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从规划法求解看有摩擦接触解的不唯一性
引用本文:张洪武. 从规划法求解看有摩擦接触解的不唯一性[J]. 应用力学学报, 1996, 13(4): 20-21
作者姓名:张洪武
作者单位:大连理工大学力学所
基金项目:国家“八五”攻关项目资助,国家自然科学基金
摘    要:
以单点接触问题为例研究了有摩擦接触问题的几个特点,给出了这类问题出现不唯一解的条件。进而从二次规划求解角度分析了解的不稳定性与不唯一性的数学原理,文中给出了规划法求解有摩擦接触问题应注意的问题

关 键 词:规划法;接触分析;有限元

Ununique Solution Research for Frictional Contact Problems Based on Programming Method
Zhang Hongwu Zhong Wanxie. Ununique Solution Research for Frictional Contact Problems Based on Programming Method[J]. Chinese Journal of Applied Mechanics, 1996, 13(4): 20-21
Authors:Zhang Hongwu Zhong Wanxie
Abstract:
In this paper, some properties of the frictional contact problems are researched by means of a simple one node contact problem, and the conditions for ununique solutions are discussed. The reasons for the existing of ununique and unstable solutions are also discussed in terms of the quadratic programming method. The problems, which need to be noticed when the programming method is adopted, are given. The examples of reasonable and unreasonable ray solutions are shown.
Keywords:programming method   contact analysis   finite element.  
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