| 无网格法中一种新型权函数研究和应用 |
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| 引用本文： | 署恒木,黄朝琴,李翠伟.无网格法中一种新型权函数研究和应用[J].合肥工业大学学报(自然科学版),2007,30(11):1489-1493. |
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| 作者姓名： | 署恒木 黄朝琴 李翠伟 |
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| 作者单位： | 1. 中国石油大学(华东)工程力学系,山东,东营,257061
2. 中国石油大学(华东)热能工程系,山东,东营,257061 |
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| 摘 要： | 文章基于概率论和误差理论,提出了一种新的权函数——正态权函数(Normal weight function),从理论和实践上证明了它的实用、可行性。通过一维杆和二维梁实例,把正态权函数与现有流行的权函数进行比较,说明它是一种受影响域半径变化的影响较小、高效实用的权函数。最后给出了正态权函数影响域半径的确定规则。
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| 关 键 词： | 无网格法 移动最小二乘法 权函数 影响域半径 正态权函数 |
| 文章编号： | 1003-5060(2007)11-1489-05 |
| 修稿时间： | 2006年11月10 |
Study of a new weight function in the meshless method and its application |
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| SHU Heng-mu,HUANG Zhao-qin,LI Cui-wei.Study of a new weight function in the meshless method and its application[J].Journal of Hefei University of Technology(Natural Science),2007,30(11):1489-1493. |
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| Authors: | SHU Heng-mu HUANG Zhao-qin LI Cui-wei |
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| Abstract: | How to determine the radius of the influence domain reasonably and exactly and which type of weight function is suitable to numerical calculation are the two difficult problems in the research on meshless methods. This paper presents a new weight function,named the normal weight function,which is based on the probability theory and the error theory.Its feasibility is proved theoretically.The numerical simulation results of a one-dimensional bar and a two-dimensional beam show that the normal weight function possesses good properties for meshless calculation,such as high accuracy and good stability.The rules for determining the radius of the influence domain for the normal weight function are discussed. |
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| Keywords: | meshless method moving least-square method weight function radius of the influence domain normal weight function |
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