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面齿轮车齿加工中切削角度和切削力计算

关蕊 黄一展 陈锐 王延忠

关蕊,黄一展,陈锐,等. 面齿轮车齿加工中切削角度和切削力计算[J]. 北京航空航天大学学报,2023,49(8):1922-1929 doi: 10.13700/j.bh.1001-5965.2021.0613
引用本文: 关蕊,黄一展,陈锐,等. 面齿轮车齿加工中切削角度和切削力计算[J]. 北京航空航天大学学报,2023,49(8):1922-1929 doi: 10.13700/j.bh.1001-5965.2021.0613
GUAN R,HUANG Y Z,CHEN R,et al. Calculation of cutting angle and cutting force in face gear machining[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(8):1922-1929 (in Chinese) doi: 10.13700/j.bh.1001-5965.2021.0613
Citation: GUAN R,HUANG Y Z,CHEN R,et al. Calculation of cutting angle and cutting force in face gear machining[J]. Journal of Beijing University of Aeronautics and Astronautics,2023,49(8):1922-1929 (in Chinese) doi: 10.13700/j.bh.1001-5965.2021.0613

面齿轮车齿加工中切削角度和切削力计算

doi: 10.13700/j.bh.1001-5965.2021.0613
详细信息
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    E-mail:378610188@qq.com

  • 中图分类号: TH132.41

Calculation of cutting angle and cutting force in face gear machining

More Information
  • 摘要:

    为了提高面齿轮的加工效率,结合车齿加工圆柱齿轮的方法,提出了一种利用车齿刀加工面齿轮的加工方法。分析了车齿加工的工作原理,建立了加工运动关系模型及车齿加工坐标系,推导了车齿刀切削刃上切削点的切削速度。对车齿刀前后刀面进行设计,建立了切削角度数学模型,分析了刀具切削角度在加工过程中的变化规律。利用VERICUT和DEFORM仿真分析软件对车齿过程进行验证,获得了加工后误差及加工参数对切削力的影响规律。

     

  • 图 1  车齿加工示意图

    Figure 1.  Schematic view of gear machining

    图 2  车齿加工坐标系

    Figure 2.  Coordinate system of gear machining

    图 3  车齿刀前刀面形成过程

    Figure 3.  Forming process of front face of gear cutter

    图 4  车齿刀结构示意图

    Figure 4.  Schematic view of gear cutter structure

    图 5  刀具角度基准平面

    Figure 5.  Base level of cutting-tool angle

    图 6  主界面中的切削角度

    Figure 6.  Cutting angle in main interface

    图 7  切削前角随刀具转角的变化

    Figure 7.  Variation of former cutting angle with tool angle

    图 8  刀具齿数对切削前角的影响

    Figure 8.  Influence of cutter teeth on former cutting angle

    图 9  刀具螺旋角对切削前角的影响

    Figure 9.  Influence of cutter helix angle on former cutting angle

    图 10  车齿仿真加工结果

    Figure 10.  Simulation results of gear machining

    图 11  单个齿槽形成过程

    Figure 11.  Formation process of single alveolar

    图 12  仿真加工模型与理论模型对比

    Figure 12.  Comparison of simulation model and theoretical model

    图 13  车齿刀几何模型

    Figure 13.  Geometric model of gear cutter

    图 14  工件某一时刻切削模型

    Figure 14.  Cutting model of workpiece at a certain time

    图 15  车齿刀与工件位置关系

    Figure 15.  Position relation between gear cutter and workpiece

    图 16  切削力随分析步历程变化

    Figure 16.  Cutting force changes with process of analysis step

    图 17  进给量对切削力的影响

    Figure 17.  Influence of feed quantity on cutting force

    图 18  刀具转速对切削力的影响

    Figure 18.  Influence of tool speed on cutting force

    图 19  面齿轮车齿加工试验

    Figure 19.  Face gear machining test

    表  1  车齿基本参数

    Table  1.   Basic parameters of gear

    参数数值
    模数m5
    压力角$ \alpha $/(°)20
    螺旋角$ \beta $/(°)23
    安装夹角$\varSigma$/(°)23
    面齿轮齿数${Z}_{2}$100
    车齿刀齿数${Z}_{\mathrm{s} }$70
    面齿轮根切内半径$ {R}_{\mathrm{u}} $/mm48.7
    面齿轮变尖外半径$ {R}_{\mathrm{p}} $/mm54.65
    下载: 导出CSV

    表  2  车齿仿真加工参数

    Table  2.   Gear simulation machining parameters

    仿真 刀具转速/(r·s−1进给量/(mm·r−1
    1100.05,0.1,0.15,0.2,0.25
    2 10,11,12,13,14 0.05
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-10-18
  • 录用日期:  2022-03-18
  • 网络出版日期:  2022-04-13
  • 整期出版日期:  2023-08-31

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