A study on the instability problem for 2D-frames
| Autor: | Qiang Xue, John L. Meek |
|---|---|
| Rok vydání: | 1996 |
| Předmět: |
Timoshenko beam theory
Iterative method Mechanical Engineering Numerical analysis Mathematical analysis Computational Mechanics Extrapolation General Physics and Astronomy Finite element method Computer Science Applications symbols.namesake Mechanics of Materials Deflection (engineering) Limit point symbols Newton's method Mathematics |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering. 136:347-361 |
| ISSN: | 0045-7825 |
| Popis: | This paper presents large deflection, post-buckling analysis of the two-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. An increment iterative method based on the modified Newton-Raphson method and extrapolation techniques for improving the convergence behaviour combined with a constant arc length control method is employed for the solution of the non-linear equilibrium equations before the limit point. A non-linear dynamic analysis based on the average acceleration of the Newmark algorithm with a slow rate of load incrementation is carried out 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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