On the nonlinear dynamic buckling mechanism of autonomous dissipative/nondissipative discrete structural systems

Kounadis, AN

dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:12:09Z
dc.date.available	2014-03-01T01:12:09Z
dc.date.issued	1996	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11977
dc.subject	Autonomous	en
dc.subject	Dissipative	en
dc.subject	Dynamic buckling	en
dc.subject	Nonlinear	en
dc.subject.classification	Mechanics	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Dynamic loads	en
dc.subject.other	Equations of motion	en
dc.subject.other	Lagrange multipliers	en
dc.subject.other	Mathematical models	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Phase space methods	en
dc.subject.other	System stability	en
dc.subject.other	Topology	en
dc.subject.other	Discrete structural systems	en
dc.subject.other	Impact loading	en
dc.subject.other	Nonlinear dynamic buckling	en
dc.subject.other	Potential energy	en
dc.subject.other	Buckling	en
dc.title	On the nonlinear dynamic buckling mechanism of autonomous dissipative/nondissipative discrete structural systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00803674	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00803674	en
heal.language	English	en
heal.publicationDate	1996	en
heal.abstract	Nonlinear dynamic buckling of nonlinearly elastic dissipative/nondissipative multi-mass systems, mainly under step load of infinite duration, is studied in detail. These systems, under the same loading applied statically, experience a limit point instability. The analysis can be readily extended to the case of dynamic buckling under impact loading. Energy, topological and geometrical aspects for the total potential energy V, which is constrained to lie in a region of phase-space where V less than or equal to 0, allow conclusions to be drawn directly regarding dynamic buckling. Criteria leading to very good, approximate and lower/upper bound dynamic buckling estimates are readily established without solving the highly nonlinear set of equations of motion. The theory is illustrated with several analyses of a two-degree-of-freedom model.	en
heal.publisher	SPRINGER VERLAG	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/BF00803674	en
dc.identifier.isi	ISI:A1996UX30100003	en
dc.identifier.volume	66	en
dc.identifier.issue	6	en
dc.identifier.spage	395	en
dc.identifier.epage	408	en