Mathematical Model of Tolerance Based on Small Displacement Torsor

China Mechanical Engineering ›› 2012, Vol. 23 ›› Issue (7): 844-846,880.

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Mathematical Model of Tolerance Based on Small Displacement Torsor

Wang Yifeng1;Cao Yanlong2;Xu Xusong3;Yang Jiangxin2

1.Zhejiang University of Science and Technology, Hangzhou, 310023
2.Zhejiang University, Hangzhou, 310027
3.China University of Petroleum(Huadong), Dongying, Shandong,257061

Online:2012-04-10 Published:2012-04-13
Supported by:

National Natural Science Foundation of China（No. 50975257，50835008）;
National Program on Key Basic Research Project (973 Program)（No. 2011CB706505）

基于SDT的三维公差域建模方法研究

王移风1;曹衍龙2;徐旭松3;杨将新2

1.浙江科技学院,杭州,310023
2.浙江大学,杭州,310027
3.中国石油大学(华东),东营,257061

基金资助:
国家自然科学基金资助项目 (50975257，50835008)；国家重点基础研究发展计划(973计划) 资助项目(2011CB706505)
National Natural Science Foundation of China（No. 50975257，50835008）;
National Program on Key Basic Research Project (973 Program)（No. 2011CB706505）

Abstract

Abstract:

A new method based on SDT for tolerance modeling was studied herein. Based on the conception of the improved geometrical product specification, the deviation of feature was divided into intrinsic deviation and situation deviation. Then the SDT method was studied and the method for representation of 3D tolerance zone was given. Finally, mathematical tolerance model for different planes was established based on the proposed method.

Key words: tolerance zone, mathematical definition, plane, small displacement torsor(SDT), tolerance model

摘要：

以自由度和变动理论为基础,研究了基于SDT的平面特征公差数学模型表示方法。首先研究了三维公差域参数化表示方法,基于新一代产品几何规范标准体系(GPS),将几何偏差分为本质偏差和方位偏差,研究了三维公差域参数化建模方法,并基于运动自由度分析的SDT方法分析了三维公差域建模的一般步骤。最后以平面特征的公差建模为例,对不同类型的平面分别建立了数学模型。

关键词: 公差域, 数学定义, 平面特征, 小位移矢量簇, 公差模型

CLC Number:

TH124

WANG Chi-Feng-1, CAO Yan-Long-2, XU Xu-Song-3, YANG Jiang-Xin-2. Mathematical Model of Tolerance Based on Small Displacement Torsor[J]. China Mechanical Engineering, 2012, 23(7): 844-846,880.

王移风1, 曹衍龙2, 徐旭松3, 杨将新2. 基于SDT的三维公差域建模方法研究[J]. 中国机械工程, 2012, 23(7): 844-846,880.

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Mathematical Model of Tolerance Based on Small Displacement Torsor

基于SDT的三维公差域建模方法研究

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