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极限分析的改进迭代方法

An Iterative Algorithm for limit Analysis of Plane Proplems

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【作者】 沈卫平

【Author】 Shen Weiping (Shanghai Jiaotong University)

【机构】 上海交通大学

【摘要】 本文在文[1—4]的基础上,提出了一种改进的迭代计算方法。应用这种方法,在求得应力场和荷载乘子下限的同时,可求得相应的位移、应变场模式和荷载乘子上限,数次迭代后收敛于正确值。这种方法应用于平面应力问题的极限分析已在计算机上实现。

【Abstract】 This paper deals with a new iterative algorithm for limit analysis of plane problems which is based on the new lower bound theorem proposed by Chinese professor Zhong Wanxie in 1982. With the new method the lower bound of stress fields and load multipliers can be calculated while the corresponding replacement, the stress field mode and the upper bound of load multipliers can also be obtained, which converges to the right value after several iterations. This method has been used in computers for limit analysis of plane stress problems.

  • 【被引频次】22
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