产品几何规范中非理想表面的多尺度表征

石照耀; 姜海洋; 张敏

doi:10.3788/OPE.20162407.1647

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产品几何规范中非理想表面的多尺度表征

微纳技术与精密机械 | 更新时间：2020-08-13

- 产品几何规范中非理想表面的多尺度表征
- Multi-scale representation for skin models in geometrical product specifications
- 光学精密工程 2016年24卷第7期页码：1647-1654
- 作者机构：
  
  北京工业大学北京市精密测控技术与仪器工程技术研究中心, 北京 100124
- 作者简介：
  
  石照耀(1964-)，男，湖南岳阳人，博士，教育部长江学者特聘教授，博士生导师，1984年于合肥工业大学获得学士学位，1988年于陕西机械学院获得硕士学位，2001年于合肥工业大学获得博士学位，主要研究方向为齿轮工程及精密测试技术与仪器。E-mail：shizhaoyao@bjut.edu.cnE-mail：shizhaoyao@bjut.edu.cn
  [ "姜海洋(1989-), 女, 吉林吉林人, 硕士研究生, 2012年于上海师范大学获得学士学位, 主要研究方向为产品几何技术规范与认证, 精密测量技术, 计算机辅助公差设计。E-mail:jiangspeed@126.com" ]
- 基金信息：
  
  国家教育部博士点基金资助项目(20131103110001);国家自然科学基金资助项目(51305006);5北京市教委项目(JC001013201402)
- DOI：10.3788/OPE.20162407.1647
  中图分类号： TP391.7;TH701
- 收稿日期：2016-03-15，
  
  纸质出版日期：2016-07
- 稿件说明：
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石照耀, 姜海洋, 张敏. 产品几何规范中非理想表面的多尺度表征[J]. 光学精密工程, 2016,24(7):1647-1654.

Zhao-yao SHI, Hai-yang JIANG, Min ZHANG. Multi-scale representation for skin models in geometrical product specifications[J]. Optics and precision engineering, 2016, 24(7): 1647-1654.
石照耀, 姜海洋, 张敏. 产品几何规范中非理想表面的多尺度表征[J]. 光学精密工程, 2016,24(7):1647-1654. DOI： 10.3788/OPE.20162407.1647.

Zhao-yao SHI, Hai-yang JIANG, Min ZHANG. Multi-scale representation for skin models in geometrical product specifications[J]. Optics and precision engineering, 2016, 24(7): 1647-1654. DOI： 10.3788/OPE.20162407.1647.

摘要

考虑目前多数计算机辅助公差工具仅能针对具有理想几何表面的CAD模型，无法从物理几何角度真正反映制造误差，本文研究了非理想表面的多尺度表征，提出了一种能够表征产品表面及其截面轮廓宏观及微观多尺度形貌误差的非理想表面模型。首先，提出了一种利用离散小波实现形貌误差多尺度仿真的方法；其次，针对实际工件，利用离散小波对其表面及截面轮廓采样数据进行形貌误差多尺度仿真；最后，对形貌误差各尺度成分进行合成，得到具有多尺度形貌误差成分的工件三维表面及其二维截面轮廓的非理想表面模型。仿真及实验结果表明：利用提出方法可以实现具有多尺度形貌误差的非理想表面模型表征；仿真所得粗糙度

值与白光干涉仪测量所得值的平均相对误差不超过4%。得到的结果证明了提出方法的正确性和可行性，为更加全面地表征产品的非理想表面模型提供了有效途径。

Abstract

As most of the Computer Aided Tolerancing tools can only deal with the CAD models with an ideal surface and can not reflect manufacturing errors in physics and geometry

this paper explores a multi-scale representation method for skin model shapes in the Geometrical Product Specification. A discrete data modeling method was proposed for the simulation of topographic errors of surfaces and section profiles of a product in macroscopic and microcosmic scales based on new-generation geometrical product specification. Firstly

a simulation method for multi-scale surface topographic errors based on discrete wavelet was presented. Then

discrete wavelet was used to simulate multi-scale surface topography errors for sampling data of the surfaces and section profiles of a part. Finally

multi-scale surface topography errors were composed and skin models for two-dimentional profile and three-dimentional surface were acquired. The simulation and experiment results show that the proposed method represents skin models with multi-scale surface topographic errors and the average relevant error between the results of

obtained by a white-light interferometer and the proposed simulation method is less than 4%. The results verify the correctness and applicability of the proposed method

and provide a valid way for more comprehensive representation of skin model in new-generation geometrical product specification.

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references

蒋向前.新一代GPS标准理论与应用[M].北京:高等教育出版社, 2007:148-150.

JIANG X Q. Theory and Applications of New-Generation Geometrical Product Specifications[M]. Beijing:Higher Education Press, 2007:148-150.(in Chinese)

郭崇颖, 刘检华, 唐承统, 等.基于三维凸包的公差基准轴线拟合[J].光学精密工程, 2014, 22(12):3247-3257.

GUO C Y, LIU J H, TANG CH T, et al.. Datum axis fitting for tolerances based on 3D convex hulls[J]. Opt. Precision Eng., 2014, 22(12):3247-3257.(in Chinese)

BALLU A, MATHIEU L, DANTAN J Y. Formal language for GeoSpelling[J]. Journal of Computing and Information Science in Engineering, 2015, 15(2):1-6.

ZHANG M, SHI ZH Y, MATHIEU L, et al.. Geometric product specification of gears:the GeoSpelling perspective[C]. Procedings of the 13th CIRP Conference on Computer Aided Tolerancing, Zhejiang, China, 2015, 27:90-96. https://www.researchgate.net/publication/275670929_Geometric_Product_Specification_of_Gears_The_GeoSpelling_Perspective

ISO 17450-1:2011 Geometric product specification(GPS)-General concepts-Part 1:Model for geometrical specification and verification[S]. Geneva:International Organization for Standardiza-tion, 2011.

ZHANG M, ANWER N, MATHIEU L, et al.. A discrete geometry framework for geometrical product specifications[C]. In Procedings of the 21st CIRP Design Conference, Korea, 2011:142-148.

张敏, 姜海洋, 石照耀.新一代GPS标准中非理想表面模型的建模方法[J].仪器仪表学报, 2016, 37(1):91-98.

ZHANG M, JIANG H Y, SHI ZH Y. Modeling method for the skin model in new-generation geometrical product specifications[J]. Chinese Journal of Scientific Instrument, 2016, 37(1):91-98. (in Chinese)

SCHLEICH B, WARTZACK S. Tolerance analysis of rotating Mmchanism based on skin model shapes in discrete Ggometry[C]. In Procedings of the 13th CIRP Conference on Computer Aided Tolerancing, Zhejiang, 2014:1-6.

李海燕, 刘国栋, 刘炳国, 等.双密度小波在表面形貌信号分离中的应用[J].光学精密工程, 2008, 16(6):1093-1097.

LI H Y, LIU G D, LIU B G, et al.. Application of double density wavelet transform to surface topographic signal separation[J]. Opt. Precision Eng., 2008, 16(6):1093-1097.(in Chinese)

张浩, 袁怡宝, 张峰.巴特沃斯小波在表面形貌信号分离中的应用[J].光学精密工程, 2010, 18(7):1661-1667.

ZHANG H, YUAN Y B, ZHANG F. Application of Butterworth wavelet to surface topographic signal separation[J]. Opt. Precision Eng., 2010, 18(7):1661-1667.(in Chinese)

任志英, 高诚辉, 申丁, 等.双树复小波稳健滤波在工程表面粗糙度评定中的应用[J].光学精密工程, 2014, 22(7):1820-1827.

REN ZH Y, GAO CH H, SHEN D, et al.. Application of DT-XWT robust filtering to evaluation of engineering surface roughness[J]. Opt. Precision Eng., 2014, 22(7):1820-1827.(in Chinese)

LU W L, ZHANG G P, LIU X J. Prediction of Surface topography at the end of sliding running-in wear based on areal surface parameters[J]. Tribology Transactions, 2014, 57(3):553-560.

曾文涵.双树复小波表面分析模型及加工过程形貌辨识方法研究[D].武汉:华中科技大学, 2005. http://cdmd.cnki.com.cn/article/cdmd-10487-2006038536.htm

Dual Tree Complex Wavelet Based Surface Analysis Model and Topography Recognition for Machining Process[D]Wuhan:Huazhong University of Science & Technology

王明祥, 宁宇蓉, 王晋国.基于Mallat算法的一维离散小波变换的实现[J].西北大学学报, 2006, 36(3):364-368.

WANG M X, NING Y R, WANG J G. Realization of one-dimentional discrete wavelet transform based on Mallat arithmetic[J]. Journal of Northwestern Polytechnical University, 2006, 36(3):364-368.(in Chinese)

张志航, 崔海, 丁海娟, 等. MWEDM表面三维粗糙度的小波评定基准面[J].哈尔滨工程大学学报, 2011, 32(9):1185-1189.

ZHANG ZH H, CUI H, DING H J, et al.. The reference plane by wavelets for 3D roughness evaluation of micro wire electrical discharge machining(MWEDM)[J]. Journal of Harbin Engineering University, 2011, 32(9):1185-1189.(in Chinese)

FU SH Y, MURALIKRISHNAN B, RAJA J. Engineering surface analysis with different wavelet bases[J]. Journal of Manufacturing Science and Engineering, 2003, 125(4):844-852.

GB/T 3505-2009/ISO 4287:1997:产品几何技术规范(GPS)表面结构轮廓法术语、定义及表面结构参数[S].北京:中国标准出版社, 2009. GB/T 3505-2009/ISO4287:1997 http://www.doc88.com/p-9985328616679.html

Geometrical Product Specification(GPS)-Surface texture:Profile method-Terms, definitions and surface texture parameters[S].Standardization Administration of the People's Republic of China. GB/T 3505-2009. Beijing:Standards Press of China, 2009.(in Chinese)

GB/T 1031-2009:产品几何技术规范(GPS)表面结构轮廓法表面粗糙度参数及其数值[S].北京:中国标准出版社, 2009. GB/T 1031-2009 http://www.cnki.com.cn/article/cjfdtotal-jgbz201003009.htm

Geometrical Product Specification(GPS)-Surface texture:Profile method-Surface roughness parameters and their values[S]. Beijing:Standards Press of China, 2009.(in Chinese)

张华, 石照耀, 张白.三维几何形状判别及其误差评定研究[J].仪器仪表学报, 2014, 35(6):1217-1222.

ZHANG H, SHI ZH Y, ZH B. Study on 3D geometric shape discriminant and form error evaluation[J]. Chinese Journal of Scientific Instrument, 2014, 35(6):1217-1222.(in Chinese)

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