Point attractors and dynamic buckling of autonomous systems under step loading

Sophianopoulos, DS

dc.contributor.author	Sophianopoulos, DS	en
dc.date.accessioned	2014-03-01T01:15:04Z
dc.date.available	2014-03-01T01:15:04Z
dc.date.issued	1999	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13315
dc.subject	Autonomic System	en
dc.subject	Development Theory	en
dc.subject	Dynamic Response	en
dc.subject	Dynamic Stability	en
dc.subject	Fixed Point	en
dc.subject	Model Simulation	en
dc.subject	Non-linear Dynamical Systems	en
dc.subject	Non-linear Dynamics	en
dc.subject	Point of View	en
dc.subject.classification	Mechanics	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	Dynamic response	en
dc.subject.other	Equations of motion	en
dc.subject.other	Mathematical models	en
dc.subject.other	System stability	en
dc.subject.other	Autonomous multi-degrees of freedom systems	en
dc.subject.other	Nonlinear dynamical systems	en
dc.subject.other	Point attractors	en
dc.subject.other	Structural analysis	en
dc.title	Point attractors and dynamic buckling of autonomous systems under step loading	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7683(98)00249-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7683(98)00249-2	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	In this study the dynamic response of autonomous mainly dissipative multi D.O.F. systems under step loading is re-examined. Based on the geometrical point of view of the theory of non-linear dynamical systems and the rapidly developing theory of attractors, the investigation focuses on limit point like systems, with snapping as their salient feature. It is found that dynamic buckling (through a saddle or its neighborhood), although leading to a large amplitude motion, may be associated with a point attractor response on the prebuckling fixed point, depending on the amount of damping considered in close conjunction with the motion channel geometry and the total potential characteristics of all (stable and complementary) equilibria. For such systems, only a straightforward fully non-linear dynamic analysis can provide valid information on the global dynamic stability, since the shape of the total potential hypersurface may become very complicated, rendering energy aspects practically not applicable. A 2-D.O.F. model, simulating an asymmetric suspended roof is comprehensively analyzed to capture the above findings, and a parametric investigation is carried out, revealing a variety of new dynamic response types and leading to a more accurate insight of the stability of motion in the large. (C) 1999 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/S0020-7683(98)00249-2	en
dc.identifier.isi	ISI:000081880000002	en
dc.identifier.volume	36	en
dc.identifier.issue	35	en
dc.identifier.spage	5357	en
dc.identifier.epage	5385	en