一种非圆齿轮齿条机构的设计方法与分析  

Analysis and Design Method of a Kind of Non-circular Gear Rack Mechanism

作　　者：刘红俊[1] 沈威[1] 孙科[1] 陈定方[1] 李立杰[1] 

机构地区：[1]武汉理工大学智能制造与控制研究所,湖北武汉430063

出　　处：《机械传动》2014年第9期95-98,共4页Journal of Mechanical Transmission

基　　金：广西制造系统与先进制造技术重点实验室开放基金项目(11-031-12S05)

摘　　要：从传动比函数的角度出发,进行非圆齿轮齿条的设计,利用产形齿条是标准直齿条完成非圆渐开线直齿轮的齿廓设计,根据坐标变换完成齿条的齿廓设计。给定传动比函数,推导出相应的非圆柱直齿轮和齿条的节曲线方程;在MATLAB编程环境下进行齿廓的编制,进一步导入Pro/E中完成非圆齿轮齿条的三维模型建立,最后利用动力学仿真软件ADAMS完成非圆齿轮齿条的速度响应分析。所得到的齿条速度响应曲线基本与给定传动比函数的谐波曲线保持一致。From the perspective of the function of transmission ratio, the design of non--circular gear rack is carried out, by using the counterpart rack of which is standard straight rack, a non--circu- lar involute spur gear tooth profile design is completed, according to the coordinate transformation, the rack tooth profile design is completed. The corresponding non--spur gear and rack section curve e- quation is deduced according to the given gear ratio function. The programming of tooth profile is car- ried out in the MATLAB programming environment, further importing into Pro/E, the three--dimen- sional model of non--circular gear rack is established. Finally, by using the dynamics simulation soft- ware ADAMS, the speed response analysis of non--circular gear rack is completed. The resulting of rack speed response curve is basically consistent with a harmonic function with a given transmission ra- tio function, which shows the ideas and methods described have the reliability and validity.

关 键 词：传动比函数 非圆齿轮齿条 齿廓 MATLAB ADAMS 

分 类 号：TH132.424[机械工程—机械制造及自动化]