复杂与封闭行星齿轮机构运动学分析的新方法  

New Method for Kinematic Analysis of Complex and Closed Planetary Gear Trains

作　　者：陈宏[1] 陈小安[1] 李云松[1,2] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400030 [2]重庆广播电视大学,重庆400052

出　　处：《现代科学仪器》2012年第5期35-39,共5页Modern Scientific Instruments

基　　金：国家自然科学基金资助项目(51075407);重庆市自然科学基金计划重点项(CSTC;2009BA3020);中央高校基本科研业务费资助;基金编号:CDJXS11111143;重庆市教委科学技术研究项目:KJ111603

摘　　要：介绍了一种复杂和封闭行星齿轮机构运动学分析的新方法——分析几何法。论文首先陈述了新方法的主要内容,并说明了使用新方法进行运动学分析的系统化步骤;随后通过两个复杂行星齿轮机构:新型指南车和6-杆封闭机构的分析,详细演示了分析几何方法的使用;最后对计算过程与结果的呈现,与常规分析方法进行了简单对比,并讨论了分析几何方法所具有的分析能力。结果表明:分析几何法相较传统的基于代数的方法,全部运动学可一次求解,具有直观,简便的特点。分析过程使用Mathematica计算软件包编制程序自动完成。A new method for kinematics analysis of complex and closed planetary gear trains（PGTs）,analytical geometry method,is presented.First,key points of the novel method are introduced,accompanied with its systematical procedure to analyze kinematics of PGTs.Then,two complex PGTs,a new pattern compass carriage and a 6-link closed mechanism,are analyzed to illustrate the usage of the analytical geometry method.Finally,the contrast of computation processes and results between the new method and old ones,as well as the analysis ability that the analytical geometry method possesses,is discussed.The results indicated that,compared to traditional methods that are based on algebra,the new method,which is capable of figuring out all the kinematics quantities in one diagram,is both simple and intuitive.All the analysis processes are automatically calculated by a program constructed by computing program Mathematica.

关 键 词：分析几何法 行星齿轮系 运动学 分析方法 

分 类 号：TH132.425[机械工程—机械制造及自动化]