed on several two- and three-degree-of-freedom models of engineering importance. Copyright (C) 1996 Published by Elsevier Science Ltd.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/S0020-7462(97)87164-8	en
dc.identifier.isi	ISI:A1996WD72400008	en
dc.identifier.volume	31	en
dc.identifier.issue	6 SPEC. ISS.	en
dc.identifier.spage	887	en
dc.identifier.epage	906	en