装配误差和齿面修形对曲线圆柱齿轮传动误差的影响  

Influence of Assembly Errors and Tooth Surface Modification on Transmission Errors of Curvilinear Cylindrical Gears

作　　者：张学刚 谢永春 王鹏飞 Zhang Xuegang;Xie Yongchun;Wang Pengfei(School of Intelligent Manufacturing,Panzhihua University,Panzhihua 617000,China)

机构地区：[1]攀枝花学院智能制造学院,四川攀枝花617000

出　　处：《机械传动》2022年第10期86-92,共7页Journal of Mechanical Transmission

基　　金：攀枝花市指导性科技计划项目(2021ZD-G-1);攀枝花学院培育项目(2020ZD008);博士基金资助项目(bkqj2019077)。

摘　　要：基于齿轮啮合理论,推导了带抛物线修形的曲线圆柱齿轮齿面方程,研究了齿轮副有限元模型初始接触位置的求解方法;利用齿轮参数化有限元技术,建立了齿轮副的有限元模型,从有限元分析结果中提取了齿轮载荷传动误差;通过20余组算例分别研究了齿轮副的装配误差、修形量、刀盘曲率半径和修形曲线偏置量对载荷传动误差的影响。结果表明,装配误差可以降低载荷传动误差的波动幅度;较大的齿面修形量可减小载荷传动误差波动幅度;较大的刀盘曲率半径可减小载荷传动误差值和误差波动幅度;齿面修形曲线的偏置对载荷传动误差的影响较小。总的来说,采用较大曲率半径的修形刀盘可加工出传动性能更好的曲线圆柱齿轮。Tooth surface equations of a curvilinear cylindrical gear with parabolic modification are derived based on the gear meshing theory.The solving method of the initial contact position of the gear finite element model is studied,a finite element model of the gear pair is established using the parameterized finite element technology,and the loaded transmission error is extracted from the finite element analysis results.With more than 20 sets of calculation examples,the effects of assembly errors,modification amount,curvature radius of the cutter,and offset of modification curve on loaded transmission errors are studied,respectively.The research results show that,assembly errors can reduce the fluctuation range of loaded transmission errors;larger modification amount can reduce the fluctuation range of loaded transmission errors;larger curvature radius of the cutter can reduce the value of loaded transmission errors and its fluctuation range;the offset of the modification curve has slight effect on loaded transmission errors.In summary,the use of a larger curvature radius of the cutter can be used to machine curvilinear cylindrical gears with better transmission performance.

关 键 词：曲线圆柱齿轮 装配误差 齿面修形 载荷传动误差 有限元法 数学模型 

分 类 号：TH132.417[机械工程—机械制造及自动化] TH161.7