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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

Full Bibliographic Reference for this paper
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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