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求解摩擦接触问题的一个非内点光滑化算法

张洪武 何素艳 李兴斯

张洪武, 何素艳, 李兴斯. 求解摩擦接触问题的一个非内点光滑化算法[J]. 应用数学和力学, 2004, 25(1): 42-52.
引用本文: 张洪武, 何素艳, 李兴斯. 求解摩擦接触问题的一个非内点光滑化算法[J]. 应用数学和力学, 2004, 25(1): 42-52.
ZHANG Hong-wu, HE Su-yan, LI Xing-si. Non-Interior Smoothing Algorithm for Frictional Contact Problems[J]. Applied Mathematics and Mechanics, 2004, 25(1): 42-52.
Citation: ZHANG Hong-wu, HE Su-yan, LI Xing-si. Non-Interior Smoothing Algorithm for Frictional Contact Problems[J]. Applied Mathematics and Mechanics, 2004, 25(1): 42-52.

求解摩擦接触问题的一个非内点光滑化算法

基金项目: 国家基础性研究专项基金(G1999032805)
详细信息
    作者简介:

    张洪武(1964- ),男,辽宁大连人,教授,工程力学博士,博士生导师(联系人.Tel:86-411-4706249;E-mail:zhanghw@dlut.edu.cn).

  • 中图分类号: O221;O242.21

Non-Interior Smoothing Algorithm for Frictional Contact Problems

  • 摘要: 给出了一个求解三维弹性有摩擦接触问题的新算法,即基于NCP函数的非内点光滑化算法.首先通过参变量变分原理和参数二次规划法,将三维弹性有摩擦接触问题的分析归结为线性互补问题的求解;然后利用NCP函数,将互补问题的求解转换为非光滑方程组的求解;再用凝聚函数对其进行光滑化,最后用NEWTON法解所得到的光滑非线性方程组.方法具有易于理解及实现方便等特点.通过线性互补问题的数值算例及接触问题实例证实了该算法的可靠性与有效性.
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出版历程
  • 收稿日期:  2002-06-09
  • 修回日期:  2003-09-03
  • 刊出日期:  2004-01-15

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