Analysis of the methods of measurement of the cylindrical gear involute

Authors

DOI:

https://doi.org/10.15587/2312-8372.2019.168713

Keywords:

involute profile, gear, measurement error estimation, measurement accuracy, coordinate measuring machine

Abstract

The object of research in this work is the process of measuring the involute of a cylindrical gear by using coordinate measuring machines based on new physical principles, equipment and methods. To date, the metrological assurance of measuring the parameters of gears has been based on tools for the tooth and other equipment. All of them have a limited range of measurement parameters, different accuracy and nomenclature of measured values. Many of them are morally obsolete, not automated, do not have access to computer tools and do not provide the modern level of accuracy, information content and speed. By virtue of this, metrological support of gears is increasingly used in practice, and measurements of the geometric parameters of their involute surfaces are found on coordinate measuring machines. A significant advantage is the fact that several geometrical parameters of the surface of a gear can be measured on coordinate measuring machines in one installation. At the same time, the developed software allows to estimate the measurement errors and give them a graphic display. The paper reviews the reference base in the field of involumetry, which requires its creation on the basis of a detailed analysis of new measurement principles, the need to justify their accuracy, expansion of the range and range of measured parameters. Consequently, the production of new modifications of Ukrainian measuring instruments, based on new principles of control and control and measuring instruments of leading foreign manufacturers in the field of involumetry, is promising. The complex of works on the creation of a system for ensuring the uniformity of measurement of geometrical parameters of gears is also considered. This requires a review, systematization and development of methods and means of metrological assurance. A mathematical description of the gear involute curve is proposed by the method of triangulation of multiply connected domains and the description of a geometric model of an involute using a trend. Recommendations on the application of the method of describing cylindrical gears with an involute profile are given. The proposed method allows to improve the measurement accuracy on coordinate measuring machines.

Author Biographies

Alexander Dihtievskiy, National Aviation University, 1, Cosmonavta Komarova ave., Kyiv, Ukraine, 03058

Department of Computerized Electrotechnical Systems and Technologies

Volodymyr Kvasnikov, National Aviation University, 1, Cosmonavta Komarova ave., Kyiv, Ukraine, 03058

Doctor of Technical Sciences, Honored Metrologist of Ukraine, Head of Department

Department of Computerized Electrotechnical Systems and Technologies

References

  1. Loktev, D. A. (2009). Sovremennye metody kontrolia kachestva cilindricheskih zubchatyh koles. Metalloobrabotka. Oborudovanie i instrument dlia professionalov, 4, 6–11.
  2. Taic, B. A. (1972). Tochnost i kontrol zubchatyh koles. Moscow: Mashinostroenie, 369.
  3. Surkov, I. V. (2011). Development of methods and means of coordinate measurements for linear and angular parameters of cutting instruments. Measurement Techniques, 54 (7), 758–763. doi: http://doi.org/10.1007/s11018-011-9800-2
  4. Nai-shi, C., Wen, L. (1988). Calculation of conformal mapping function of the tooth profile on evolvent gear by computer. Applied Mathematics and Mechanics, 9 (11), 1101–1108. doi: http://doi.org/10.1007/bf02454514
  5. Umanskii, S. E. (1978). Algoritm i programma trianguliacii dvumernoi oblasti proizvolnoi formy. Problemy prochnosti, 6, 83–87.
  6. Guliaev, K. I., Riazanceva, I. L. (1981). Profilnaia modifikaciia zubev koles evolventnoi cilindricheskoi peredachi s uchetom deformacii zacepleniia. Izvestiia VUZov. Priborostroenie, 5, 20–25.
  7. Medvedev, V. I., Volkov, A. E., Volosova, M. A., Zubelevich, O. E. (2015). Mathematical model and algorithm for contact stress analysis of gears with multi-pair contact. Mechanism and Machine Theory, 86, 156–171. doi: http://doi.org/10.1016/j.mechmachtheory.2014.12.005
  8. Goldfarb, V. I., Trubachov, E. S., Kuznetsov, A. S. (2006). Load Distribution in Statically Loaded Spiroid Gear. Power transmissions 2006. Novi Sad: Serbia & Montenegro, 369–376.
  9. Sakalo, V. I., Shkurin, A. A. (1985). Universalnaia programma trianguliacii dvumernoi oblasti proizvolnoi formy so sgushcheniiami setki. Problemy prochnosti, 1, 106–108.
  10. VDI/VDE 2607 Computer-aided evaluation of profile and helix measurements on cylindrical gears withnvolute profile (2000). Dusseldorf, 46.
  11. Bowden, R. O., Hall, J. D. (1998). Simulation Optimization Research and Development. Winter Simulation Conference (Proc. 1998). Washington, 1693–1698. doi: http://doi.org/10.1109/wsc.1998.746048
  12. Brennan, R. W., Rogers, P. (1995). Stochastic Optimization Applied to a Manufacturing System Operation Problem. Winter Simulation Conference (Proc. 1995). Washington, 857–864. doi: http://doi.org/10.1109/wsc.1995.478870
  13. Evans, G. W., Stockman, B., Mollaghasemi, M. (1991). Multicriteria Optimization of Simulation Models. Winter Simulation Conference (Proc. 1991). Phoenix, 894–900. doi: http://doi.org/10.1109/wsc.1991.185702
  14. Goch, G. (2003). Gear Metrology. CIRP Annals, 52 (2), 659–695. doi: http://doi.org/10.1016/s0007-8506(07)60209-1
  15. Surkov, I. V. (2016). Avtomatizaciia kontrolia parametrov zubchatyh koles i peredach. Stankoinstrument, 1, 80–87.

Published

2018-12-31

How to Cite

Dihtievskiy, A., & Kvasnikov, V. (2018). Analysis of the methods of measurement of the cylindrical gear involute. Technology Audit and Production Reserves, 2(2(46), 19–24. https://doi.org/10.15587/2312-8372.2019.168713

Issue

Section

Systems and Control Processes: Original Research