| 基于功能离散的轮系拓扑及同构问题研究 |
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| 引用本文： | 史晓影,孟祥丰. 基于功能离散的轮系拓扑及同构问题研究[J]. 河南科学, 2012, 30(11): 1597-1600 |
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| 作者姓名： | 史晓影 孟祥丰 |
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| 作者单位： | 1. 渭南师范学院物理与电气工程学院,陕西渭南,714000
2. 渭南师范学院数学与信息科学学院,陕西渭南,714000 |
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| 基金项目： | 陕西省教育厅科学研究项目计划（12JK0672）;渭南师范学院项目（12YKS022）;陕西省渭南师院研究生项目（10YZK068） |
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| 摘 要： | 拓扑的同构判定问题一直以来都是周转轮系拓扑综合问题的难点.在前人研究成果的基础上,首先提出了新的拓扑构建方法,即功能离散法,并对常见的周转轮系的拓扑图进行了分层;其次依据建立的拓扑图,提出了新的高效通用的同构判定的新方法;最后以实例的形式给出了具体的判定过程.
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| 关 键 词： | 周转轮系 拓扑图 功能离散 同构判定 缩微变换 |
Topology and Isomorphism of the Epicyclic Gear Train Based on Discrete Function |
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| Shi Xiaoying , Meng Xiangfeng. Topology and Isomorphism of the Epicyclic Gear Train Based on Discrete Function[J]. Henan Science, 2012, 30(11): 1597-1600 |
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| Authors: | Shi Xiaoying Meng Xiangfeng |
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| Affiliation: | 1. School of Physics and Electrical Engineering, Weinan Normal University, Weinan 714000, Shaanxi China; 2. School of Mathematics and Information Science, Weinan Normal University, Weinan 714000, Shaanxi China) |
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| Abstract: | Topology isomorphism problems have always been the difficult issues of epicyclic gear trains. On the basic of comparative previous studies, a new topology construction method, which is the function descrete method, was proposed and used to stratify the common topology of epicyeilc gear trains. After that, the author proposed efficient and generic isomorphism decision algorithm based on this topology. Finally,through an example,the specific decision process was given. |
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| Keywords: | epicychc gear trains topology map function discrete testing isomorphism microfilm conversion |
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