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基于微分变换的柔性体小变形装配精度分析

翟晓晨 杜群贵 文奇

翟晓晨, 杜群贵, 文奇. 基于微分变换的柔性体小变形装配精度分析[J]. 西南交通大学学报, 2020, 55(5): 1124-1132. doi: 10.3969/j.issn.0258-2724.20180480
引用本文: 翟晓晨, 杜群贵, 文奇. 基于微分变换的柔性体小变形装配精度分析[J]. 西南交通大学学报, 2020, 55(5): 1124-1132. doi: 10.3969/j.issn.0258-2724.20180480
ZHAI Xiaochen, DU Qungui, WEN Qi. Assembly Accuracy Analysis of Small Deformation of Flexible Body based on Differential Transformation[J]. Journal of Southwest Jiaotong University, 2020, 55(5): 1124-1132. doi: 10.3969/j.issn.0258-2724.20180480
Citation: ZHAI Xiaochen, DU Qungui, WEN Qi. Assembly Accuracy Analysis of Small Deformation of Flexible Body based on Differential Transformation[J]. Journal of Southwest Jiaotong University, 2020, 55(5): 1124-1132. doi: 10.3969/j.issn.0258-2724.20180480

基于微分变换的柔性体小变形装配精度分析

doi: 10.3969/j.issn.0258-2724.20180480
基金项目: 广东省自然科学基金(2016A030313514);广东省科技发展专项资金(前沿与关键技术创新方向-重大科技专项)(2017B090910010)
详细信息
    作者简介:

    翟晓晨(1988—),男,博士研究生,研究方向为不确定因素对机械产品性能的影响,E-mail:zhaixiaochen@126.com

    通讯作者:

    杜群贵(1965—),男,教授,博士生导师,研究方向为车辆、机电工程现代理论与控制,E-mail:ctqgdu@scut.edu.cn

  • 中图分类号: TP391

Assembly Accuracy Analysis of Small Deformation of Flexible Body based on Differential Transformation

  • 摘要: 在产品设计阶段进行装配精度分析时通常以刚体假设为前提,往往忽略外部载荷、温度变化等载荷因素的影响. 在已存在制造误差、装配误差的情况下,载荷因素引起的零件变形会进一步影响装配精度. 因此,本文提出了一种同时考虑制造、装配误差和零件变形的装配精度分析模型. 该模型首先沿尺寸链将变形的公差特征离散化,在每个节点处建立并固结节点坐标系;然后提取节点的变形信息,对目标特征上的每个节点坐标系进行微分变换,实现误差与变形的综合;最后建立了线性化的综合误差分析模型. 研究结果表明:模型不仅克服了传统误差分析模型以刚体假设为前提的局限,得到了零件的局部变形对装配精度的影响,还可极大地减少装配系统几何建模与力学分析的难度和工作量.

     

  • 图 1  TF上的局部坐标系和节点坐标系

    Figure 1.  Local coordinate systems and node coordinate systems on TF

    图 2  装配体的误差传递

    Figure 2.  Error transmission of assembly

    图 3  误差与变形的综合与传递

    Figure 3.  Synthesis and transmission of error and deformation

    图 4  TF上误差与变形的综合

    Figure 4.  Synthesis of errors and deformation on TF

    图 5  3种不同类型坐标系构成的尺寸链

    Figure 5.  Dimensional chain of three different types of coordinate systems

    图 6  变速箱坐标系的建立

    Figure 6.  Establishment of gearbox coordinate system

    图 7  齿轮轴线端点变动凸包的形状与位置

    Figure 7.  Shape and position of convex hulls of the end point of gear shaft

    图 8  X1Y1面内齿轮轴变形

    Figure 8.  Deformation of the gear shaft in the X1Y1 plane

    表  1  齿轮轴线端点处的变形值

    Table  1.   Deformation value of the gear axis end

    端点输出轴的变形/mm端点中间轴的变形/mm
    X13 方向Y13 方向X15 方向Y15 方向
    A0.07562−0.2311C−0.089830.13210
    B0.05764−0.1631D−0.072370.04538
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出版历程
  • 收稿日期:  2017-11-30
  • 修回日期:  2019-05-14
  • 网络出版日期:  2020-07-17
  • 刊出日期:  2020-10-01

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