ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)

vol 63 / August, 2020

DOI 10.17586/0021-3454-2019-62-12-1092-1097

UDC 621.833.15


B. P. Timofeev
ITMO University, Department of Mechatronics; Professor

M. V. Abramchuk
ITMO University, Department of Mechatronics; senior lecturer

I. A. Bzhikhatlov
ITMO University, Faculty of Control Systems and Robotics;

Abstract. Methods of calculating the kinematic accuracy parameters, or the tangential composite deviation of multi-staged gear mechanisms are considered. This error is considered as a function containing a set of components of certain frequencies and amplitudes. The installation error, which usually is not taken into account in the calculation of the tangential composite deviation, is also considered. Final calcula-tions are reduced to the output gear wheel of the studied multi-staged mechanism. To calculate the kin-ematic error, the maximum-minimum method is used, as well as the Monte Carlo probabilistic calcula-tion method. A method of calculating the kinematic error, which accounts for features of the gear mech-anisms production, is proposed. In the conditions of a specified production, if the spread of the values of the error components is known, the probabilistic calculation of the kinematic error is stated to give more accurate results as compared with the maximum-minimum method.
Keywords: standards, kinematic accuracy, gears, maximum-minimum method, gear wheel, GOST 1643-81, ISO 1328, Monte Carlo method, tangential composite deviation

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