基于Bézier曲线的柔性曲面装配变动分析

刘振宇; 周石恩; 程锦; 裘辿; 谭建荣

doi:10.1631/FITEE.1601619

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基于Bézier曲线的柔性曲面装配变动分析

常规文章 | Updated：2022-05-19

- 基于Bézier曲线的柔性曲面装配变动分析
- Assembly variation analysis of flexible curved surfaces based on Bézier curves
- 信息与电子工程前沿（英文） 2018年19卷第6期页码：796-808
- Affiliations：
  
  State Key Lab of CAD & CG, Zhejiang University, Hangzhou 310027, China
- Author bio：
  
  Jin CHENG, E-mail: cjinpjun@zju.edu.cn
- Funds：
  
  Project supported by the National Natural Science Foundation of China (Nos. 51490663, 51475418, and U1608256) and the National Basic Research Program (973) of China (No. 2015CB058100)
- DOI：10.1631/FITEE.1601619
  中图分类号： TH161+.7
- 收稿：2016-10-10，
  
  修回：2018-;6-;8，
  
  纸质出版：2018-06
- Accepted：
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刘振宇, 周石恩, 程锦, 等. 基于Bézier曲线的柔性曲面装配变动分析[J]. 信息与电子工程前沿（英文）, 2018,19(6):796-808.

Zhen-yu LIU, Shi-en ZHOU, Jin CHENG, et al. Assembly variation analysis of flexible curved surfaces based on Bézier curves[J]. Frontiers of Information Technology & Electronic Engineering, 2018, 19(6): 796-808.
刘振宇, 周石恩, 程锦, 等. 基于Bézier曲线的柔性曲面装配变动分析[J]. 信息与电子工程前沿（英文）, 2018,19(6):796-808. DOI： 10.1631/FITEE.1601619.

Zhen-yu LIU, Shi-en ZHOU, Jin CHENG, et al. Assembly variation analysis of flexible curved surfaces based on Bézier curves[J]. Frontiers of Information Technology & Electronic Engineering, 2018, 19(6): 796-808. DOI： 10.1631/FITEE.1601619.

摘要

在装配过程中，柔性零件表面特征会发生形状变化，相比刚性体，其变动分析复杂许多。现有柔性装配变动分析方法大多未考虑零件表面邻近点的相互关系，或者将零件表面上所有特征点的概率分布情况视为统一。本文将柔性曲面零件装配简化为边侧线匹配问题，提出基于Bézier曲线来表征曲面零件边侧线的方法，解决了柔性零件装配中考虑表面连续性的曲面零件装配变动分析问题。该方法利用控制点变动来获取零件边侧线上特征点的偏差，并将它们作为输入参数进行有限元分析，从而计算出最终产品变形量。通过天线表面装配的两个实例，对所提方法进行了验证。

Abstract

Assembly variation analysis of parts that have flexible curved surfaces is much more difficult than that of solid bodies

because of structural deformations in the assembly process. Most of the current variation analysis methods either neglect the relationships among feature points on part surfaces or regard the distribution of all feature points as the same. In this study

the problem of flexible curved surface assembly is simplified to the matching of side lines. A methodology based on Bézier curves is proposed to represent the side lines of surfaces. It solves the variation analysis problem of flexible curved surface assembly when considering surface continuity through the relations between control points and data points. The deviations of feature points on side lines are obtained through control point distribution and are then regarded as inputs in commercial finite element analysis software to calculate the final product deformations. Finally

the proposed method is illustrated in two cases of antenna surface assembly.

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references

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