A geometric approach for establishing dynamic buckling loads of autonomous potential two-degree-of-freedom systems

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:14:18Z
dc.date.available	2014-03-01T01:14:18Z
dc.date.issued	1999	en
dc.identifier.issn	0021-8936	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12987
dc.subject	Geometric Approach	en
dc.subject	Two Degree of Freedom	en
dc.subject.classification	Mechanics	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Initial value problems	en
dc.subject.other	Mathematical models	en
dc.subject.other	Potential energy	en
dc.subject.other	Problem solving	en
dc.subject.other	Structural loads	en
dc.subject.other	Energy balance equation	en
dc.subject.other	Nondissipative systems	en
dc.subject.other	Buckling	en
dc.title	A geometric approach for establishing dynamic buckling loads of autonomous potential two-degree-of-freedom systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1115/1.2789169	en
heal.identifier.secondary	http://dx.doi.org/10.1115/1.2789169	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	Nonlinear dynamic buckling of autonomous potential two-degree-of-freedom nondissipative systems with static unstable critical points lying on nonlinear primary equilibrium paths is studied via a geometric approach. This is based on certain salient properties of the zero level total potential energy ""surface"" which in conjunction with the total energy-balance equation allow establishment of new dynamic buckling criteria for planar systems. These criteria yield readily obtained ""exact"" dynamic buckling loads without solving the highly nonlinear initial-value problem. The simplicity, reliability, and efficiency of the proposed technique is illustrated with the aid of various dynamic buckling analyses of two two-degree-of-freedom models which are also compared with those obtained by the Verner-Runge-Kutta scheme. Copyright © 1999 by ASME.	en
heal.publisher	ASME-AMER SOC MECHANICAL ENG	en
heal.journalName	Journal of Applied Mechanics, Transactions ASME	en
dc.identifier.doi	10.1115/1.2789169	en
dc.identifier.isi	ISI:000079883900007	en
dc.identifier.volume	66	en
dc.identifier.issue	1	en
dc.identifier.spage	55	en
dc.identifier.epage	61	en