| 一种确定无网格法权函数影响域的新方法 |
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| 引用本文： | 熊勇刚,杨小娟,陈莘莘,谭建平.一种确定无网格法权函数影响域的新方法[J].重庆工学院学报,2008,22(7). |
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| 作者姓名： | 熊勇刚 杨小娟 陈莘莘 谭建平 |
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| 作者单位： | 中南大学机电学院，中南大学机电学院，湖南工业大学机械学院，中南大学机电学院 长沙410083，湖南工业大学机械学院，湖南株洲412008，长沙410083，湖南工业大学机械学院，湖南株洲412008，湖南株洲412008，长沙410083 |
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| 摘 要： | 提出了一种无网格法效率的简略量化计算公式;然后在区间数学的理论基础上,视影响域和无网格计算误差为一区间变量,以RKPM无网格计算误差为约束函数,计算效率为目标函数,结合线性规划的思想探求a最佳取值;用Matlab编写了程序,计算得到影响域的最佳值a=6;将此法应用于无网格RKPM法建立铸轧辊弹性变形计算.算例显示,该方法是可行而有效的,消除了影响域半径对计算效率和精度的影响,突破了经验法的局限性.
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| 关 键 词： | 影响域 区间数学 线性规划 a最佳取值 |
A New Method to Define Influence Domain of Weight Function in Meshfree Methods |
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| XIONG Yong-gang,YANG Xiao-juan,CHEN Shen-shen,TAN Jian-ping.A New Method to Define Influence Domain of Weight Function in Meshfree Methods[J].Journal of Chongqing Institute of Technology,2008,22(7). |
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| Authors: | XIONG Yong-gang YANG Xiao-juan CHEN Shen-shen TAN Jian-ping |
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| Affiliation: | XIONG Yong-gang1,2,YANG Xiao-juan1,2,CHEN Shen-shen2,TAN Jian-ping1 |
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| Abstract: | A computational formula for efficiency of meshfree method is put forward.Under the principle of interval math,optimal value of is explored by taking influence domain and the meshfree computational error as an interval variable, RKPM meshfree computational error as constraint function,and computational efficiency as objective function.The optimal radius influence domain is obtained,,by programming with Matlab.The new method is applied to establish the model of the roller of elastic deformation based on rigid-plastic RKPM mesh free method.Examples show that this method is feasible and effective,eliminating the effect of influence domain on computation efficiency and precision and breaking through the limitations of empiricism. |
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| Keywords: | influence domain interval math linear programming optimal value of a |
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