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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 54
ADVANCES IN FINITE ELEMENT PROCEDURES AND TECHNIQUES Edited by: B.H.V. Topping
Paper VIII.1
Non-Linear Buckling Response of a Conical Shell Panel G.T. Michaltsos, D.S. Sophianopoulos and T.G. Konstandakopoul
Institute for Structural Analysis and Steel Bridges, National Technical University of Athens, Athens, Greece G.T. Michaltsos, D.S. Sophianopoulos, T.G. Konstandakopoul, "Non-Linear Buckling Response of a Conical Shell Panel", in B.H.V. Topping, (Editor), "Advances in Finite Element Procedures and Techniques", Civil-Comp Press, Edinburgh, UK, pp 239-246, 1998. doi:10.4203/ccp.54.8.1
Abstract
In this study the non-linear static, as well as dynamic,
response of a conical shell panel, is simulated via a spring-mass,
geometrically imperfect dissiptive model, with three
degrees of freedom. The red structure experiences in the
most common cases a limit point instability implying
dynamic snap-through buckling, a feature which is
successfully captured by the proposed model. Under a step
loading of infinite duration the system buckles dynamically
through a saddle (or its neighbourhood) of the unstable
postbuckling physical equilibrium path, exhibiting in the
presence of damping a point attractor response (bounded
motion), on remote stable equilibrium positions. The
criterion of zero total potential energy, yields very good
(lower bound) dynamic buckling estimates with great
importance for structural design purposes.
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