| 王学明,周进雄,张陵.RKPM形状函数的矩式显式表述及快速计算[J].计算力学学报,2004,21(6):693~695 |
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| RKPM形状函数的矩式显式表述及快速计算 |
| Explicit form and efficient computation of RKPM shape functions in terms of moments |
| 修订日期：2003-03-12 |
| DOI：10.7511/jslx20046124 |
| 中文关键词: 再生核质点法 无网格法 形状函数 |
| 英文关键词:Reproducing Kernel Particle Method,meshless method,shape function |
| 基金项目:国家自然科学基金(10202018)资助项目. |
| 王学明 周进雄 张陵 |
| 西安交通大学建筑工程与力学学院,陕西西安710049 |
| 摘要点击次数: 1036 |
| 全文下载次数: 8 |
| 中文摘要: |
| 给出了计算再生核质点法(RKPM)形状函数及其导数的矩式显式处理方法。其特点是在计算形状函数及其导数时不涉及矩阵的求逆或者线性方程组的求解，从而减少计算误差的产生并提高了计算速度。二维及三维形状函数计算算例表明该方法是提高RKPM计算效率的一种有效途径。 |
| 英文摘要: |
| Reproducing Kernel Particle Method (RKPM) shape functions and their derivatives are expressed explicitly in terms of moments. This eliminates totally the errors arise from numerical computation of matrix inversion and solution of linear equations. Furthermore, this method can improve computation efficiencies as well as save computer memory. Numerical examples associated with computation of 2-D and 3-D shape functions are presented, and comparisons the results of between the classical numerical method and the proposed analytical method are included within. Numerical examples demonstrate that the proposed method constitutes prominent advantages especially when a large number of unknowns are involved. All the formulations are given in the context of RKPM, but the results and conclusions can be developed in the framework of other meshless methods. |
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