| NON-INTERIOR SMOOTHING ALGORITHM FOR FRICTIONAL CONTACT PROBLEMS |
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| 作者姓名： | 张洪武 何素艳 李兴斯 |
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| 作者单位： | StateKeyLaboratoryofStructuralAnalysisofIndustrialEquipment,DalianUniversityofTechnology,Dalian116024,P.R.China |
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| 基金项目： | theNationalKeyBasicResearchNaturalSpecialFoundationofChina(G1 9990 3 2 80 5) |
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| 摘 要： | 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 NCP-function. 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.
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| 关 键 词： | NCP-函数 光滑算法 集成功能 参数变化原则 弹性接触 摩擦接触 |
| 收稿时间： | 9 June 2002 |
Non-interior smoothing algorithm for frictional contact problems |
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| Hong-wu,Zhang,Su-yan,He,Xing-si,Li.NON-INTERIOR SMOOTHING ALGORITHM FOR FRICTIONAL CONTACT PROBLEMS[J].Applied Mathematics and Mechanics(English Edition),2004,25(1):47-58. |
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| Authors: | Hong-wu Zhang Su-yan He Xing-si Li |
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| Institution: | State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, P.R. China |
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| Abstract: | 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 NCP-function. 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. |
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| Keywords: | three-dimensional frictional contact problem parametic quadratic programming method linear complementarity problem NCP-function aggregate function non-interior smoothing algorithm |
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