The selection of radius correction method in the case of coordinate measurements applicable for turbine blades

Abstract The objective of the research presented in the paper is the selection of suitable probe radius correction method in the case of coordinate measurements which can be applied for turbine blades. The investigations are based on theoretical analysis of geometric data and on further computer simulation of measurements and data processing. In the paper two methods for computing coordinates of corrected measured points are verified. Those so-called local methods of probe radius correction are based on Bezier curves. They are dedicated first of all to coordinate measurements of free-form surfaces which are characterized by big values of curvature, e.g. those surrounding the leading and trailing edges of a turbine blade. Numerical simulations are done for several models of the cross-sections of turbine blades with diversified magnitudes of radii of curvature. There are considered both manufacturing deviations and coordinate measurement uncertainty of each examined profile of a turbine blade. Numerical investigations based on the developed analytical models show the advantage of the algorithm which uses the second degree Bezier curves in probe radius correction. Moreover, in the paper there is explained the implementation of the developed algorithms for probe radius correction into the standard CMM software which amplifies the usability of the algorithms.

[1]  G. Matheron The intrinsic random functions and their applications , 1973, Advances in Applied Probability.

[2]  Adam Wozniak,et al.  Micro-features measurement using meso-volume CMM , 2007 .

[3]  René Mayer,et al.  Surface probing simulator for the evaluation of CMM probe radius correction software , 2011 .

[4]  Adam Wozniak,et al.  Discontinuity check of scanning in coordinate metrology , 2015 .

[5]  Ahmad Barari,et al.  A quick deviation zone fitting in coordinate metrology of NURBS surfaces using principle component analysis , 2016 .

[6]  Janko Hodolic,et al.  Different Approaches in Uncertainty Evaluation for Measurement of Complex Surfaces Using Coordinate Measuring Machine , 2015 .

[7]  Dinghua Zhang,et al.  A practical sampling method for profile measurement of complex blades , 2016 .

[8]  Peihua Gu,et al.  Free-form surface inspection techniques state of the art review , 2004, Comput. Aided Des..

[9]  Suk-Hwan Suh,et al.  Compensating probe radius in free surface modeling with CMM , 1994, Proceedings of the Fourth International Conference on Computer Integrated Manufacturing and Automation Technology.

[10]  Fang-Jung Shiou,et al.  Calculation of the Normal Vector using the 3 × 3 Moving Mask Method for Freeform Surface Measurement and its Application , 2002 .

[11]  Jerzy A. Sladek,et al.  Coordinate Metrology: Accuracy of Systems and Measurements , 2015 .

[12]  Krzysztof Karbowski Interpolation reverse engineering system , 2008 .

[13]  George-Christopher Vosniakos,et al.  Reverse engineering of simple surfaces of unknown shape with touch probes: Scanning and compensation issues , 2003 .

[14]  Rosenda Valdés Arencibia,et al.  Simplified model to estimate uncertainty in CMM , 2015 .

[15]  Marek Balazinski,et al.  Touch probe radius compensation for coordinate measurement using kriging interpolation , 1997 .

[16]  F. L. Chen,et al.  Sculptured surface reconstruction from CMM measurement data by a software iterative approach , 1999 .

[17]  K. Stępień,et al.  QUANTITATIVE COMPARISON OF CYLINDRICITY PROFILES MEASURED WITH DIFFERENT METHODS USING LEGENDRE-FOURIER COEFFICIENTS , 2010 .

[18]  Fang-Jung Shiou,et al.  Calculation of the unit normal vector using the cross-curve moving mask method for probe radius compensation of a freeform surface measurement , 2010 .

[19]  Nahm-Gyoo Cho,et al.  Development of a coordinate measuring machine (CMM) touch probe using a multi-axis force sensor , 2006 .

[20]  Jörg Hoffmann,et al.  Probing Systems for Coordinate Measuring Machines , 2011 .

[21]  A. Woźniak,et al.  Stylus tip envelop method: corrected measured point determination in high definition coordinate metrology , 2008 .

[22]  Djordje Brujic,et al.  Contact probe radius compensation using computer aided design models , 2001 .

[23]  Yeou-Yih Lin,et al.  Probe Radius Compensated by the Multi-Cross Product Method in Freeform Surface Measurement with Touch Trigger Probe CMM , 2003 .

[24]  Kai Tang,et al.  Sweep scan path planning for efficient freeform surface inspection on five-axis CMM , 2016, Comput. Aided Des..

[26]  F. Trochu A contouring program based on dual kriging interpolation , 1993, Engineering with Computers.

[27]  Paul P. Lin,et al.  On-Line Free Form Surface Measurement Via a Fuzzy-Logic Controlled Scanning Probe , 1999 .

[28]  Vidosav D. Majstorović,et al.  Towards an intelligent approach for CMM inspection planning of prismatic parts , 2016 .

[29]  Ye Li,et al.  Measuring external profiles of porous objects using CMM , 2013 .

[31]  Les A. Piegl,et al.  The NURBS Book , 1995, Monographs in Visual Communication.

[32]  A. Weckenmann,et al.  Probing Systems in Dimensional Metrology , 2004 .

[33]  Marek Magdziak,et al.  Usability assessment of selected methods of optimization for some measurement task in coordinate measurement technique , 2012 .

[34]  Yin Zhongwei,et al.  A methodology of sculptured surface fitting from CMM measurement data , 2003 .

[35]  D. Krige A statistical approach to some basic mine valuation problems on the Witwatersrand, by D.G. Krige, published in the Journal, December 1951 : introduction by the author , 1951 .

[36]  Yin Zhongwei,et al.  Methodology of NURBS surface fitting based on off-line software compensation for errors of a CMM , 2003 .

[37]  Abdulrahman Al-Ahmari,et al.  Optimizing parameters of freeform surface reconstruction using CMM , 2015 .

[38]  Wang Lancheng,et al.  An algorithm of NURBS surface fitting for reverse engineering , 2006 .

[39]  Seung-Woo Kim,et al.  Reverse engineering : Autonomous digitization of free-formed surfaces on a CNC coordinate measuring machine , 1997 .

[40]  Alan C. Lin,et al.  Probe-radius compensation for 3D data points in reverse engineering , 2002, Comput. Ind..

[41]  D. Janecki,et al.  Problems of measurement of barrel- and saddle-shaped elements using the radial method , 2010 .