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一种阵列式柔性夹具的工件定位方法

刘宇 龚集响 皮兴来

刘宇, 龚集响, 皮兴来. 一种阵列式柔性夹具的工件定位方法[J]. 机械科学与技术, 2020, 39(4): 574-580. doi: 10.13433/j.cnki.1003-8728.20190177
引用本文: 刘宇, 龚集响, 皮兴来. 一种阵列式柔性夹具的工件定位方法[J]. 机械科学与技术, 2020, 39(4): 574-580. doi: 10.13433/j.cnki.1003-8728.20190177
Liu Yu, Gong Jixiang, Pi Xinglai. A Workpiece Positioning Method of an Array Type Flexible Fixture[J]. Mechanical Science and Technology for Aerospace Engineering, 2020, 39(4): 574-580. doi: 10.13433/j.cnki.1003-8728.20190177
Citation: Liu Yu, Gong Jixiang, Pi Xinglai. A Workpiece Positioning Method of an Array Type Flexible Fixture[J]. Mechanical Science and Technology for Aerospace Engineering, 2020, 39(4): 574-580. doi: 10.13433/j.cnki.1003-8728.20190177

一种阵列式柔性夹具的工件定位方法

doi: 10.13433/j.cnki.1003-8728.20190177
基金项目: 

福建省科技重大专项项目 2016HZ0001-6

详细信息
    作者简介:

    刘宇(1977-), 副教授, 研究方向为数字化设计与制造、机器人感知与操作, mseliuyu@xmu.edu.cn

  • 中图分类号: TH161;TG759

A Workpiece Positioning Method of an Array Type Flexible Fixture

  • 摘要: 提出了一种阵列式柔性夹具的工件定位方法。该方法首先采用投影法将工件和柔性夹具之间的定位问题转化为平面图形之间的定位问题,并基于平面区域和点的包含关系生成多组定位方案。然后通过计算定位雅可比矩阵的秩,确定了定位方案的可靠性。最后建立了工件制造误差、定位元件的安装和制造误差到工件定位误差的传递模型,并根据对工件定位的误差要求来计算定位方案的准确性,按照最大偏差最小化的准则来选择最准确的定位方案。工件在阵列式柔性夹具上定位的实例表明所提出的方法能获得满足定位可靠性和准确性要求的定位方案。
  • 图  1  阵列式柔性夹具

    图  2  通过投影确定工件在夹具上的位置和选择定位支柱

    图  3  定位源误差对工件定位误差的影响

    图  4  餐盘的4种定位方案

    图  5  果盘盖的4种定位方案

    表  1  餐盘的4种定位方案中接触点坐标和单位法向量

    支柱(rciw)T(niw)T
    (2, 2)[64.061 7, 47.870 0, 0][0, 0, -1]
    (7, 2)[64.061 7, 247.870 0, 0][0, 0, -1]
    (7, 11)[424.061 7, 247.870 0, 0][0, 0, -1]
    (1, 2)[64.061 7, 7.870 0, 7.573 1][-0.127 6, -0.705 8, -0.696 8]
    (1, 11)[424.061 7, 7.870 0, 7.559 4][0.127 9, -0.706 1, -0.696 5]
    (3, 1)[24.061 7, 87.870 0, 16.014 8][-0.444 5, -0.046 3, -0.894 6]
    (2, 7)[264.061 7, 47.870 0, 0][0, 0, -1]
    (6, 1)[24.061 7, 207.870 0, 16.016 0][-0.444 4 0.0463-0.894 6]
    (7, 7)[424.061 7, 207.870 0, 0][0, 0, -1]
    (2, 11)[424.061 7, 167.870 0, 0][0, 0, -1]
    (8, 2)[424.061 7, 47.870 0, 0][0, 0, -1]
    (8, 11)[424.061 7, 287.870 0, 7.564 3][0.127 6 0.706 0-0.696 6]
    (3, 12)[464.061 7, 87.870 0, 16.016 5][0.444 4-0.046 3-0.894 6]
    (6, 12)[464.061 7, 207.870 0, 16.014 4][0.444 5 0.046 3-0.894 6]
    下载: 导出CSV

    表  2  果盘盖的4种定位方案中接触点坐标和单位法向量

    支柱(rciw)T(niw)T
    (7, 5)[-60, 106.875 4, 39.256 8][-0.711 6, 0.525 9, -0.466 0]
    (2, 5)[-60, -93.124 6, 14.529 0][-0.247 4, -0.431 7, -0.867 4]
    (2, 8)[60, -93.124 6, 14.529 0][0.247 4, -0.431 7, -0.867 4]
    (5, 3)[-140, 26.875 4, 50.361 9][-0.913 3, 0.073 5, -0.400 7]
    (5, 10)[140, 26.875 4, 50.361 9][0.913 3, 0.073 5, -0.400 7]
    (5, 6)[-20, 26.875 4, 24.614 5][0.192 8, -0.259 0, -0.946 4]
    (2, 4)[-100, -93.124 6, 41.556 7][-0.715 9, -0.473 2, -0.513 4]
    (2, 9)[100, -93.124 6, 41.556 7][0.715 9, -0.473 2, -0.513 4]
    (4, 6)[-20, -13.124 6, 26.993 8][0.140 2, 0.092 0, -0.985 8]
    (6, 3)[-140, 66.875 4, 68.500 7][0, 0, -1]
    (6, 10)[140, 66.875 4, 68.500 7][0, 0, -1]
    (2, 6)[-20, -93.124 6, 10.421 0][0.052 9, -0.458 2, -0.887 3]
    (2, 7)[20, -93.124 6, 10.421 0][-0.052 9, -0.458 2, -0.887 3]
    (7, 7)[20, 106.875 4, 14.257 9][0.173 4, 0.470 3, -0.865 3]
    (5, 7)[20, 26.875 4, 24.614 5][-0.192 8, -0.259 0, -0.946 4]
    下载: 导出CSV

    表  3  餐盘的四种定位方案的定位误差

    方案δxδyδzδαδβδγmax{|δx|, |δy|, |δz|}max{|δα|, |δβ|, |δγ|}
    1[-0.035 4,
    0.039 9]
    [-0.025 6,
    0.030 1]
    [-0.005 0
    0.010 0]
    [-0.000 1,
    0.000 1]
    [-0.000 0,
    0.000 0]
    [-0.000 1,
    0.000 1]
    0.039 90.000 1
    2[-0.073 1,
    0.077 6]
    [-0.043 0,
    0.047 5]
    [-0.012 1,
    0.016 6]
    [-0.000 1,
    0.000 1]
    [-0.000 0,
    0.000 0]
    [-0.000 4,
    0.000 4]
    0.077 60.000 4
    3[-0.038 5,
    0.043 0]
    [-0.032 2,
    0.036 7]
    [-0.006 0,
    0.010 5]
    [-0.000 1,
    0.000 1]
    [-0.000 0,
    0.000 0]
    [-0.000 1,
    0.000 1]
    0.043 00.000 1
    4[-0.171 3,
    0.175 8]
    [-0.105 5,
    0.110 0]
    [-0.005 5,
    0.010 0]
    [-0.000 1,
    0.000 1]
    [-0.000 0,
    0.000 0]
    [-0.001 2,
    0.001 2]
    0.175 80.001 2
    下载: 导出CSV

    表  4  果盘盖的四种定位方案的定位误差

    方案δxδyδzδαδβδγmax{|δx|, |δy|, |δz|}max{|δα|, |δβ|, |δγ|}
    1[-0.044 3,
    0.046 3]
    [-0.066 0,
    0.068 0]
    [-0.011 1
    0.013 1]
    [-0.000 3,
    0.000 3]
    [-0.000 3,
    0.000 3]
    [-0.000 8,
    0.000 8]
    0.068 00.000 8
    2[-0.079 3,
    0.081 3]
    [-0.149 2,
    0.151 2]
    [-0.011 4,
    0.013 4]
    [-0.001 1,
    0.001 1]
    [-0.000 7,
    0.000 7]
    [-0.000 4,
    0.000 4]
    0.151 20.001 1
    3[-0.110 6,
    0.112 6]
    [-0.108 3,
    0.110 3]
    [-0.019 4,
    0.021 4]
    [-0.000 4,
    0.000 4]
    [-0.000 0,
    0.000 0]
    [-0.000 8,
    0.000 8]
    0.112 60.000 8
    4[-0.031 1,
    0.033 1]
    [-0.066 6,
    0.068 6]
    [-0.006 9,
    0.008 9]
    [-0.000 4,
    0.000 4]
    [-0.000 3,
    0.000 3]
    [-0.000 3,
    0.000 3]
    0.068 60.000 4
    下载: 导出CSV
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  • 收稿日期:  2019-02-20
  • 刊出日期:  2020-04-05

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