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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 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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