| 点插值无网格法在弹性力学中的应用 |
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| 引用本文： | 聂旭涛,范大鹏.点插值无网格法在弹性力学中的应用[J].机械强度,2007,29(1):135-138. |
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| 作者姓名： | 聂旭涛 范大鹏 |
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| 作者单位： | 国防科技大学,机电工程与自动化学院,长沙,410073 |
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| 摘 要： | 点插值法是一种新型的无网格法,它改善了其他无网格方法中形函数计算复杂、本质边界条件处理困难等问题.文中分析点插值法的计算原理,给出其在弹性问题中的应用,并与有限元法以及移动最小二乘法进行比较.结果表明,点插值法具有计算速度较快、精度较高以及本质边界处理相对简单等优点.
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| 关 键 词： | 点插值法 无网格法 有限元法 移动最小二乘 点插值法 无网格法 弹性力学 应用 PROBLEMS MECHANICS ELASTICITY MESHLESS METHODS INTERPOLATION 边界处理 精度 计算速度 结果 比较 乘法 最小 移动 有限元法 弹性问题 计算原理 |
| 修稿时间： | 2005-06-142005-07-05 |
APPLICATION OF POINTS INTERPOLATION MESHLESS METHODS TO ELASTICITY MECHANICS PROBLEMS |
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| NIE XuTao,FAN DaPeng.APPLICATION OF POINTS INTERPOLATION MESHLESS METHODS TO ELASTICITY MECHANICS PROBLEMS[J].Journal of Mechanical Strength,2007,29(1):135-138. |
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| Authors: | NIE XuTao FAN DaPeng |
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| Affiliation: | College of Mechatronics Engineering and Automation,National University of Defense Technology, Changsha 410073, China |
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| Abstract: | Points interpolation method (PIM) which is a new meshless method reduces the complexities in calculating the shape function of other meshless methods, and the hardness in dealing with the essential boundary conditions etc. The calculation principles of PIM are analyzed and applied to elasticity mechanics problems. The comparison of its calculated results with that obtained using FEM(finite element mehtod) and MLS(moving least square) methods shows that PIM has the advantages such as fast computing rate, high calculating accuracy and handling the essential boundary conditions simply. |
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| Keywords: | Points interpolation method Meshless method Finite dements method Moving least square |
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