留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

基于双锥砂轮的环面蜗轮滚刀前刀面成形方法

杨杰 李海涛 芮成杰 龙新佳妮 魏文军

杨杰, 李海涛, 芮成杰, 等 . 基于双锥砂轮的环面蜗轮滚刀前刀面成形方法[J]. 北京航空航天大学学报, 2018, 44(11): 2423-2429. doi: 10.13700/j.bh.1001-5965.2018.0090
引用本文: 杨杰, 李海涛, 芮成杰, 等 . 基于双锥砂轮的环面蜗轮滚刀前刀面成形方法[J]. 北京航空航天大学学报, 2018, 44(11): 2423-2429. doi: 10.13700/j.bh.1001-5965.2018.0090
YANG Jie, LI Haitao, RUI Chengjie, et al. Forming method of hourglass worm gear hob rake faces based on double-cone grinding wheel[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(11): 2423-2429. doi: 10.13700/j.bh.1001-5965.2018.0090(in Chinese)
Citation: YANG Jie, LI Haitao, RUI Chengjie, et al. Forming method of hourglass worm gear hob rake faces based on double-cone grinding wheel[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(11): 2423-2429. doi: 10.13700/j.bh.1001-5965.2018.0090(in Chinese)

基于双锥砂轮的环面蜗轮滚刀前刀面成形方法

doi: 10.13700/j.bh.1001-5965.2018.0090
基金项目: 

国家自然科学基金 51475460

详细信息
    作者简介:

    杨杰  男, 博士研究生。主要研究方向:环面蜗杆传动及蜗轮滚刀加工制造

    李海涛  男, 博士, 副教授, 博士生导师。主要研究方向:齿轮传动、环面蜗杆传动及蜗轮滚刀加工制造

    通讯作者:

    李海涛, E-mail:h.li@cau.edu.cn

  • 中图分类号: TH132.4

Forming method of hourglass worm gear hob rake faces based on double-cone grinding wheel

Funds: 

National Natural Science Foundation of China 51475460

More Information
  • 摘要:

    多头环面蜗轮滚刀通常采用螺旋槽,以降低刀齿负前角的绝对值、并均衡每个刀齿左右两侧的前角,从而提高滚刀的切削性能。由于环面蜗轮滚刀螺旋线上各处的螺旋升角不同,所以各个刀齿左右两侧的前角均衡问题更为复杂,鲜有螺旋槽前刀面的精确成形方法的研究。基于环面蜗杆专用数控机床,提出采用双锥砂轮磨削螺旋槽环面蜗轮滚刀前刀面的方法,根据齿轮啮合理论,建立由双锥产形面展成平面二次包络环面蜗轮滚刀螺旋槽前刀面的数学模型,给出每个刀齿两侧在分度环面螺旋线上的前角计算公式。算例计算结果表明:如果采用直槽滚刀,对应的前角在-19.530 3°~19.530 4°;通过合理的参数选择,可使得螺旋槽滚刀对应的前角在-8.1°~7.3°,有效减小了刀齿负前角的绝对值。对环面蜗轮滚刀螺旋槽进行仿真加工,并且在仿真软件中对前角进行测量,测量结果与计算结果相吻合,证明本文方法的正确性。

     

  • 图 1  加工前刀面的坐标系

    Figure 1.  Coordinate systems of rake face machining

    图 2  双锥产形面

    Figure 2.  Double-cone grinding surface

    图 3  砂轮在刀座静坐标系中的位置

    Figure 3.  Position of grinding wheel in tool holder's static coordinate system

    图 4  不同容屑槽两侧前角变化规律

    Figure 4.  Change law of rake angles on both sides of different spiral flutes

    图 5  仿真加工滚刀过程

    Figure 5.  Simulation of processing hob process

    图 6  测量分度环面上刀齿两侧的夹角

    Figure 6.  Measured angle between sides of the teeth on indexing tours

    表  1  平面二次包络环面蜗轮滚刀及双锥砂轮的基本参数[6]

    Table  1.   Basic parameters of planar double enveloping hourglass worm gear hob and double-cone grinding wheel [6]

    参数 数值
    中心距a/mm 160
    速比i12 10
    滚刀头数z1 4
    蜗轮分度圆压力角α/(°) 21.8667
    蜗轮分度圆直径d2/mm 255
    蜗杆分度圆直径d1/mm 65
    滚刀齿顶圆弧半径Ra1/mm 122.24
    滚刀齿根圆弧半径Rf1/mm 133.24
    滚刀工作长度Lw/mm 90
    滚刀喉部分度圆导程角γm/(°) 21.4205
    产形平面轴线倾角β/(°) 22.5
    主基圆直径db/mm 95
    下载: 导出CSV

    表  2  直槽前刀面对应分度环面上各刀齿左右两侧的前角

    Table  2.   Rake angles of both sides of each tooth on indexing torus corresponding to rake face of hob with straight flutes

    齿号 左侧 右侧
    前角/(°) 轴向位置/mm 前角/(°) 轴向位置/mm
    1号 -15.7159 -43.5 16.9998 -35.8
    2号 -18.1932 -24.5 19.0122 -15.4
    3号 -19.5303 -4.71 19.5304 4.71
    4号 -19.0126 15.4 18.1937 24.5
    5号 -17.0004 35.8 15.7165 43.5
    下载: 导出CSV

    表  3  螺旋槽前刀面对应分度环面上各刀齿左右两侧的前角

    Table  3.   Rake angles of both sides of each tooth on indexing torus corresponding to rake face of hob with spiral flutes

    齿号 左侧 右侧
    前角/(°) 轴向位置/mm 前角/(°) 轴向位置/mm
    1号 5.5645 -37.6659 -5.4788 -30.6111
    2号 6.6612 -21.2130 3.0636 -13.3234
    3号 7.2522 -4.1854 6.2043 3.9941
    4号 1.6208 13.3526 0.7470 21.4250
    5号 -1.3445 31.1470 -8.1071 38.3567
    下载: 导出CSV

    表  4  测量螺旋槽前刀面对应分度环面上各刀齿左右两侧的前角

    Table  4.   Measured rake angles of both sides of each tooth on indexing torus corresponding to rake face of hob with spiral flutes

    齿号 左侧 右侧
    前角/(°) 轴向位置/mm 前角/(°) 轴向位置/mm
    1号 5.6286 -37.6659 -5.3759 -30.6111
    2号 6.3011 -21.2130 2.5098 -13.3234
    3号 7.1336 -4.1854 5.6398 3.9941
    4号 1.6094 13.3526 0.1771 21.4250
    5号 -1.0385 31.1470 -8.3156 38.3567
    下载: 导出CSV
  • [1] 董学朱.环面蜗杆传动设计和修形[M].北京:机械工业出版社, 2004:14-15.

    DONG X Z.Design and modification of enveloping worm gearing[M].Beijing:Mechanical Industry Press, 2004:14-15(in Chinese).
    [2] 罗文军, 陈永洪, 张光辉.平面包络环面蜗杆齿面的螺旋线误差检测及溯源[J].西南交通大学学报, 2015, 50(2):279-285. doi: 10.3969/j.issn.0258-2724.2015.02.011

    LUO W J, CHEN Y H, ZHANG G H.Helix error testing and tracing on planar enveloping hourglass worm tooth surface[J].Journal of Southwest Jiaotong University, 2015, 50(2):279-285(in Chinese). doi: 10.3969/j.issn.0258-2724.2015.02.011
    [3] 郝建军, 张光辉, 施全.环面蜗轮滚刀可重磨性研究与应用——环面蜗轮滚刀理论分析[J].重庆理工大学学报(自然科学版), 2010, 24(6):23-28. doi: 10.3969/j.issn.1674-8425-B.2010.06.006

    HAO J J, ZHANG G H, SHI Q.Research and application on annular worm gear hob rlieving grinding-Annular worm gear hob theory[J].Journal of Chongqing University of Technology (Natural Science Edition), 2010, 24(6):23-28(in Chinese). doi: 10.3969/j.issn.1674-8425-B.2010.06.006
    [4] 唐建生.金属切削与刀具[M].武汉:武汉理工大学出版社, 2009:188-189.

    TANG J S.Cutting and cutting tools[M].Wuhan:Wuhan University of Technology Press, 2009:188-189(in Chinese).
    [5] ZHAO Y P, SU D Z, ZHANG Z.Meshing analysis and technological parameters selection of dual tori double-enveloping toroidal worm drive[J].Mechanism and Machine Theory, 2010, 45(9):1269-1285. doi: 10.1016/j.mechmachtheory.2010.04.004
    [6] 周良墉.环面蜗杆修型原理及制造技术[M].长沙:国防科技大学出版社, 2005:558-559.

    ZHOU L Y.The modification principle and manufacturing technology of hourglass worm[M].Changsha:National University of Defense Technology Press, 2005:558-559(in Chinese).
    [7] 董李扬.包络环面蜗杆副蜗轮滚刀数控加工技术的研究[D].北京: 中国农业大学, 2013: 15-20.

    DONG L Y.Research on NC machining technology of enveloping worm gear hob[D].Beijing: China Agricultural University, 2013: 15-20(in Chinese).
    [8] 柳冠伊.包络环面蜗轮滚刀数控成形理论及技术研究[D].北京: 中国农业大学, 2016: 13-14. http://cdmd.cnki.com.cn/Article/CDMD-10019-1016085319.htm

    LIU G Y.Research on CNC relief grinding technology of enveloping worm gear hob[D].Beijing: China Agricultural University, 2016: 13-14(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10019-1016085319.htm
    [9] YANG J, LI H T, RUI C J.Research on a generating method of spiral flutes of hourglass worm gear hob[C]//Proceedings of the ASME Design Engineering Technical Conference.NewYork: ASME, 2017: 10.
    [10] 杨杰, 李海涛, 芮成杰, 等.环面蜗轮滚刀螺旋槽前刀面设计及修正方法[J].北京航空航天大学学报, 2008, 44(9):1878-1887. http://bhxb.buaa.edu.cn/CN/abstract/abstract14583.shtml

    YANG J, LI H T, RUI C J, et al.Design and correct method of spiral flutes rake face of an hourglass worm gear hob[J].Journal of Beijing University of Aeronautics and Astronautics, 2008, 44(9):1878-1887(in Chinese). http://bhxb.buaa.edu.cn/CN/abstract/abstract14583.shtml
    [11] YANG J, LI H T, RUI C J, et al.A method to generate the spiral flutes of an hourglass worm gear hob[J].International Journal of Mechanical Design, 2018, 140(6):063301. doi: 10.1115/1.4039769
    [12] GUNAY M.Investigation of the effect of rake angle on main cutting force[J].International Journal of Machine Tools & Manufacture, 2004, 44(9):953-959. http://www.sciencedirect.com/science/article/pii/S0890695504000197
    [13] GUNAY M.Experimental investigation of the effect of cutting tool rake angle on main cutting force[J].Journal of Materials Processing Technology, 2005, 166(1):44-49. doi: 10.1016/j.jmatprotec.2004.07.092
    [14] SAGLAM H, UNSACAR F, YALDIZ S.Investigation of the effect of rake angle and approaching angle on main cutting force and tool tip temperature[J].International Journal of Machine Tools and Manufacture, 2006, 46(2):132-141. doi: 10.1016/j.ijmachtools.2005.05.002
    [15] CHANG S L.Helix gash of hob cutter manufactured by milling[J].Journal of Materials Processing Technology, 2003, 142(2):569-575. doi: 10.1016/S0924-0136(03)00661-7
    [16] 舒勤业.双锥面二次包络环面蜗杆副及其关键制造装备的设计与研究[D].杭州: 浙江大学, 2015: 21-30. http://cdmd.cnki.com.cn/Article/CDMD-10335-1015630213.htm

    SHU Q Y.Design and research of dual-cone double enveloping hourglass worm gear pair and its key manufacturing equipment[D].Hangzhou: Zhejiang University, 2015: 21-30(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10335-1015630213.htm
    [17] 刘杰华.大螺旋槽零前角滚刀前刀面重磨时砂轮廓形的修整计算[J].磨床与磨削, 1996(4):25-26. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK199600443966

    LIU J H.Dressing calculation of the profile of the grinding wheel on the rake face of the hob with zero rake angle[J].Grinding Machine and Grinding, 1996(4):25-26(in Chinese). http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK199600443966
    [18] 陈就, 刘丰林, 康权.一种滚刀径向铲磨优化方法[J].中国机械工程, 2014, 25(14):1883-1887. doi: 10.3969/j.issn.1004-132X.2014.14.008

    CHEN J, LIU F L, KANG Q.An optimization method for hob relief grinding[J].China Mechanical Engineering, 2014, 25(14):1883-1887(in Chinese). doi: 10.3969/j.issn.1004-132X.2014.14.008
    [19] LITVIN F L.Theory of gearing[M].Washington, D.C.:NASA Reference Publication, 1989:57-62.
    [20] 董学朱.齿轮啮合理论基础[M].北京:机械工业出版社, 1989:90-92.

    DONG X Z.Gear meshing theory[M].Beijing:China Machine Press, 1989:90-92(in Chinese).
    [21] 吴序堂.齿轮啮合理论[M].2版.西安:西安交通大学出版社, 2009:104-110.

    WU X T.Gear meshing theory[M].2nd ed.Xi'an:Xi'an Jiao Tong University Press, 2009:104-110(in Chinese).
    [22] 姜正健, 张伟, 李铸宇.微钻的前角计算及其钻削试验[J].大连工业大学学报, 2011, 30(2):145-147. doi: 10.3969/j.issn.1674-1404.2011.02.019

    JIANG Z J, ZHANG W, LI Z Y.Calculation of the rake angle of micro drill and drilling test[J].Journal of Dalian Institute of Light Industry, 2011, 30(2):145-147(in Chinese). doi: 10.3969/j.issn.1674-1404.2011.02.019
    [23] LIU G Y, WEI W J, DONG X Z, et al.Relief grinding of planar double-enveloping worm gear hob using a four-axis CNC grinding machine[J].The International Journal of Advanced Manufacturing Technology, 2016, 89(9-12):3631-3640. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=6d7459311bdc2177b729d67b20c75d7a
    [24] 杨胜群, 唐秀梅.VERICUT数控加工仿真技术[M].北京:清华大学出版社, 2010:77-81.

    YANG S Q, TANG X M.VERICUT NC machining simulation technology[M].Beijing:Tsinghua University Press, 2010:77-81(in Chinese).
  • 加载中
图(6) / 表(4)
计量
  • 文章访问数:  631
  • HTML全文浏览量:  117
  • PDF下载量:  434
  • 被引次数: 0
出版历程
  • 收稿日期:  2018-02-08
  • 录用日期:  2018-03-23
  • 网络出版日期:  2018-11-20

目录

    /

    返回文章
    返回
    常见问答