The effects of non-linearities and compressibility on the static and dynamic critical load of non-conservative discrete systems

Sotiropoulos, SN; Kounadis, AN

dc.contributor.author	Sotiropoulos, SN	en
dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:40:07Z
dc.date.available	2014-03-01T01:40:07Z
dc.date.issued	1990	en
dc.identifier.issn	00201154	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/23064
dc.subject.other	Dynamics	en
dc.subject.other	Elasticity	en
dc.subject.other	Kinetics	en
dc.subject.other	System Stability	en
dc.subject.other	Compressibility	en
dc.subject.other	Dynamic Critical Loads	en
dc.subject.other	Nonconservative Discrete Systems	en
dc.subject.other	Nonlinearities	en
dc.subject.other	Static Critical Loads	en
dc.subject.other	Structural Analysis	en
dc.title	The effects of non-linearities and compressibility on the static and dynamic critical load of non-conservative discrete systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00542569	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00542569	en
heal.publicationDate	1990	en
heal.abstract	The non-linear static and dynamic stability of a non-linearly elastic, two degree of freedom system under a partial follower load is thoroughly discussed. Conditions for divergence and flutter instability in the large, in the sense of Lagrange, are established. These conditions may be completely different from those corresponding to linearized analyses. It is found that the static method of analysis is applicable for the entire range of the non- conservativeness loading parameter provided that the material non-linearity is accounted for. The stability or instability of critical states depends on the amount of material non-linearity. The unexpected result that the non-linear static critical load may differ substantially from the corresponding non-linear dynamic critical load is deduced with the aid of a numerical integration of the original non-linear equations of motion. The effects of compressibility as well as of other parameters on such a difference are properly examined. New phenomena which contradict well-known results based on linearized analyses reveal the true instability mechanism of non-conservative systems © 1990 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Ingenieur-Archiv	en
dc.identifier.doi	10.1007/BF00542569	en
dc.identifier.volume	60	en
dc.identifier.issue	6	en
dc.identifier.spage	399	en
dc.identifier.epage	409	en