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基于Kriging模型的滚动直线导轨副耐磨性优化设计

林道杰 梁医 朱燕芳 欧屹 冯虎田

林道杰, 梁医, 朱燕芳, 等. 基于Kriging模型的滚动直线导轨副耐磨性优化设计[J]. 航空动力学报, 2024, 39(8):20220078 doi: 10.13224/j.cnki.jasp.20220078
引用本文: 林道杰, 梁医, 朱燕芳, 等. 基于Kriging模型的滚动直线导轨副耐磨性优化设计[J]. 航空动力学报, 2024, 39(8):20220078 doi: 10.13224/j.cnki.jasp.20220078
LIN Daojie, LIANG Yi, ZHU Yanfang, et al. Wear optimization design of rolling linear guide based on Kriging model[J]. Journal of Aerospace Power, 2024, 39(8):20220078 doi: 10.13224/j.cnki.jasp.20220078
Citation: LIN Daojie, LIANG Yi, ZHU Yanfang, et al. Wear optimization design of rolling linear guide based on Kriging model[J]. Journal of Aerospace Power, 2024, 39(8):20220078 doi: 10.13224/j.cnki.jasp.20220078

基于Kriging模型的滚动直线导轨副耐磨性优化设计

doi: 10.13224/j.cnki.jasp.20220078
基金项目: 国家自然科学基金青年基金(51405233); 丽水经济技术开发区重点研发计划项目(2022KFQZDYF8)
详细信息
    作者简介:

    林道杰(1997-),男,硕士生,研究方向为滚动功能部件摩擦磨损性能

  • 中图分类号: V222;TP211.2

Wear optimization design of rolling linear guide based on Kriging model

More Information
    Corresponding author: 通信作者:梁医(1974−),女,副教授,硕士,主要从事一般金属零件表面的摩擦及磨损机理与规律研究。E-mail : liangyi@mail.njust.edu.cn
  • 摘要:

    为提升滚动直线导轨副耐磨性,结合导轨副摩擦磨损试验及理论分析,将最大碰撞力,最大接触应力,摩擦阻力作为导轨副耐磨性能的表征和优化目标。根据设计要求,确定滑块反力约束函数和结构参数约束范围。通过分析模型的参数灵敏度,选取初始接触角,滑块滚道曲率比,滚珠直径和导轨高度增量作为设计变量;优化使用CCRD联合Kriging响应面构建代理模型;通过NSGA-Ⅱ算法,使结构在最大接触应力仅增加4.33%的情况下,摩擦阻力降低2.09%,最大碰撞力降低15.00%。设计变量中滚珠直径由5.56 mm降低至5.1744 mm,初始接触角由45°降低至38.878°,两者变动最大。基于Spearman相关性分析,可知滚珠直径与滑块反力相关系数值为0.23,初始接触角与滑块反力系数值达到−0.82,两者在优化中相互平衡达到最优解。

     

  • 图 1  滚珠循环碰撞示意图

    Figure 1.  Schematic diagram of ball cyclic collision

    图 2  不同试验工况下滑块滚道至反向器过渡处形貌

    Figure 2.  Morphology of the slider raceway at the transition point of the inverter under different conditions

    图 3  导轨副截面尺寸

    Figure 3.  Sectional dimension of linear guide

    图 4  导轨副滚道摩擦阻力示意图

    Figure 4.  Diagram of friction resistance of linear guide raceway

    图 5  导轨副垂直受载示意图

    Figure 5.  Schematic diagram of vertical loading on linear guide

    图 6  接触角变化示意图

    Figure 6.  Schematic diagram of contact angle change

    图 7  导轨副静刚度试验图

    Figure 7.  Static stiffness test diagram of linear guide

    图 8  模型初步处理

    Figure 8.  Preliminary model processing

    图 9  剖分线示意图

    Figure 9.  Diagram of dividing line

    图 10  滚道应力分布有限元结果

    Figure 10.  FEM result of raceway stress

    图 11  Kriging响应面模型

    Figure 11.  Kriging response surface model

    图 12  优化流程

    Figure 12.  Optimize process

    表  1  有限元模型结果

    Table  1.   FEM Model results

    参数试验数据求解结果修正结果误差
    Fry2/N840015344.88439.610.5%
    下载: 导出CSV

    表  2  参数灵敏度表

    Table  2.   Parameter sensitivity table

    参数 Fm Ff σmax Fry2
    Da 0.93 0.14 −0.19 0.23
    α −0.01 −0.27 −0.18 −0.81
    G1 0 −0.05 −0.04 −0.05
    f −0.26 −0.91 0.92 −0.43
    Xa 0.28 −0.03 −0.03 −0.02
    下载: 导出CSV

    表  3  相关系数矩阵表

    Table  3.   Correlation coefficient matrix

    项目 Fry2 Fm Ff σmax
    Fry2 1 0.32 0.70 −0.23
    Fm 1 0.33 −0.40
    Ff 1 −0.75
    σmax 1
    下载: 导出CSV

    表  4  优化结果

    Table  4.   Optimization results

    项目/单位 原结果 优化结果
    σmax/MPa 2215.2 2283.6
    Ff /N 7.9009 7.3739
    Fm/N 244.36 207.33
    Da/mm 5.56 5.1744
    α/(°) 45 38.878
    f 0.52 0.52076
    Xa/mm 0 0.24664
    Fry2/N 8439.64 8478.2
    下载: 导出CSV

    表  5  最终结果

    Table  5.   Final result

    项目 σmax /MPa Ff /N Fm/N Fry2 /N
    计算结果 2311.1 7.7351 207.71 8787.9
    变动率/% 4.33 −2.09 −15.00 4.13
    准确率/% 98.81 95.33 99.82 96.48
    下载: 导出CSV

    表  6  结构参数相关系数表

    Table  6.   Correlation coefficient of structural parameters

    结构参数 目标函数与约束函数
    Fry2 Fm Ff σmax
    Da 0.23 0.93 0.14 −0.19
    α −0.82 −0.01 −0.27 −0.19
    下载: 导出CSV
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  • 收稿日期:  2022-02-22
  • 网络出版日期:  2024-03-29

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