| 摩擦接触系统多极边界元法二次建模与数值优化 |
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| 引用本文： | 于春肖,于海源,陈一鸣. 摩擦接触系统多极边界元法二次建模与数值优化[J]. 东北重型机械学院学报, 2012, 0(3): 265-268 |
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| 作者姓名： | 于春肖 于海源 陈一鸣 |
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| 作者单位： | 燕山大学理学院,河北秦皇岛066004 |
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| 基金项目： | 河北省自然科学基金资助项目（A2012203047）; 河北省教育厅重点资助项目（ZD2010116） |
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| 摘 要： | 讨论了摩擦接触系统的建模与求解问题。将系统方程组的多极边界元法求解归结为变分问题并证明其等价性。在系统最优化数学模型的基础上,通过引入严格凸二次函数建立系统的二次规划模型,证明其最优解存在且唯一,并给出模型求解的最优性条件。
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| 关 键 词： | 变分问题 二次规划模型 存在唯一性 最优性条件 |
2nd model building and numerical optimization using FM-BEM for contact problems |
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| YU Chun-xiao,YU Hai-yuan,CHEN Yi-ming. 2nd model building and numerical optimization using FM-BEM for contact problems[J]. , 2012, 0(3): 265-268 |
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| Authors: | YU Chun-xiao YU Hai-yuan CHEN Yi-ming |
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| Affiliation: | (College of Sciences, Yanshan University, Qinhuangdao, Hebei 066004, China) |
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| Abstract: | Model building and Fast Multipole Boundary Element Method （FM-BEM） solution are studied for the flictional contact system. The solution of the system of equations is reduced to a variational problem. They are proved to be equivalent. On the basis of the optimization mathematical model for the frictional contact system, a quadratic programming model is established by intro- ducing a strictly convex quadratic function. Its optimum solution is demonstrated to be existent and unique. In addition, optimality conditions are presented for the new model. |
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| Keywords: | variational problem quadratic programming model existence and uniqueness optimality condition |
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