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砂轮表面的磨料球自组装叶序排布原理

李胜泽 吕玉山 李兴山 南杰洪

李胜泽, 吕玉山, 李兴山, 南杰洪. 砂轮表面的磨料球自组装叶序排布原理[J]. 金刚石与磨料磨具工程, 2024, 44(5): 644-651. doi: 10.13394/j.cnki.jgszz.2023.0184
引用本文: 李胜泽, 吕玉山, 李兴山, 南杰洪. 砂轮表面的磨料球自组装叶序排布原理[J]. 金刚石与磨料磨具工程, 2024, 44(5): 644-651. doi: 10.13394/j.cnki.jgszz.2023.0184
LI Shengze, LYU Yushan, LI Xingshan, NAN Jiehong. Principle of self-assembly of abrasive balls on surface of grinding wheels into phyllotaxis arrangement[J]. Diamond & Abrasives Engineering, 2024, 44(5): 644-651. doi: 10.13394/j.cnki.jgszz.2023.0184
Citation: LI Shengze, LYU Yushan, LI Xingshan, NAN Jiehong. Principle of self-assembly of abrasive balls on surface of grinding wheels into phyllotaxis arrangement[J]. Diamond & Abrasives Engineering, 2024, 44(5): 644-651. doi: 10.13394/j.cnki.jgszz.2023.0184

砂轮表面的磨料球自组装叶序排布原理

doi: 10.13394/j.cnki.jgszz.2023.0184
基金项目: 国家自然科学基金(51875368)。
详细信息
    作者简介:

    吕玉山,男,1961年生,教授,硕士生导师。主要研究方向:高效精密磨削技术和叶序仿生技术等。E-mail:yushan_lu@aliyun.com

  • 中图分类号: TG74+3

Principle of self-assembly of abrasive balls on surface of grinding wheels into phyllotaxis arrangement

  • 摘要: 为实现磨料球在砂轮基体表面有序化的自组装,提出一种叶序排布磨料球砂轮的自组装制造方法。从有界空间球体最密堆积结构原理与植物组织的柱面叶序结构理论出发,设计一种磨料球自组装砂轮的实验方法。首先对磨料球自组装过程进行仿真分析,然后探讨相关尺寸参数与自组装结构之间的关系,并经过计算得到不同尺寸参数下磨料球自组装结构。结果表明:通过自组装方法能实现磨料球在砂轮基体表面的叶序排布;当磨料球直径恒定时,磨料球在砂轮基体表面形成的叶序排布结构的叶序系数随着砂轮基体直径的增大而减小;当砂轮基体直径恒定时,磨料球在砂轮基体表面形成的叶序排布结构的叶序系数随着磨料球直径的增大而增大。

     

  • 图  1  约束桶与砂轮位置

    Figure  1.  Constrained barrel and grinding wheel position

    图  2  仿真结果图

    Figure  2.  Simulation result

    图  3  柱面展开相关参数关系图

    Figure  3.  Relationship of cylindrical expansion related parameters

    图  4  直径5.0 mm磨料球颗粒自组装结果与球中心位置的柱面展开图

    Figure  4.  Self-assembly results of 5.0 mm abrasive ball particles and cylindrical expansion of center position of the ball

    图  5  直径 30 mm砂轮基体自组装结果与球中心位置的柱面展开图

    Figure  5.  Self-assembly results of the 30 mm grinding wheel substrate and cylindrical expansion diagram of center position of the ball

    图  6  自组装实验装置

    Figure  6.  Self-assembly experimental device

    图  7  磨料球有序化自组装实验结果

    Figure  7.  Experimental results of ordered self-assembly of abrasive balls

    表  1  磨料球与约束桶的材料特性

    Table  1.   Material properties of abrasice balls and confined barrels

    物理参数 泊松比 μ 剪切模量 G / GPa 密度 ρ / (kg·m−3)
    磨料球颗粒 0.30 105 2 400
    约束桶 0.25 55 2 500
    下载: 导出CSV

    表  2  表面的接触特性

    Table  2.   Surface contact characteristics

    接触参数 恢复系数 k1 静摩擦因数 k2 动摩擦因数 k3
    球粒-球粒 0.10 0.30 0.01
    球粒-桶 0.20 0.50 0.01
    下载: 导出CSV

    表  3  不同砂轮直径结构参数表

    Table  3.   Structure parameter table of different grinding wheel diameters

    砂轮基体直径 D1 / mm 叶序模式 叶序系数 r 生长角 d / (°)
    30 (9,7) 0.198 9 158.220 7
    35 4(4,3) 0.182 0 154.547 0
    40 (5,19) 0.159 9 74.604 6
    45 5(3,4) 0.145 2 71.985 6
    下载: 导出CSV

    表  4  不同磨料球直径结构参数表

    Table  4.   Structure parameters of different abrasive ball diameters

    磨料球直径 D2 / mm 叶序模式 叶序系数 r 生长角 d / (°)
    4.5 (15,13) 0.156 6 167.173 0
    5.5 (11,6) 0.227 4 62.821 5
    6.5 (8,9) 0.454 1 42.924 8
    7.0 (5,6) 0.480 2 63.607 4
    下载: 导出CSV

    表  5  不同砂轮直径结构参数表

    Table  5.   Structure parameter table of different grinding wheel diameters

    砂轮基体直径 D1 / mm 叶序模式 叶序系数 r 生长角 d / (°)
    30 (7,8) 0.213 1 161.780 4
    35 5(3,2) 0.193 9 154.322 6
    40 (5,19) 0.178 1 79.284 8
    45 (14,19) 0.144 3 76.661 5
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-09-01
  • 修回日期:  2023-11-18
  • 录用日期:  2023-12-15
  • 刊出日期:  2024-10-01

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