Method of Optimal Measurement Strategy for Ultra-High-Precision Machine in Roundness Nanometrology

1Lei Zhang, Tong Li, Jian Ding and Xiumin Yang, Theory and Technology of the Single Probe Two-Step Method to Separate Error, International Journal on Smart Sensing and Intelligent Systems, Vol. 6, No. 1, pp. 278–296, 2013.10.21307/ijssis-2017-540 Search in Google Scholar

2X.Q. Lei, W.M. Pan, X.P. Tu, and S. F. Wang, Minimum Zone Evaluation for Roundness Error Based on Geometric Approximating Searching Algorithm, MAPAN, Vol. 29, Issue 2, pp. 143–149, 2014.10.1007/s12647-013-0078-5 Search in Google Scholar

3Hamdan Lateef Jaheel and Zou Beiji, A Novel Approach of Combining Steganography Algorithms, International Journal on Smart Sensing and Intelligent Systems, Vol. 8, No. 1, pp. 90–106, 2015.10.21307/ijssis-2017-750 Search in Google Scholar

4Salah H.R. Ali, Roles and Motivations for Roundness Instrumentation Metrology, Journal of Control Engineering and Instrumentation (JCEI), Vol. 1, Issue 1, pp. 11–28, 2015. Search in Google Scholar

5Y. Kim and P. Yarlagadda, Roundness Measurement and Error Separation Technique, Applied Mechanics and Materials, Vol. 303–306, pp. 390–393, 2013.10.4028/www.scientific.net/AMM.303-306.390 Search in Google Scholar

6W. Zhao, J. Tan, Z. Xue and Sh. Fu, SEST: A New Error Separation Technique for Ultra- high Precision Roundness Measurement, Measurement Science and Technology, Vol. 16, No. 3, pp. 833-841, 2005.10.1088/0957-0233/16/3/027 Search in Google Scholar

7M. Hou, L. Qiu, W. Zhao, F. Wang, E. Liu, and L. Ji, Single-step Spatial Rotation Error Separation Technique for the Ultraprecision Measurement of Surface Profiles, Applied Optics, Vol. 53, Issue 3, pp. 487–495, 2014.10.1364/AO.53.000487 Search in Google Scholar

8S. L. Brunstein and C. M. Caves, Statistical Distance and the Geometry of Quantum States,Phys. Rev. Letter, Vol. 72, Issue 22, pp. 3439-3443, 1994. Search in Google Scholar

9S.H.R. Ali, Performance Investigation of CMM Measurement Quality Using Flick Standard, Journal of Quality and Reliability Engineering, Vol. 2014, Article ID 960649, pp. 1 –11, 2014. Search in Google Scholar

10J. Buajarern, T. Somthong, S.H.R. Ali and A. Tonmeuanwai, Effect of Step Number on Roundness Determination using Multi-Step Method, Int. Journal of Precision Engineering and Manufacturing, Vol. 14, Issue 11, pp. 2047–2050, 2013. Search in Google Scholar

11Sh. Lou, W. Zeng, X. Jiang and P. J. Scott, Robust Filtration Techniques in Geometrical Metrology and Their Comparison, International Journal of Automation and Computing, Vol. 10, No. 1, pp. 1–8, 2013.10.1007/s11633-013-0690-4 Search in Google Scholar

12ISO/TS 16610 Series, Geometrical Product Specifications (GPS) - Filtration, Last version (revision), 2014. Search in Google Scholar

13R. E. Reason, Report on Reference Lines for Roughness and Roundness. CIRP Annals Manufacturing Technology, Vol. 2, pp. 95–104, 1961. Search in Google Scholar

14D. J. Whitehouse and R. E. Reason, The Equation of the Mean Line of Surface Texture Found by an Electric Wave Filter, London, Rank Organization, UK, 1963. Search in Google Scholar

15D. J. Whitehouse, An Improved type of Wave Filter for use in Surface Finish Measurement, Proceedings Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, Vol. 192, pp. 306–318, 1967.10.1243/PIME_CONF_1967_182_328_02 Search in Google Scholar

16ISO 11562, Surface Texture: Profile Method Metrological Characteristics of Phase Correct Filters, 1996. Search in Google Scholar

17H. Von Weingraber, Uber die Eignung des Hullprofils als Bezugslinie fur die Messung der Rauheit (In English: About the Suitability of the Hullprofiles as Datum for Measuring the Roughness), CIRP Annals, Vol. 5, pp. 116–128, 1956. Search in Google Scholar

18J. Peters, J. B. Bryan, W. T. Eslter, C. Evans, H. Kunzmann, D. A. Lucca, S. Sartori, H. Sato, E. G. Thwaite, P. Vanherck, R. J. Hocken, J. Peklenik, T. Pfeifer, H. Trumpold and T. V. Vorburger, Contribution of CIRP to the development of metrology and surface quality evaluation during the last fifty years, CIRP Annals Manufacturing Technology, Vol. 50, No. 2, pp. 471–488, 2001.10.1016/S0007-8506(07)62996-5 Search in Google Scholar

19V. Radhakrishnan, A. Weckenmann, A close look at the rough terrain of surface finish assessment. Proceedings Institution of Mechanical Engineers, Part B: Journal of Eng. Manufacture, Vol. 212, No. 5, pp. 411–420, 1998.10.1243/0954405981516012 Search in Google Scholar

20J. Seewig, Linear and Robust Gaussian Regression Filters. Journal of Physics: Conf. Series, Vol. 13, pp. 254–257, 2006.10.1088/1742-6596/13/1/059 Search in Google Scholar

21S. Brinkmann, H. Bodschwinna, H. W. Lemke, Accessing Roughness in Three-dimensions using Gaussian Regression Filtering, Int. Journal of Machine Tools and Manufacture, Vol. 41, No. 13-14, pp. 2153–2161, 2001. Search in Google Scholar

22W. Zeng, X. Jiang and P. J. Scott, Fast Algorithm of the Robust Gaussian Regression Filter for Areal Surface Analysis, Measurement Science& Tech., Vol. 21, No. 5, 055108, 2010. Search in Google Scholar

23M. Krystek, Form Filtering by Splines. Measurement, Vol. 18, No. 1, pp. 9–15, 1996.10.1016/0263-2241(96)00039-5 Search in Google Scholar

24M. Krystek, Transfer Function of Discrete Spline Filters. Advanced Mathematical Tools in Metrology III, P. Ciarlini, M. G. Cox, F. Pavese, D. Richter, Eds., Singapore, NJ: World Scientific, pp. 203–210, 1997. Search in Google Scholar

25W. Zeng, X. Jiang, P. J. Scott, A Generalised Linear and Nonlinear Spline Filter, Wear, Vol. 272, No. 3-4, pp. 544–547, 2011.10.1016/j.wear.2010.04.010 Search in Google Scholar

26V. Srinivasan, Discrete Morphological Filters for Metrology. In Proceedings of the 6^thISMQC Symposium on Metrology for Quality Control in Production, TU Wien, Austria, pp. 623–628, 1998. Search in Google Scholar

27P. J. Scott, Scale-space Techniques, In Proceedings of the 10^th Int. Colloquium on Surfaces, Chemintz University of Technology, Chemnitz, Germany, pp. 153–161, 2000. Search in Google Scholar

28D. Gheorghescu, Studies on Current Trends in the Field of Measurement and Control of Bearings, The Romanian Review Precision Mechanics, Optics& Mechatronics, Vol. 40, pp. 276–284, 2011. Search in Google Scholar

29S. Lou, X. Q. Jiang and P. J. Scott, Algorithms for Morphological Profile Filters and their Comparison. Precision Engineering, Vol. 36, No. 3, pp. 414–423, 2012.10.1016/j.precisioneng.2012.01.003 Search in Google Scholar

30ISO 12180-2:2011, Geometrical Product Specifications (GPS) - Cylindricity - Part 2: Specification operators, 2011. Search in Google Scholar

31S.H.R. Ali, The Influence of Fitting Algorithm and Scanning Speed on Roundness Error for 50 mm Standard Ring Measurement Using CMM, Metrology& Measurement Systems, Vol. XV, No.1, pp. 31–53, Jan 2008. Search in Google Scholar

32ISO/TS 12181-1: Geometrical Product Specifications (GPS) – Roundness; Part 1: Terms, Definitions and Parameters of Roundness, 2003. Search in Google Scholar

33ISO/TS 12181-2: Geometrical Product Specifications (GPS) – Roundness; Part 2: Terms, Definitions and Parameters of Roundness, 2003. Search in Google Scholar

34X. Wen, Y. Xu, H. Li, F. Wang and D. Sheng, Monte Carlo Method for the Uncertainty Evaluation of Spatial Straightness Error Based on New Generation Geometrical Product Specification, Chinese Journal of Mechanical Engineering, Vol. 25, No. 5, pp. 875-881, 2012.10.3901/CJME.2012.05.875Search in Google Scholar