基于Bézier参数空间包络的改进公差建模方法

doi:10.3901/JME.2021.09.183

机械工程学报 ›› 2021, Vol. 57 ›› Issue (9): 183-190.doi: 10.3901/JME.2021.09.183

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基于Bézier参数空间包络的改进公差建模方法

罗晨, 聂家齐, 周怡君

东南大学机械工程学院南京 211189

收稿日期:2020-06-13 修回日期:2021-01-03 出版日期:2021-05-05 发布日期:2021-06-15
作者简介:罗晨，女，1980年出生，副教授，博士研究生导师。主要研究方向为夹具设计，三维重构，机器视觉，公差建模。E-mail：chenluo@seu.edu.cn
基金资助:
国家自然科学基金（51975119，51575107）和江苏省重点研发计划（BE2019022）资助项目。

An Improved Tolerance Modeling Method Based on Bézier Parametric Space Envelope

LUO Chen, NIE Jiaqi, ZHOU Yijun

School of Mechanical Engineering, Southeast University, Nanjing 211189

Received:2020-06-13 Revised:2021-01-03 Online:2021-05-05 Published:2021-06-15

摘要/Abstract

摘要： 基于Bézier参数空间包络的公差建模方法建立了控制点变化与尺寸和形位公差之间的对应关系，但是针对最差情况下公差表示时采用最小内切超球作为控制点的变化范围，使得控制点变化的定义过于严格。因此，进一步推导了控制点变化超椭球范围的表达式，增加了控制点变化的范围，同时保证零件变形仍100%满足零件的公差要求，此外基于内切超球和超椭球定义了统计公差，最后通过蒙皮壁板、铰链和车门的仿真试验分别比较了超球和超椭球所定义控制点变化范围，结果表明改进后的公差建模方法控制点变化范围显著增加，从而对零件加工工艺的要求更宽松，间接减少了制造成本。

关键词: 形位公差, 参数空间包络, 自由变形技术

Abstract: Geometric tolerance is modeled indirectly through Bézier curve constructed space envelope. Under the new approach, tolerance zone is transformed and converted into control points’ influence zone. For worst case tolerance modelling, this paper applies the concept of hyper-ellipsoid to solve control points’ influence zone. This compares favorably with tangent hypersphere method measured by increased control point influence zone for a given geometric tolerance. This is achieved by better capturing the feasible region of the system of nonlinear equations. Similarly, the proposed method also improves the statistical tolerance modelling. The advantage of the proposed method is verified through an industrial case study. As geometric tolerance is closely linked to manufacturing costs, the improvement offered by this paper will have significance in industries in terms of reducing manufacturing costs in real production.

Key words: geometric tolerance, parametric space envelope, free-form deformation

中图分类号:

TH124

罗晨, 聂家齐, 周怡君. 基于Bézier参数空间包络的改进公差建模方法[J]. 机械工程学报, 2021, 57(9): 183-190.

LUO Chen, NIE Jiaqi, ZHOU Yijun. An Improved Tolerance Modeling Method Based on Bézier Parametric Space Envelope[J]. Journal of Mechanical Engineering, 2021, 57(9): 183-190.

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基于Bézier参数空间包络的改进公差建模方法

An Improved Tolerance Modeling Method Based on Bézier Parametric Space Envelope

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