Assessing the failure probability of gearhead of drilling rig top drive system taking into account the mode of its operation
https://doi.org/10.31660/0445-0108-2019-3-127-134
Abstract
Elements of drilling equipment are subjected to random loads with very high amplitudes during operation. Classical methods of probabilistic calculation of gearings don’t allow us to estimate the probability of their failure taking into account the real operational data obtained by telemetry when these data cannot be described by standard distribution laws. The offered technique is based on application of methods of non-parametric statistics therefore it is free from these restrictions. All its stages are realized in the Mathcad mathematical processor.
The article describes the technique of failure probability of gearing of drilling rig top drive system in accordance with criterion of bending endurance of teeth. Results of its realization for failure probability assessment of gearing at its operation in the heavy loading mode agree well with failure statistics. Also, the technique allows us to determine the probability of gearing failure for any load distribution laws during operation, including, when the loading mode is defined by sample.
About the Authors
Ksenia V. Syzrantseva
Industrial University of Tyumen
Russian Federation
Russian Federation
Doctor of Engineering, Associate Professor at the Department Cybernetic Systems
Vitaly N. Il’inykh
Industrial University of Tyumen
Russian Federation
Russian Federation
Candidate of Engineering, Associate Professor at the Department of Machinery and Equipment for the Oil and Gas Industry
Denis S. Kolbasin
Industrial University of Tyumen
Russian Federation
Russian Federation
Master’s Student at the Department of Machinery and Equipment for the Oil and Gas Industry
References
1. Петрухин В. В., Коротков С. А., Черский М. И. Анализ систем верхнего привода для бурения горизонтальных скважин // Геология и нефтегазоносность Западно-Сибирского мегабассейна: сб. тр. науч.-практ. конф. – Тюмень, 2016. – C. 178–181.
2. Study on speed characteristics of hydraulic top drive under fluctuating load / Y. Sun [et al.] // Journal of Petroleum Science and Engineering. – 2018. – Vol. 167. – P. 277–286. DOI: 10.1016/j.petrol.2018.04.003
3. Перспективные направления развития конструкций систем верхнего привода / Р. С. Привалихин [и др.] // Бурение и нефть. – 2015. – № 3. – C. 54–58.
4. Силовые приводы нового поколения / А. К. Данилов [и др.] // Бурение и нефть. – 2014. – № 12. – C. 40–42.
5. Лобачев А. А. Исследование нагруженности элементов редуктора системы верхнего привода: дис... канд. техн. наук. – СПб., 2017. – 166 с.
6. Kapur K. C., Lamberson L. R. Reliability in Engineering Design. – New Jork: JohnWiley&Sons, 1977. – 586 p.
7. Решетов Д. Н., Фадеев В. З. Вероятностная оценка изгибной прочности зубчатых колес // Машиноведение. – 1972. – № 2. – С. 54–63.
8. Иванов М. Н., Финогенов В. А. Детали машин: учебник для машиностроительных специальностей вузов. – 8-е изд., испр. – М.: Высшая школа, 2003. – 408 с.
9. Сызранцев В. Н., Невелев Я. П., Голофаст С. Л. Расчет прочностной надежности изделий на основе методов непараметрической статистики. – Новосибирск: Наука, 2008. – 218 с.
10. Liu Y., Zhang J., Zhao X. A new nonparametric screening method for ultrahigh-dimensional survival data // Computational Statistics and Data Analysis. – 2018. – Vol. 119. – P. 74–85.
11. A nonparametric test for slowly-varying non stationarities / D. Baptista de Souza [et al.] // Signal Processing. – 2018. – Vol. 143. – P. 241–252.
12. Syzrantseva K., Syzrantsev V. Reliability estimation of machine parts with complicated geometry on a base of methods of nonparametric statistics // Journal of Engineering and Applied Sciences. – 2016. – Vol. 11, Issue 2. – P. 204–209. DOI: 0.3923/jeasci.2016.204.209
13. Syzrantseva K. V. Predicting the failure of gear transmissions by nonparametric statistics // Russian Engineering Research. – 2009. – Vol. 29, Issue. 2. – P. 1206–1208. DOI: 10.3103/S1068798X09120028
14. Сызранцева К. В. Расчет прочностной надежности деталей машин при случайном характере внешних нагрузок: моногр. – Тюмень: ТюмГНГУ, 2011. – 92 с.
15. Сызранцева К. В. Оценка надежности зубчатых передач по сопротивлению контактной усталости при случайном режиме нагружения // Вестник Ижевского государственного технического университета. – 2009. – № 4. – С. 23–25.
16. Syzrantseva K. V. Development of a method to calculate the strength reliability of tooth gears based on the fatigue resistance when the teeth bend // Journal of Machinery Manufacture and Reliability. – 2009. – Vol. 38, Issue 6 (200912). – P. 552–556. DOI: 10.3103/S1052618809060065.10
17. Сызранцева К. В., Черная Л. А. Оценка долговечности подшипников качения при случайном режиме их нагружения // Известия высших учебных заведений. Машиностроение. – 2011. – № 12. – С. 8–11.
18. Syzrantseva K., Chernaya L. Shafts reliability assessment in accordance with criteria of fatigue strength under random load conditions // ICIE 2018: proceedings of the 4th International Conference on Industrial Engineering. Lecture Notes in Mechanical Engineering, Springer. – 2019. – P. 1511–1518. DOI: 10.1007/978-3-319-95630-5_161
19. Confidence limits for the few-cycle fatigue curve / V. N. Syzrantsev [et al.] // Russian Engineering Research. – 2016. – Vol. 36, Issue 1. – P. 20–24.
20. Parzen E. On estimation of a probability density function and mode / E. Parzen // Annals of Mathematical Statistics. – 1962. – Vol. 33. – Issue 3. – P. 1065–1076.
21. Rozenblatt M. Remarks on some nonparametric estimates of a density functions / M. Rozenblatt // Annals of Mathematical Statistics. – 1956. – Vol. 27, Issue 3. – P. 832–837.
Review
For citations:
Syzrantseva K.V., Il’inykh V.N., Kolbasin D.S. Assessing the failure probability of gearhead of drilling rig top drive system taking into account the mode of its operation. Oil and Gas Studies. 2019;(3):127-134. (In Russ.) https://doi.org/10.31660/0445-0108-2019-3-127-134
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