Influence of Initial Conditions on the Postcritical Behavior of a Nonlinear Aeroelastic System

Bolotin, VV; Grishko, AA; Kounadis, AN; Gantes, Ch; Roberts, JB

dc.contributor.author	Bolotin, VV	en
dc.contributor.author	Grishko, AA	en
dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Gantes, Ch	en
dc.contributor.author	Roberts, JB	en
dc.date.accessioned	2014-03-01T01:13:50Z
dc.date.available	2014-03-01T01:13:50Z
dc.date.issued	1998	en
dc.identifier.issn	0924-090X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12740
dc.subject	Aeroelasticity	en
dc.subject	Attraction basin	en
dc.subject	Attractor	en
dc.subject	Bifurcation	en
dc.subject	Chaos	en
dc.subject	Nonlinear vibration	en
dc.subject	Panel flutter	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Approximation theory	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Chaos theory	en
dc.subject.other	Supersonic flow	en
dc.subject.other	Vibrations (mechanical)	en
dc.subject.other	Attraction basin	en
dc.subject.other	Hopf bifurcations	en
dc.subject.other	Flutter (aerodynamics)	en
dc.title	Influence of Initial Conditions on the Postcritical Behavior of a Nonlinear Aeroelastic System	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1008204409853	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1008204409853	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	The behavior of a nonlinear, non-Hamiltonian system in the postcritical (flutter) domain is studied with special attention to the influence of initial conditions on the properties of attractors situated at a certain point of the control parameter space. As a prototype system, an elastic panel is considered that is subjected to a combination of supersonic gas flow and quasistatic loading in the middle surface. A two natural modes approximation, resulting in a four-dimensional phase space and several control parameters is considered in detail. For two fixed points in the control parameter space, several plane sections of the four-dimensional space of initial conditions are presented and the asymptotic behavior of the final stationary responses are identified. Amongst the latter there are stable periodic orbits, both symmetric and asymmetric with respect to the origin, as well as chaotic attractors. The mosaic structure of the attraction basins is observed. In particular, it is shown that even for neighboring initial conditions can result in distinctly different nonstationary responses asymptotically approach quite different types of attractors. A number of closely neighboring periodic attractors are observed, separated by Hopf bifurcations. Periodic attractors also are observed under special initial conditions in the domains where chaotic behavior is usually expected.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	Nonlinear Dynamics	en
dc.identifier.doi	10.1023/A:1008204409853	en
dc.identifier.isi	ISI:000072342700004	en
dc.identifier.volume	15	en
dc.identifier.issue	1	en
dc.identifier.spage	63	en
dc.identifier.epage	81	en