Affiliation:
1. School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China
Abstract
The state space method of gear train analysis and the unified mathematical model of state space based gear train analysis are proposed in this paper. Firstly, the concept of basic gear train unit is defined, and the state transformation equation of basic gear train unit is established, which is applied to express the transformation rule of the basic gear train unit and the adjacency relationship between the units. Then, the gear train state space is formed based on the dual vectors including input state eigenvector and output state eigenvector, which describe the state characteristics of the gear train unit. The state space is established based on the mapping relationship among the input-output dual vectors, the state transformation matrix, and the gear train unit. Then the dual vector operation laws and mathematical operation methods in gear train state space are generated. Therefrom, a unified mathematical model based on the kinematic, statics, and structural characteristics of the gear train in the state space is established. Finally, the digital identification and automatic analysis of any complex gear train is realized. The fast comparison and analysis of a large number of gear train schemes is achievable in the scheme design stage.
Funder
National Basic Research Program of China
Subject
General Engineering,General Mathematics
Reference16 articles.
1. A Kinematics and Power Flow Analysis Methodology for Automatic Transmission Planetary Gear Trains
2. A new method for kinematic analysis of gear train mechanism;J. Rao;Mechanical Research & Application,2000
3. Analysis method of complex gear train motion;X. Duan;Journal of Mechanical Transmission,1999
4. A fundamental element solution to complicated epicyclical gear trains;X. Duan;Machine Design and Research,2001
5. Convenient algorithm for the power flow of closed epicyclical gear train;W. Yang;Transactions of the Chinese Society for Agricultural,2006
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献