A study on the instability problem for 3D frames

Meek J.L. and Xue Q. (1998) A study on the instability problem for 3D frames. Computer Methods in Applied Mechanics and Engineering, 158 3-4: 235-254.

Author Meek J.L.
Xue Q.
Title A study on the instability problem for 3D frames
Journal name Computer Methods in Applied Mechanics and Engineering   Check publisher's open access policy
ISSN 0045-7825
Publication date 1998
Sub-type Article (original research)
Volume 158
Issue 3-4
Start page 235
End page 254
Total pages 20
Subject 1706 Computer Science Applications
2206 Computational Mechanics
Abstract Instead of the traditional load-following process, this paper presents large deflection, post-buckling analysis of the three-dimensional elastic frame from a dynamic point of view. 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 employs the constant arc length method together with the modified Newton-Raphson iteration method and the extrapolation technique to improve the convergence behaviour. As the limit state being examined is passed, the previous converged solution is adopted to start the nonlinear dynamic analysis, based on the average acceleration of the Newmark algorithm 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 damping coefficients on the control of displacement overshooting and vibration, which are the common phenomena using this procedure under conventional structural damping, is also studied and applied to all the numerical examples. This study is demonstrated by application to typical three-dimensional frames which show snap-through behaviour in static analysis with any increment of load after the limit point.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import
 
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