基于改进哈明数的行星轮系机构同构判定新方法

孙伟; 李安明; 孔建益; 左惠妍; 魏斯佳

doi:10.16578/j.issn.1004.2539.2020.04.009

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基于改进哈明数的行星轮系机构同构判定新方法

设计计算 | 更新时间：2022-10-20

- 基于改进哈明数的行星轮系机构同构判定新方法
- A New Method for Isomorphism Identification of Planetary Gear Train based on Improved Hamming Number
- 机械传动 2020年44卷第4期页码：61-66
- 作者机构：
  
  1.武汉科技大学机械自动化学院，湖北武汉 430081
- 作者简介：
  
  孙伟（1990— ），男，山东日照人，博士，讲师，主要研究方向为机构学与机器人。
  李安明（1995— ），男，山西朔州人，本科，主要研究方向为机构学与机器人。
- 基金信息：
  
  国家自然科学基金(51875418)
- DOI：10.16578/j.issn.1004.2539.2020.04.009
  中图分类号：
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孙伟,李安明,孔建益等.基于改进哈明数的行星轮系机构同构判定新方法[J].机械传动,2020,44(04):61-66.

Sun Wei Li Anming Kong Jianyi Zuo Huiyan Wei Sijia.A New Method for Isomorphism Identification of Planetary Gear Train based on Improved Hamming Number[J].Journal of Mechanical Transmission,2020,44(04):61-66.
孙伟,李安明,孔建益等.基于改进哈明数的行星轮系机构同构判定新方法[J].机械传动,2020,44(04):61-66. DOI： 10.16578/j.issn.1004.2539.2020.04.009.

Sun Wei Li Anming Kong Jianyi Zuo Huiyan Wei Sijia.A New Method for Isomorphism Identification of Planetary Gear Train based on Improved Hamming Number[J].Journal of Mechanical Transmission,2020,44(04):61-66. DOI： 10.16578/j.issn.1004.2539.2020.04.009.

摘要

同构判定是行星齿轮系结构合成时不可缺少的过程之一，对于创造新颖且具有优良传输特点的行星轮系具有重大意义。提出了一种基于改进哈明数判定行星轮系同构的新方法。首先，提出一种改进构件邻接矩阵，描述行星轮系拓扑图，该矩阵包含行星齿轮系拓扑结构的所有信息，具有描述的唯一性。然后，用特征码表示齿轮系的基本特征，作为同构的必要条件。定义了改进哈明数原理，得到哈明码，通过判断特征码和哈明码两结构恒量是否相等来判定是否同构。最后，通过实例验证了该方法的有效性和可靠性。

Abstract

The isomorphism identification is one of the indispensable processes in structure synthesis of planetary gear train.It is of great significance for the creation of novel planetary gear train with excellent transmission characteristics.A new method for identifying isomorphism of planetary gear train based on improved Hamming number is proposed.Firstly，a new method for describing the topological diagram of planetary gear train by improved link adjacency matrix is proposed.This matrix contains all the information of the topological structure of planetary gear train and has the uniqueness of description.Then，the basic feature of planetary gear train is represented by the feature code，which is the necessary condition for isomorphism.Then，the principle of improved Hamming number is defined，and the Hamming code is obtained.By distinguishing whether the structural constants of the feature code and the Hamming code are equal，the isomorphism of the planetary gear train is identified.Finally，the validity and reliability of the method are verified by examples.

关键词

行星轮系改进哈明数同构判定改进构件邻接矩阵

Keywords

Planetary gear trainImproved hamming numberIsomorphism identificationImproved link adjacency matrix

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