Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (8): 913-921.

• 论文 • 上一篇    下一篇

UNILATERAL CONTACT PROBLEMS USING QUASI-ACTIVE SET STRATEGY

宣兆成1, 李兴斯2   

  1. 1. School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, P. R. China;
    2. Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P. R. China
  • 收稿日期:2000-03-09 修回日期:2002-04-01 出版日期:2002-08-18 发布日期:2002-08-18
  • 基金资助:
    the National Natural Science Foundation of China(59775065)

UNILATERAL CONTACT PROBLEMS USING QUASI-ACTIVE SET STRATEGY

XUAN Zhao-cheng1, LI Xing-si 2   

  1. 1. School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, P. R. China;
    2. Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian 116024, P. R. China
  • Received:2000-03-09 Revised:2002-04-01 Online:2002-08-18 Published:2002-08-18
  • Supported by:
    the National Natural Science Foundation of China(59775065)

摘要: The unilateral contact problem can be formulated as a mathematical programming with inequality constraints. To resolve the difficulty in dealing with inequality constraints, a quasi-active set strategy algorithm was presented. At each iteration, it transforms the problem into one without contact in terms of the solution obtained in last iteration and initiates the current iteration using the solution of the transformed problem, and updates a group of contact pairs compared with Lemke algorithm that uqdates only one pair of contact points. The present algorithm greatly enhances the efficiency and numerical examples demonstrate the effectiveness and robustness of the proposed algorithm.

Abstract: The unilateral contact problem can be formulated as a mathematical programming with inequality constraints. To resolve the difficulty in dealing with inequality constraints, a quasi-active set strategy algorithm was presented. At each iteration, it transforms the problem into one without contact in terms of the solution obtained in last iteration and initiates the current iteration using the solution of the transformed problem, and updates a group of contact pairs compared with Lemke algorithm that uqdates only one pair of contact points. The present algorithm greatly enhances the efficiency and numerical examples demonstrate the effectiveness and robustness of the proposed algorithm.

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