• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2021, Vol. 57 ›› Issue (3): 207-219.doi: 10.3901/JME.2021.03.207

• 数字化设计与制造 • 上一篇    下一篇

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考虑表面形貌与受力变形的装配精度分析方法

刘检华1, 张志强2, 夏焕雄1, 巩浩1, 邵楠1   

  1. 1. 北京理工大学机械与车辆学院 北京 100081;
    2. 北京卫星制造厂 北京 100094
  • 收稿日期:2020-06-10 修回日期:2020-12-15 出版日期:2021-02-05 发布日期:2021-03-16
  • 通讯作者: 夏焕雄(通信作者),男,1987年出生,博士,副研究员。主要研究方向为多相流-多场耦合建模仿真、胶粘连接、精密装配。E-mail:hxia@bit.edu.cn
  • 作者简介:刘检华,男,1977年出生,博士,教授,博士研究生导师。主要研究方向为产品装配与检测技术。E-mail:jeffliu@bit.edu.cn;张志强,男,1993年出生,博士,工程师。主要研究方向为装配精度分析技术。E-mail:ericzhangbit@163.com;巩浩,男,1992年出生,博士后。主要研究方向为螺纹高可靠性连接、精密装配。E-mail:gonghao0220@163.com;邵楠,男,1994年出生,博士研究生。主要研究方向为公差分析技术。E-mail:iamshaonan@126.com
  • 基金资助:
    国家自然科学基金(51935003)和北京市自然科学基金(3204054)资助项目。

Assembly Accuracy Analysis with Consideration of Form Defects and Surface Deformations

LIU Jianhua1, ZHANG Zhiqiang2, XIA Huanxiong1, GONG Hao1, SHAO Nan1   

  1. 1. School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081;
    2. Beijing Spacecraft, Beijing 100094
  • Received:2020-06-10 Revised:2020-12-15 Online:2021-02-05 Published:2021-03-16

摘要: 提高精度是机械制造学科永恒的追求目标之一,随着精密机电产品不断追求更高精度,装配精度分析的精确性要求也在不断提高,在此背景下,提出综合考虑表面形貌与受力变形的装配精度分析方法。首先,以非理想表面模型为基础,通过小位移旋量模型以及基函数线性叠加方法分别对定位/定向误差、形状误差进行建模;并基于共轭梯度-快速傅里叶变换算法,建立不同类型非理想配合表面的接触变形计算方法;然后,以改进多面体模型进行装配偏差累积计算,实现了综合考虑表面形貌与受力变形的装配精度分析;最后,通过实例,对比分析了是否采用非理想表面模型以及是否考虑受力变形条件下装配精度分析的结果差异。数值研究结果表明,所提方法能够提高装配精度分析的准确性,从而为精密机械产品精度设计提供更为准确的指导。

关键词: 装配精度分析, 受力变形, 表面形貌, 公差分析, 公差设计

Abstract: Improving accuracy is one of the permanently pursued goals of the mechanical manufacturing discipline. With the continuous pursuit of higher precision for precision eletromechanical products, the accuracy requirements of tolerance analysis are also continuously improved. Hence, a method for assembly accuracy analysis with consideration of form defects and surface deformations is proposed. First, the positioning/orientation errors and form error are modeled by a small displacement torsor model and a linear basis function superposition method, respectively, based on the skin model shapes. Then, the contact deformations of different types of non-ideal matching surfaces are calculated by applying a conjugate gradient-fast Fourier transform algorithm. Thereafter, a modified polytope model is used to calculate the cumulative assembly deviations to achieve assembly accuracy analysis with a combined consideration of form defects and surface deformations. Finally, the differences of the instances considering the form defects and surface deformations whether or not are compared. The numerical results indicate that the proposed method can improve the accuracy of assembly accuracy analysis and provide more accurate guidance for product tolerance design.

Key words: assembly accuracy analysis, surface deformations, form defects, tolerance analysis, tolerance design

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