轮系运动分析的构件元法  

Kinematic Analysis of Gear Trains Based on Link Units

作　　者：王成志[1] 许志龙[1] 

机构地区：[1]集美大学机械工程学院,厦门361021

出　　处：《农业机械学报》2011年第12期208-214,共7页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家高技术研究发展计划(863计划)资助项目(2006AA050203)

摘　　要：用构件元的概念推导了轮系中齿轮与系杆的构件元,特别是推导出用齿数表示的雅可比元,分析了轮系中的封闭环,总结出3种轮系基本封闭环。通过引入有效因子,可用雅可比元按基本封闭环建立整个轮系的雅可比矩阵,求解线性方程组,就得出各构件的角速度。提出的方法无需区分基本轮系,无需绘制箭头,具有极强的模块性,手工计算和计算机自动求解都非常方便,适用于各类复杂轮系。By applying the notion of link units to the gear trains,the link units,especially the Jacobian units,the gear and planet carrier was gotten.The closed loops about gear train also were analyzed,and three kinds of basic closed loop were summed up.By using the effect factors and according to the basic closed loops,the units could be easily combined together to build Jacobian matrix,that was a linear equations,of whole gear train.After solved the linear equations,the angular velocities of each gears and planet carriers were yielded.It did not need to divide the compound planetary train into basic epicylic and fixed axis gear trains and also did not need to draw the arrows to determine the rotations of each links in the planar trains.It was easy to model the equations with manual hands or automatically model with computer for its modular property.The method could be used for any complex planar gear trains.

关 键 词：轮系 运动分析 雅可比矩阵 构件元 基本封闭环 

分 类 号：TH113.22[机械工程—机械设计及理论] TH112.3