| 复杂系统的空间度量张量的矩阵算法 |
| |
| 引用本文： | 徐重光,Fan Dah-nien.复杂系统的空间度量张量的矩阵算法[J].宁波大学学报(理工版),1990(2). |
| |
| 作者姓名： | 徐重光 Fan Dah-nien |
| |
| 作者单位： | 中国杭州电子学院机械工程系，美国Howard大学 |
| |
| 基金项目： | 国家自然科学基金(编号58976287) |
| |
| 摘 要： | 本文基于非笛卡儿张量的分析,并引入了物理基,提出了复杂系统的空间度量张量的一系列矩阵公式,据以求出任意曲线坐标系中的数学模型。并用示例说明在正交或非正交的任意曲线坐标系中选择和确定物理基及空间度量张量的方法,所得结果与文献1]和2]完全吻合,表明这一方法是令人满意的。
|
| 关 键 词： | 复杂系统 空间度量张量 自然基物理基 笛卡儿张量 非笛卡儿 张量 螺旋线——笛卡儿坐标系 抛物柱面坐标系 |
AN ALGORITHM OF MATRIX ON SPACE METRIC TENSOR FOR COMPLICATED SYSTEM |
| |
| Xu Zhongguang.AN ALGORITHM OF MATRIX ON SPACE METRIC TENSOR FOR COMPLICATED SYSTEM[J].Journal of Ningbo University(Natural Science and Engineering Edition),1990(2). |
| |
| Authors: | Xu Zhongguang |
| |
| Abstract: | This paper has presented the formulae of calculating physical base and space metric tensor for complicated system, these formulae are developed by using non-Cartesian tensor analysis and introducing physical base. Here illustrate by examples on the method of choosing and determining physical base and space metric tensor in arbitrary curvilinear (orthogonal and nonorthogonal) coordinate system, the results show clearly that this algorithm of matrix is correct, and show that the algorithm of matrix is really effectire and in excellent agreement with Ref. 1] and 2]. |
| |
| Keywords: | complicated system space metric tensor natural base physical base non-Cartesian tensor Cartesian tensor helical-Cartesian coordinate system parabolic cylindrical coordinate system |
| 本文献已被 CNKI 等数据库收录！ |
