| 一种基于Taylor级数的齐次扩容精细算法 |
| |
| 引用本文： | 周钢,王跃先,贾国庆,陈军. 一种基于Taylor级数的齐次扩容精细算法[J]. 上海交通大学学报, 2001, 35(12): 1916-1919 |
| |
| 作者姓名： | 周钢 王跃先 贾国庆 陈军 |
| |
| 作者单位： | 1. 上海交通大学,应用数学系,
2. 上海交通大学,塑性成形工程系, |
| |
| 基金项目： | 国家自然科学基金资助项目 (1970723396) |
| |
| 摘 要： | 借助齐次扩容技巧及Taylor级数，设计了求解非齐次线性定常系统的一种新的精细算法－基于Taylor级数的齐次扩容精细算法（HHPD－T）。该算法有效地解决了HPD－F算法中涉及矩阵求逆的问题，因而计算量小，同时具有设计合理、易于推广、易于实现等特点。两个典型算例表明，应用HHPD－T求解，数值结果更为理想。
|
| 关 键 词： | 精细算法 非齐次动力系统 齐次扩容精细算法 Taylor级数 |
| 文章编号： | 1000-0000(2001)12-1916-04 |
| 修稿时间： | 2000-05-23 |
A Homogenized High Precise Direct Integration Based on Taylor Serials |
| |
| ZHOU Gang ,WANG Yue xian ,JIA Guo qing ,CHEN Jun. A Homogenized High Precise Direct Integration Based on Taylor Serials[J]. Journal of Shanghai Jiaotong University, 2001, 35(12): 1916-1919 |
| |
| Authors: | ZHOU Gang WANG Yue xian JIA Guo qing CHEN Jun |
| |
| Affiliation: | ZHOU Gang 1,WANG Yue xian 2,JIA Guo qing 1,CHEN Jun 2 |
| |
| Abstract: | Arithmetic of HPD (high precise direct) integration is very valuable in engineering. For the dynamic respond of structures, this article, using technology of homogenization and Taylor serials, devised the method of HHPD T to analyze the dynamic respond, which avoids the computation of the inverse matrices from which the HPD F suffers. This algorithm of HHPD T has several advantages, such as simpler in designing, easier to generalize and implement. The results of two examples show that the HHPD T is more effective. |
| |
| Keywords: | high precise direct (HPD) non homogenous linear dynamic system HHPD T |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
