Measurement Techniques

, Volume 61, Issue 4, pp 347–352 | Cite as

Iterative Method of Adjusting the Radius of the Spherical Probe of Mobile Coordinate-Measuring Machines When Monitoring a Rotation Surface

  • F. V. Grechnikov
  • A. F. Rezchikov
  • O. V. ZakharovEmail author

An iterative method of probe radius compensation of mobile coordinate-measuring machines when controlling bodies of rotation is examined. The new method minimizes the angle between the normals at the specified point to the nominal and actual profiles as a result of successive approximations. Results of measurement and data handling showed high efficiency of the iterative method by comparison with known methods that are based on the least squares method. The greatest effect on reducing the error of probe radius compensation is reached with a small number of measured points and their non-uniform arrangement on the surface of the component part.


mobile coordinate-measuring machine rotation surface probe radius compensation 


  1. 1.
    A. I. Pekarsh, S. I. Feoktistov, D. G. Kolykhalov, and V. I. Shport, “Coordinate-measuring machines and systems,” CALS Technologies, No. 3, 36–48 (2011).Google Scholar
  2. 2.
    B. S. Brazhkin, N. I. Isaev, A. A. Kudinov, and V. S. Mirotvorsky, Coordinate-Measuring Machines for Control of Rotation Bodies, Mittel Press, Moscow (2012).Google Scholar
  3. 3.
    Yu. S. Sysoev, “Coordinate control methods of the surface geometry of machine construction products. Spatial control methods for surfaces of component parts of machines,” Sprav. Inzh. Zh., No. 5, 16–22 (2007).Google Scholar
  4. 4.
    B. S. Brazhkin and V. S. Mirotvorsky, “Calculating coordinates of curvilinear surfaces on coordinate-measuring machines,” Izmer. Tekhn., No. 7, 21–24 (2005).Google Scholar
  5. 5.
    V. N. Grishanov and A. A. Oynonen, “Modern laser measuring systems in the production cycle for space equipment,” Vestn. Samar. Gos. Aerokosm. Univ., No. 1 (32), 24–35 (2012).Google Scholar
  6. 6.
    F. V. Grechnikov, O. V. Zakharov, and A. A. Korolev, “Trends in increased productivity and control precision of complex surfaces by coordinate-measuring machines,” 16th Int. Conf. Systems of Design, Technological Preparation of Production, and Management of Life Cycle Stages of an Industrial Product, IPU RAN, Moscow (2016).Google Scholar
  7. 7.
    V. A. Pechenkin, N. V. Ruzanov, and M. A. Bolotov, “Modeling coordinate measurements of the geometrical parameters of the form and the arrangement of complex profi les of GTD compressor blades,” Vestn. Samar. Nauch. Ts. Ross. Akad. Nauk, 15, No. 6–4, 921–928 (2013).Google Scholar
  8. 8.
    V. A. Pechenkin, M. A. Bolotov, N. V. Ruzanov, and M. V. Yanyukina, “Optimization of measurements of the geometry of component parts with complex surfaces,” Izmer. Tekhn., No. 3, 18–23 (2015).Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • F. V. Grechnikov
    • 1
  • A. F. Rezchikov
    • 2
  • O. V. Zakharov
    • 3
    Email author
  1. 1.Korolev Samara National Research UniversitySamaraRussia
  2. 2.Institute of Problems of Precision Mechanics and Control, Russian Academy of SciencesSaratovRussia
  3. 3.Gagarin Saratov State Technical UniversitySaratovRussia

Personalised recommendations