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.
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References
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.
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.
Powell, M.J.D., A fast algorithm for nonlinearly constrained optimization calculations, numerical analysis, Numer. Anal., 1978, vol. 630, pp. 144–157.
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.
Rogers, D.F. and Adams, J.A., Mathematical Elements for Computer Graphics, New York: McGraw-Hill, 1976.
GOST (State Standard) 1643–81: Cylindrical Gears. Admissions, Moscow: Izd. Standartov, 2003.
Goch, G., Gear metrology, CIRP Ann., 2003, vol. 52, no. 2, pp. 659–695.
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.
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.
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Original Russian Text © V.A. Pechenin, M.A. Bolotov, 2016, published in Vestnik Mashinostroeniya, 2016, No. 5, pp. 47–50.
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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
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DOI: https://doi.org/10.3103/S1068798X16080165