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金属蜗杆与塑料斜齿轮不等齿距啮合方法

任继华 石照耀 王得峰 余石鹏

任继华, 石照耀, 王得峰, 等 . 金属蜗杆与塑料斜齿轮不等齿距啮合方法[J]. 北京航空航天大学学报, 2022, 48(6): 979-985. doi: 10.13700/j.bh.1001-5965.2020.0690
引用本文: 任继华, 石照耀, 王得峰, 等 . 金属蜗杆与塑料斜齿轮不等齿距啮合方法[J]. 北京航空航天大学学报, 2022, 48(6): 979-985. doi: 10.13700/j.bh.1001-5965.2020.0690
REN Jihua, SHI Zhaoyao, WANG Defeng, et al. Method of unequal pitch meshing of metal worm and plastic helical gear[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(6): 979-985. doi: 10.13700/j.bh.1001-5965.2020.0690(in Chinese)
Citation: REN Jihua, SHI Zhaoyao, WANG Defeng, et al. Method of unequal pitch meshing of metal worm and plastic helical gear[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(6): 979-985. doi: 10.13700/j.bh.1001-5965.2020.0690(in Chinese)

金属蜗杆与塑料斜齿轮不等齿距啮合方法

doi: 10.13700/j.bh.1001-5965.2020.0690
基金项目: 

国家自然科学基金重点项目 51635001

详细信息
    通讯作者:

    石照耀, E-mail: shizhaoyao@bjut.edu.cn

  • 中图分类号: TH132.4;TH124;TH112.3

Method of unequal pitch meshing of metal worm and plastic helical gear

Funds: 

Key Program of National Natural Science Foundation of China 51635001

More Information
  • 摘要:

    为了进一步提高金属蜗杆与塑料斜齿轮传动中塑料齿轮的承载能力,研究了传统等齿距蜗杆与斜齿轮啮合传动时受力的特点,提出了蜗杆与斜齿轮不等齿距啮合方法。基于梁弯曲理论和轮齿变形理论,得到了齿面载荷、变形及接触刚度的关系,并以轮齿齿根弯曲变形率相等为前提,推导了不等齿距啮合的设计方法,得到了不等齿距啮合时蜗杆的齿距调整量,通过静态强度实验进行了验证。实验结果表明:不等齿距设计可以使塑料斜齿轮的承载能力提高13.69%。

     

  • 图 1  等齿距啮合

    Figure 1.  Equal pitch meshing

    图 2  不等齿距啮合

    Figure 2.  Unequal pitch meshing

    图 3  齿轮轮齿参数

    Figure 3.  Gear tooth parameters

    图 4  两种齿距蜗杆样板

    Figure 4.  Worm model with two pitches

    图 5  正常齿距塑料齿轮样板

    Figure 5.  Plastic gears model with normal pitch

    图 6  蜗杆齿距测量(齿距为3.19 mm)

    Figure 6.  Worm pitch measurement (tooth pitch is 3.19 mm)

    图 7  蜗杆齿距测量(齿距为3.13 mm)

    Figure 7.  Worm pitch measurement (tooth pitch is 3.13 mm)

    图 8  测试工作台

    Figure 8.  Test fixture

    图 9  力学性能仪

    Figure 9.  Mechanical properties meter

    图 10  等齿距啮合实验结果曲线

    Figure 10.  Curve of results of equal pitch meshing experiment

    图 11  不等齿距啮合实验结果曲线

    Figure 11.  Curve of results of unequal pitch meshing experiment

    表  1  式(7)~式(10)中符号及意义

    Table  1.   Symbols and meanings in formula (7)-(10)

    参数 含义
    B/mm 齿宽
    E/Pa 弹性模量
    Fi/N 每齿法向载荷
    Sk/mm 齿顶厚
    w/mm 悬臂梁长度
    Sm/mm 载荷作用线与齿根圆之间的距离
    SF/mm 危险截面宽度
    z/mm 危险截面与齿根圆之间的距离
    n/mm 全齿高
    α/(°) 加载角
    δB/mm 轮齿接触点弹性弯曲挠度
    δS/mm 轮齿剪切变形
    δg/mm 轮齿基体偏移量
    δp/mm 赫兹接触压力产生的变形
    δ/mm 轮齿总挠度
    ν 泊松比
    ρ1, ρ2/mm 蜗杆斜齿轮的曲率半径
    下载: 导出CSV

    表  2  实验样板参数

    Table  2.   Experimental model parameters

    参数 等齿距蜗杆 不等齿距蜗杆 塑料斜齿轮
    法向模数 1 0.985 1
    法向压力角/(°) 12 12 12
    螺旋角/旋向 9°9′44″(左) 9°9′44″(左) 9°9′44″(左)
    齿数 1 1 63
    轴向齿距/mm 3.182 2 3.134 5 3.182 2
    齿顶圆直径/mm 7.9 7.9 65.35
    齿根圆直径/mm 4.36 4.36 61.9
    下载: 导出CSV
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出版历程
  • 收稿日期:  2020-12-10
  • 录用日期:  2020-12-31
  • 刊出日期:  2022-06-20

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