Energy-based dynamic buckling estimates for autonomous dissipative systems

Gantes, C; Kounadis, AN

dc.contributor.author	Gantes, C	en
dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:10:57Z
dc.date.available	2014-03-01T01:10:57Z
dc.date.issued	1995	en
dc.identifier.issn	0001-1452	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11516
dc.subject	Dissipative System	en
dc.subject.classification	Engineering, Aerospace	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Computer simulation	en
dc.subject.other	Damping	en
dc.subject.other	Deformation	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Dynamic response	en
dc.subject.other	Efficiency	en
dc.subject.other	Mathematical models	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Problem solving	en
dc.subject.other	Reliability	en
dc.subject.other	Structural loads	en
dc.subject.other	Asymmetric bifurcation point	en
dc.subject.other	Autonomous dissipative systems	en
dc.subject.other	Energy based dynamic buckling	en
dc.subject.other	Lower/upper bound estimates	en
dc.subject.other	Nonlinear initial value problem	en
dc.subject.other	Step loading	en
dc.subject.other	Buckling	en
dc.title	Energy-based dynamic buckling estimates for autonomous dissipative systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.2514/3.12797	en
heal.identifier.secondary	http://dx.doi.org/10.2514/3.12797	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	The dynamic buckling global response of a nonlinear, 3-degree-of-freedom dissipative model under a step loading of infinite duration is thoroughly discussed. Geometrically imperfect models with symmetric or antisymmetric imperfections losing their static stability through a limit point and an asymmetric bifurcation point, respectively, are considered. Emphasis is given to the combined effect of nonlinearities (geometric and/or material) and damping. Exact, approximate, and lower/upper bound estimates based on energy criteria for establishing the dynamic buckling response of such autonomous models without solving the highly nonlinear initial-value problem are assessed. The reliability and efficiency of the proposed readily obtained estimates is illustrated via numerical simulation, the accuracy of which is checked using energy balanced considerations. Certain interesting byproducts associated with a postlimit point bifurcation and breakdown of the symmetry of deformation are also revealed.	en
heal.publisher	AIAA, Washington, DC, United States	en
heal.journalName	AIAA journal	en
dc.identifier.doi	10.2514/3.12797	en
dc.identifier.isi	ISI:A1995RG31900022	en
dc.identifier.volume	33	en
dc.identifier.issue	7	en
dc.identifier.spage	1342	en
dc.identifier.epage	1349	en