安定下限问题的数值建模

Numerical Modeling and Analysis on Lower Bound Shakedown Problems

在阐述的现有安定分析理论的基础上,用ANSYS的APDL语言编程来控制分析过程,得到最佳残余应力场,从而实现了用大型有限元商业软件结构安定分析的途径。并评述了该分析方法的优缺点,进一步研究了结构的拓扑形式和载荷作用分布的变化而对安定问题的影响,明确了它们的作用机理,数值结果表明该方法用于结构安定分析是可行的。

Based on the lower bound shakedown theorems, the APDL programme language was used here to control the process of the analysis in order to achieve the best residual stress field. It is successful to use the large FEM business software to implement the shakedown analysis. The virtue and the disadvantage of this method was summarized and a further research was made on the influence on the shakedown problems and the action mechanism was attained when the structural topology and the load action range was varied. Finally it was proved that the method present in this paper was effective.