Analysis Method of Complex Fixed Axis Gear Trains Based on Graph Theory
-
摘要: 以图论理论为基础,提出了复杂定轴轮系的表示和分析方法.用啮合矩阵和离合器矩阵的组合描述定轴轮系,用矩阵的秩判断轮系是否有运动干涉,用深度优先搜索法计算轮系的传动路线.给出了轮系分析程序的流程.用该方法分析了某变速箱,找到了全部可行的传动路线.Abstract: An expression and analysis method based on graph theory for complex fixed axis gear trains was proposed.In the method,a fixed axis gear train is described with a mesh matrix,a clutch matrix and a transmission matrix;movement interferences are identified by the rank of the transmission matrix;and the transmission routes are obtained with a depth-first search(DFS) strategy in the transmission matrix.The program flowchart for analysis of gear trains was presented.The proposed method was used to analyze a gearbox,and all feasible routes were found.
-
Key words:
- graph theory /
- fixed axis gear train /
- matrix /
- DFS /
- movement interference /
- transmission route
-
BUCHSBAUM F,FREUDENSTEIN F.Synthesis of kinematic structure of geared kinematic chain and other mechanisms[J].Journal of Mechanisms,1970,5 (1):357-392.[2] 邓晓龙,朱大林,方子帆.三自由度串联行星变速箱传动方案设计的图论法[J].机械传动,2002,26(2):11-13.DENG Xiaolong,ZHU Dalin,FANG Zifan.Graph theory for design of transmission plan of three-freedom-degree epicyclicalgearboxes[J].Journal of Mechanical Transmission,2002,26(2):11-13.[3] 林建德.基于图论的3K行星齿轮系传动比与传动效率分析[J].机械设计与研究,2004,20(5):39-41.LIN Jiande.The analysis of the speed-ratio and mechanial efficiency in 3K type planetary gear trains based on graph theory[J].Machine Design and Research,2004,20(5):39-41.[4] 肖丽萍,秦曼华.基于图论的行星轮系传动比分析[J].机械工程与自动化,2006,35(4):126-127.XIAO Liping,QIN Manhua.Analysis of the transmission ratio of planetary gear trains based on graph theoryr[J].Mechanical Engineering & Automation,2006,35(4):126-127.[5] OLSON D C,ERDMAN A G,RILEY D R.Topological analysis of single D.O.F.planetary gear trains[J].Journal of Mechanical Design,1991,113(1):10-16.[6] 李海涛,邓樱.MATLAB程序设计教程[M].北京:高等教育出版社,2002:38-57.[7] 王兵团,张志刚,朱婧.Matlab与数学实验[M].北京:中国铁道出版社,2002:76-103. -
点击查看大图
计量
- 文章访问数: 1370
- HTML全文浏览量: 62
- PDF下载量: 321
- 被引次数: 0
下载: