• CN：11-2187/TH
• ISSN：0577-6686

›› 2008, Vol. 44 ›› Issue (4): 80-86.

• 论文 •

### 周转轮系系统化的数学模型

1. 西安理工大学机械仪器工程学院;西安理工大学自动化与信息工程学院
• 发布日期:2008-04-15

### System Mathematic Model of Epicyclic Gear Trains

XUE Longquan;LEI Yarong;SONG Nianlong

1. School of Mechanical Instrumental Engineering, Xi’an University of Technology School of Automatization and Communication Engineering, Xi’an University of Technology
• Published:2008-04-15

Abstract: On the basis of analyzing structure character and state character of epicyclical gear trains (EGTs) , topological graph is improved. It is realized that gear trains is a physics system , and net problem is presented that is a systems graph theory model applied to solve physics character of EGTs. It is found that topological graph accords with Kirchhoff ’s law. On the basis of analyzing physics and geometry character of topological graph, branch-characteristics matrix and cut-characteristics matrix are presented, the two are applied to create a systems mathematic model, namely loop-equations and cut-equations. A new fundamental theory is presented for structure characteristics and state characteristics of EGTs based on systems research. And it is applied to velocity, torque and bifurcated power characteristics of EGTs with an example.