Nonlinear stability of simplified structural models simulating elastic shell panels of revolution under step loading

Sophianopoulos, DS

dc.contributor.author	Sophianopoulos, DS	en
dc.date.accessioned	2014-03-01T01:16:48Z
dc.date.available	2014-03-01T01:16:48Z
dc.date.issued	2001	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14229
dc.subject	structural models	en
dc.subject	dynamic snap-through	en
dc.subject	point attractors	en
dc.subject	global stability	en
dc.subject	shells of revolution	en
dc.subject.classification	Mechanics	en
dc.subject.other	Buckling	en
dc.subject.other	Computer simulation	en
dc.subject.other	Continuum mechanics	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Dynamic loads	en
dc.subject.other	Energy dissipation	en
dc.subject.other	Mass transfer	en
dc.subject.other	Mathematical models	en
dc.subject.other	Potential energy	en
dc.subject.other	Shells (structures)	en
dc.subject.other	Structural analysis	en
dc.subject.other	System stability	en
dc.subject.other	Elastic shell panels	en
dc.subject.other	Simplified structural models	en
dc.subject.other	Structural panels	en
dc.title	Nonlinear stability of simplified structural models simulating elastic shell panels of revolution under step loading	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0020-7683(00)00062-7	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0020-7683(00)00062-7	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	The present investigation deals with the nonlinear analysis of the dynamic buckling response and global stability aspects of two 3-DOF spring-mass, initially imperfect dissipative simplified structural models under step loading, simulating elastic shell panels of revolution and in particular a spherical cap and a conical panel. It is found that snapping, which is the main characteristic of the actual continuous structures, is successfully captured by the proposed simulations, which following a straightforward nonlinear approach are found to exhibit dynamic snap-through buckling, associated with a point attractor response in the large, implying global stability. Furthermore, the presence of physically not accepted complementary equilibrium configurations does not affect the long term response of the autonomous systems dealt with, but only complicates the motion and elongates the time before the final steady state. Finally, the criterion of zero total potential energy yields excellent lower bounds of the exact dynamic buckling loads, very important for structural design purposes. (C) 2001 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	Elsevier Science Ltd, Exeter, United Kingdom	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/S0020-7683(00)00062-7	en
dc.identifier.isi	ISI:000166384800010	en
dc.identifier.volume	38	en
dc.identifier.issue	5	en
dc.identifier.spage	915	en
dc.identifier.epage	934	en