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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 43
ADVANCES IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping
Paper V.4

Non-Linear Dynamic Analysis on the Snap-through of 2D-Frames

J.L. Meek and Q. Xue

Civil Engineering Department, The University of Queensland, Australia

Full Bibliographic Reference for this paper
J.L. Meek, Q. Xue, "Non-Linear Dynamic Analysis on the Snap-through of 2D-Frames", in B.H.V. Topping, (Editor), "Advances in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 109-114, 1996. doi:10.4203/ccp.43.5.4
Abstract
This paper presents large deflection and post-buckling analysis of the two dimensional elastic frame from a dynamic point of view without down loading. A co-rotational formulation combined with small deflection beam theory with the inclusion of the effect of axial force is adopted. The pre-buckling analysis is carried out based on a constant arc length control method and the modified Newton-Raphson method with extrapolation techniques for improving the convergence behaviour. The Newmark algorithm of average acceleration is adopted in the nonlinear dynamic analysis with a slow rate of load incrementation to trace the load-deflection path beyond the limit point. As a result, the snap through problem is overcome without down loading. The efficiency of the method proposed in this study is demonstrated by typical two dimensional frames which show snap through behaviour in static analysis with any increment of load after the limit point. Only two of them is presented in this paper. The theory developed herein is now being applied to space structures.

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