Skip to main content
Log in

Basing error in coordinate measurements of cylindrical gears

  • Published:
Russian Engineering Research Aims and scope

Abstract

A mathematical model for determining the basing errors in coordinate measurements of gears by means of pins is formulated on the basis of a best-fit algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Trapet, E. and Wäldele, F., The virtual CMM concept, in Advanced Mathematical Tools in Metrology, Ciarlini, P.,, Eds., Singapore: World Sci., 1996, vol. 2, pp. 238–247.

    Google Scholar 

  2. Besl, P.J. and Mckay, N.D., A method for registration of 3-D shapes, IEEE Trans. Pattern Anal. Mach. Intell., 1992, vol. 14, no. 2, pp. 239–256.

    Article  Google Scholar 

  3. Powell, M.J.D., A fast algorithm for nonlinearly constrained optimization calculations, numerical analysis, Numer. Anal., 1978, vol. 630, pp. 144–157.

    Google Scholar 

  4. Pierce, R.S. and Rosen, D., Simulation of mating between nonanalytical programming formulation, J. Comput. Inform. Sci. Eng., 2007, vol. 7, no. 4, pp. 314–321.

    Article  Google Scholar 

  5. Rogers, D.F. and Adams, J.A., Mathematical Elements for Computer Graphics, New York: McGraw-Hill, 1976.

    Google Scholar 

  6. GOST (State Standard) 1643–81: Cylindrical Gears. Admissions, Moscow: Izd. Standartov, 2003.

    Google Scholar 

  7. Goch, G., Gear metrology, CIRP Ann., 2003, vol. 52, no. 2, pp. 659–695.

    Article  Google Scholar 

  8. Pechenin, V.A., Bolotov, M.A., and Ruzanov, N.V., Model of coordinate metrology of complex surface geometry, Vestn. Tambov. Gos. Univ., 2015, vol. 21, no. 4, pp. 675–685.

    Google Scholar 

  9. Sprauel, J.M., Linares, J.M., Bachmann, J., and Bourdet, P., Uncertainties in CMM measurements, control of ISO specifications, CIRP Ann., 2003, vol. 52, no. 1, pp. 423–426.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. A. Pechenin.

Additional information

Original Russian Text © V.A. Pechenin, M.A. Bolotov, 2016, published in Vestnik Mashinostroeniya, 2016, No. 5, pp. 47–50.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pechenin, V.A., Bolotov, M.A. Basing error in coordinate measurements of cylindrical gears. Russ. Engin. Res. 36, 630–634 (2016). https://doi.org/10.3103/S1068798X16080165

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068798X16080165

Keywords

Navigation