新一代产品几何技术规范标准中齿轮非理想表面建模研究
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摘要
公差规范贯穿于几何产品的整个生命周期,为了解决现行的计算机辅助公差工具无法从物理几何角度实现对于产品制造误差的真实表达,提出1种普适性的公差建模方法,能够在几何产品最初的设计阶段便对产品制造、检测过程中的几何变化量予以考虑。以新一代产品几何技术规范(GPS)为基础,将小波分析和功率谱密度分析等信号处理技术运用到产品表面形貌分析中,研究出1种能够反映产品三维表面及其二维轮廓的宏观及微观多尺度形貌误差成分的非理想表面模型表征方法,并应用于具有齿廓误差的圆柱齿轮模型上,实现其在通用商业CAD软件中的显示,以解决产品在设计、制造、检验过程中公差规范表达难以统一的难题,为产品几何变化量的有效控制提供了1种可行、可靠的新方法。
Tolerance specification runs through the whole life circle of geometric product design.In order to solve the problem that current commercial CAT tools are unable to realistically reflect manufacturing errors in physical geometry aspects,a universal tolerance modeling method is proposed,which considers the geometric variation during manufacturing and testing in the early design period of geometrical products.Based on the new generation geometrical product specification(GPS)standard,the signal processing techniques such as wavelet analysis and power spectrum density(PSD)analysis are applied in surface morphology analyses of the products.And a skin model characterization method which can reflect the three-dimensional surfaces and their two-dimensional profiles of the products in both macroscopic and microscopic scales is studied.This method is then used in cylindrical gear model with tooth profile tolerance,realizing its display in commercialized CAD software.The tolerance specification defined in the design level to manufacturing and inspection stages could be transferred efficiently by these models,which provide a feasible and reliable new method for effectively controlling geometrical variations in the context of GPS framework.
Tolerance specification runs through the whole life circle of geometric product design.In order to solve the problem that current commercial CAT tools are unable to realistically reflect manufacturing errors in physical geometry aspects,a universal tolerance modeling method is proposed,which considers the geometric variation during manufacturing and testing in the early design period of geometrical products.Based on the new generation geometrical product specification(GPS)standard,the signal processing techniques such as wavelet analysis and power spectrum density(PSD)analysis are applied in surface morphology analyses of the products.And a skin model characterization method which can reflect the three-dimensional surfaces and their two-dimensional profiles of the products in both macroscopic and microscopic scales is studied.This method is then used in cylindrical gear model with tooth profile tolerance,realizing its display in commercialized CAD software.The tolerance specification defined in the design level to manufacturing and inspection stages could be transferred efficiently by these models,which provide a feasible and reliable new method for effectively controlling geometrical variations in the context of GPS framework.
引文
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[14]ZHANG Bai,SHI Zhaoyao,LIN Jiachun.Error of gear three-dimensional evaluation method[J].Optics and Precision Engineering,2016,24(2):390-397.
[15]ZHANG Min,SHI Zhaoyao,MATHIEU L,et al.Geometric Product Specification of Gears:The Geospelling Perspective[J].Procedia Cirp,2015,27:90-96.
[2]林家春,潘晨光,石照耀,等.特大型齿轮测量仿真及触碰检测[J].北京工业大学学报,2013,39(11):1601-1606.LIN Jiachun,PAN Chenguang,SHI Zhaoyao,et al.Measuring simulation and touch detection of super-large gear[J].Journal of Beijing University of Technology,2013,9(11):1601-1606.(in Chinese)
[3]苑慧娟,韩立美,孙永全.大齿轮齿形偏差测量方法研究[J].机械设计与制造,2013(3):169-171.YUAN Huijuan,HAN Limei,SUN Yongquan.Research on measurement method for gear profile based on radial polar coordinate[J].Mechanical Design and Manufacturing,2013(3):169-171.(in Chinese)
[4]李柱,徐振高,蒋向前,等.互换性与测量技术——几何产品技术规范与认证GPS[M].北京:高等教育出版社,2004:108-122.LI Zhu,XU Zhengao,JIANG Xiangqian,et al.IGeometrical produet specifications and verifieation[M].Beijing:Higher Education Press,2004:108-122.(in Chinese)
[5]吴灿辉,王延忠.产品几何技术规范(GPS)在面齿轮齿面检测中的应用[J].新技术新工艺,2012(7):91-93.WU Canhui,WANG Yanzhong.Application of geometrical product specifications and verification(GPS)in face-gear tooth surface measurement[J].New Technology and New Technology,2012(7):91-93.(in Chinese)
[6]DANTAN J Y,BRUYERE J,BAUDOUIN C,et al.Geometrical specification model for gear-expression,metrology and analysis[J].CIRP Annals-Manufacturing Technology,2007,56(1):517-520.
[7]徐旭松,杨将新,曹衍龙,等.渐开线圆柱斜齿轮齿面的公差建模[J].浙江大学学报(工学版),2008,42(11):1946-1950.XU Xusong,YANG Jiangxin,CAO Yanlong,et al.Tolerance modeling of involute helical gear tooth surface[J].Journal of Zhejiang University(Engineering Science),2008,42(11):1946-1950.(in Chinese)
[8]BALLU A,MATHIEU L,DANTAN J Y.Formal language for GeoSpelling[J].Journal of Computing and Information Science in Engineering,2015,15(2):021002.
[9]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 Min,JIANG Haiyang,SHI Zhaoyao.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)
[10]ZENG W H,JIANG X Q,SCOTT P.Metrological characteristics of dual tree complex wavelet transform for surface analysis[J].Measurement Science and Technology,2005,16(7):1410-1417.
[11]QIU Hai,LEE J,LIN Jing,et al.Wavelet filter-based weak signature detection method and its application on rolling element bearing prognostics[J].Journal of Sound and Vibration,2006,289(4/5):1066-1090.
[12]SHI Zhaoyao,JIANG Haiyang,ZHANG Min.Multiscale representation for skin models in geometrical product specifications[J].Optics and Precision Engineering,2016,24(7):1647-1654.(in Chinese)
[13]ZHANG Min.Discrete Shape Modeling for Geometrical Product Specification:Contributions and Applications to Skin Model Simulation[D].Cachan,France:Ecole Normale Superieure de Cachan:2011.
[14]ZHANG Bai,SHI Zhaoyao,LIN Jiachun.Error of gear three-dimensional evaluation method[J].Optics and Precision Engineering,2016,24(2):390-397.
[15]ZHANG Min,SHI Zhaoyao,MATHIEU L,et al.Geometric Product Specification of Gears:The Geospelling Perspective[J].Procedia Cirp,2015,27:90-96.