| Mathematical Programming Solution for the Frictional Contact Muitipole BEM |
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| 作者姓名： | 于春肖 申光宪 刘德义 |
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| 作者单位： | [1]CollegeofScience,YanshanUniversity,Qinhuangdao066004,China [2]CollegeofMechanicalEngineering,YanshanUniversity,Qinhuangdao066004,China |
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| 摘 要： | This paper presents a new mathematical model for the highly nonlinear problem of frictional contact. A programming model, multipole boundary element method (BEM), was developed for 3-D elastic contact with friction to replace the Monte Carlo method. A numerical example shows that the optimization programming model for the point-to-surface contact with friction and the fast optimization generalized minimal residual algorithm (GMRES(m)) significantly improve the analysis of such problems relative to the conventional BEM.
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| 关 键 词： | 数学规划 摩擦接触问题 多级边界元方法 广义最小残差算法 点面接触 |
| 收稿时间： | 10 August 2004 |
| 修稿时间： | 31 August 2004. |
Mathematical Programming Solution for the Frictional Contact Multipole BEM |
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| Chunxiao Yu, î&#x;&#x;, Guangxian Shen, &#x;&#x;ப,Deyi Liu, &#x;û.Mathematical Programming Solution for the Frictional Contact Muitipole BEM[J].Tsinghua Science and Technology,2005,10(1):51-56. |
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| Authors: | Chunxiao Yu î&#x;&#x; Guangxian Shen &#x;&#x;ப Deyi Liu &#x;û |
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| Institution: | aCollege of Science, Yanshan University, Qinhuangdao 066004, China;bCollege of Mechanical Engineering, Yanshan University, Qinhuangdao 066004, China |
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| Abstract: | This paper presents a new mathematical model for the highly nonlinear problem of frictional contact. A programming model, multipole boundary element method (BEM), was developed for 3-D elastic contact with friction to replace the Monte Carlo method. A numerical example shows that the optimization programming model for the point-to-surface contact with friction and the fast optimization generalized minimal residual algorithm (GMRES(m)) significantly improve the analysis of such problems relative to the conventional BEM. |
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| Keywords: | nonlinear programming generalized minimal residual algorithm (GMRES(m)) point-to-surface contact multipole boundary element method |
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