Non-linear dynamic stability of a simple floating bridge model

Kounadis, AN; Mahrenholtz, O; Bogaez, R

dc.contributor.author	Kounadis, AN	en
dc.contributor.author	Mahrenholtz, O	en
dc.contributor.author	Bogaez, R	en
dc.date.accessioned	2014-03-01T01:08:03Z
dc.date.available	2014-03-01T01:08:03Z
dc.date.issued	1990	en
dc.identifier.issn	0020-1154	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10259
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	Dynamics	en
dc.subject.other	Mathematical Models	en
dc.subject.other	Pontoons	en
dc.subject.other	Structural Analysis	en
dc.subject.other	Floating Bridges	en
dc.subject.other	Fluid-Structure Interaction	en
dc.subject.other	Nonlinear Dynamic Stability	en
dc.subject.other	Bridges	en
dc.title	Non-linear dynamic stability of a simple floating bridge model	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00577863	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00577863	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	This paper deals with a simple fluid-structure interaction problem of floating bridges under step loading with main emphasis on the non-linear dynamic stability of the structure itself after been simulated by a simple discrete mechanical model. The analysis concerns systems which under the same loading applied statically experience a limit point instability. On the basis of a theoretical discussion of the non-linear response of a single degree-of-freedom model simple conditions for an unbounded motion associated with dynamic buckling have been properly established. According to these conditions one can determine the exact dynamic buckling load without solving the strongly non-linear differential equation of motion. Such a load corresponds to that equilibrium point of the unstable (static) post-buckling path for which the total potential energy of the model becomes zero, while at the same time its second variation is negative definite. This load is also a lower bound in case that damping is included in the analysis. The foregoing conditions of static evaluation of the dynamic buckling load do not hold, in general, for limit point systems of two degres of freedom. The above theoretical predictions have been confirmed by means of numerical integration of the correspending non-linear equation of motion. © 1990 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Ingenieur-Archiv	en
dc.identifier.doi	10.1007/BF00577863	en
dc.identifier.isi	ISI:A1990DC53700006	en
dc.identifier.volume	60	en
dc.identifier.issue	4	en
dc.identifier.spage	262	en
dc.identifier.epage	273	en