NON-INTERIOR SMOOTHING ALGORITHM FOR FRICTIONAL CONTACT PROBLEMS

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NON-INTERIOR SMOOTHING ALGORITHM FOR FRICTIONAL CONTACT PROBLEMS

A new algorithm for solving the three-dimensional elastic contact problem with friction is presented. The algorithm is a non-interior smoothing algorithm based on an NCPfunction. The parametric variational principle and parametric quadratic programming method were applied to the analysis of three-dimensional frictional contact problem. The solution of the contact problem was finally reduced to a linear complementarity problem, which was reformulated as a system of nonsmooth equations via an NCP-function. A smoothing approximation to the nonsmooth equations was given by the aggregate function. A Newton method was used to solve the resulting smoothing nonlinear equations. The algorithm presented is easy to understand and implement. The reliability and efficiency of this algorithm are demonstrated both by the numerical experiments of LCP in mathematical way and the examples of contact problems in mechanics.水利论文5MK7baa FJ!Za

作 者: 张洪武 何素艳 李兴斯  
作者单位:State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, P.R. China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2004 25(1) 
分类号:O221 O242.21 
关键词:three-dimensional frictional contact problem   parametic quadratic programming method   linear complementarity problem   NCP-function   aggregate function   non-interior smoothing algorithm  
机标关键词:CONTACT PROBLEMSfrictional contact problemnonsmooth equationslinear complementarity problemquadratic programming methodsmoothing approximationvariational principlenumerical experimentssmoothing algorithmnonlinear equationsaggregate functioncontact problemsNewton methodnew algorithm 
基金项目:国家重点基础研究发展计划(973计划) 
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