Dynamic stability of imperfect frames under joint displacements

Sophianopoulos, DS; Kounadis, AN

dc.contributor.author	Sophianopoulos, DS	en
dc.contributor.author	Kounadis, AN	en
dc.date.accessioned	2014-03-01T01:09:51Z
dc.date.available	2014-03-01T01:09:51Z
dc.date.issued	1994	en
dc.identifier.issn	0733-9399	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11215
dc.subject	Dynamic Stability	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Buckling	en
dc.subject.other	Dynamic loads	en
dc.subject.other	Dynamic response	en
dc.subject.other	Equations of motion	en
dc.subject.other	Numerical methods	en
dc.subject.other	Structural analysis	en
dc.subject.other	System stability	en
dc.subject.other	Axial joint displacements	en
dc.subject.other	Galerkin's method	en
dc.subject.other	Seventh order Runge Kutta Verner scheme	en
dc.subject.other	Two bar geometrically imperfect frame	en
dc.subject.other	Structural frames	en
dc.title	Dynamic stability of imperfect frames under joint displacements	en
heal.type	journalArticle	en
heal.identifier.primary	10.1061/(ASCE)0733-9399(1994)120:8(1661)	en
heal.identifier.secondary	http://dx.doi.org/10.1061/(ASCE)0733-9399(1994)120:8(1661)	en
heal.language	English	en
heal.publicationDate	1994	en
heal.abstract	In this investigation a nonlinear dynamic-stability analysis is performed on a two-bar geometrically imperfect frame subjected to an axial displacement of its joint, either suddenly applied or time dependent. The dynamic response of the frame is governed by a coupled system of two one-dimensional partial differential equations for the axial and lateral motion of each bar. One and two-mode solutions are thoroughly discussed for various geometric configurations of the frame. Dynamic buckling occurs when the corresponding frame under static loading loses its stability through a limit point. This happens for initial bar curvatures above a certain critical value; below this value the frame is dynamically stable. Numerical results are obtained by using Galerkin's method in connection with the seventh-order Runge-Kutta-Verner scheme with appropriate step size. The results of the one-mode solution are found to be in excellent agreement with those of previous analyses.	en
heal.publisher	Publ by ASCE, New York, NY, United States	en
heal.journalName	Journal of Engineering Mechanics	en
dc.identifier.doi	10.1061/(ASCE)0733-9399(1994)120:8(1661)	en
dc.identifier.isi	ISI:A1994NY32600004	en
dc.identifier.volume	120	en
dc.identifier.issue	8	en
dc.identifier.spage	1661	en
dc.identifier.epage	1674	en