基于布尔减运算和曲线拟合的变传动比齿条数字建模方法  

Digital Modeling Method of Variable Ratio Rack based on Boolean Subtraction Operation and Curve Fitting Technology

作　　者：张斯宇 胥军[1] 牛子孺[1] 汪炜[1] 

机构地区：[1]武汉理工大学机电工程学院,湖北武汉430070

出　　处：《机械传动》2016年第8期72-77,共6页Journal of Mechanical Transmission

基　　金：湖北省重大科技创新计划(2013AAA015)

摘　　要：提出了一种基于布尔减运算和曲线拟合的变传动比齿条建模方法,该方法在一定程度上弥补了布尔减运算建模不精确的弊端。根据变传动比曲线,模拟齿轮的范成加工过程,采用布尔减运算建立了变传动比齿条初始模型;提取齿廓点的近似值,对近似齿廓点进行拟合,然后通过建模软件生成变传动比齿条三维模型;以变传动比齿轮副动态传动误差百分率、加速度为衡量目标,对采用不同次数多项式修补的变传动比齿条进行动态特性仿真分析,分析结果对比验证了该方法的有效性。Based on the Boolean subtraction operation and curve fitting technology,a digital modeling method for variable ratio rack is put forward. This method,to a certain extent,makes up for the disadvantages that the Boolean subtraction operation modeling method is inaccuracy. According to the variable ratio curve,generating cutting process of the gear is simulated,and the variable ratio rack initial model are established based on Boolean subtraction operation. By extracting the approximation of the tooth profile point and fitting these tooth profile points with different number of polynomial,the variable ratio rack 3D model is generated by modeling software. The dynamic characteristic simulation analysis of the repaired variable ratio rack is carried out by different number of polynomial,with the aim to measure the dynamic transmission error percentage and acceleration of variable ratio gear pair. The effectiveness of this method is verified by the comparison analysis results.

关 键 词：变传动比齿条 范成仿真法 齿廓修补 动态特性 

分 类 号：TH132.41[机械工程—机械制造及自动化]