| 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].燕山大学学报,2012,36(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，河北省教育厅重点资助项目 |
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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
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YU Hai-yuan
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CHEN Yi-ming.2nd model building and numerical optimization using FM-BEM for contact problems[J].Journal of Yanshan University,2012,36(3):265-268. |
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| Authors: | YU Chun-xiao YU Hai-yuan CHEN Yi-ming |
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| Institution: | (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 frictional 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 introducing 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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