PSI - Issue 50

ScienceDirect Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2022) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2022) 000 – 000 Available online at www.sciencedirect.com

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 50 (2023) 155–162

© 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0 ) Peer-review under responsibility of the scientific committee of the MRDMS 2022 organizers Abstract An improved calculation method for the strength reliability of surface-hardened cylindrical gears, based on determining the probability of safe operation of the gear is presented in the paper. The calculation of probability of fault-free operation according to the criterion of depth contact endurance is implemented and the tools of non-parametric statistics are applied. When calculating contact stresses, the twist angle caused by deformations of the shafts gear is taken into account. The reliability of the toothed wheel gear was evaluated using the developed technique. © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the MRDMS 2022 organizers Keywords: probability of failure-free operation, spur gear, machine reliability. 1. Introduction The cylindrical gears are an integral part of majority of technical systems, such as the final transmission of an electric vehicle, the top drive of the drill string, the drive of the lifting mechanism, etc. The failure occurrence of the toothed wheel gear can lead to failure of the entire technical system, reduce the life time or lead to the failure of other system elements, create an emergency. Therefore, an accurate assessment of the reliability of gears is so important for the modern world. The probability of safe operation is an indicator of reliability and determines the probability that the failure of the object will not occur within the specified operating time. An object means a part of a technical system (structural element, detail, mechanism, drive, etc.) or an entire system. 16th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures (MRDMS 2022) Probability estimate of the strength reliability of toothed wheel gear Lebedev S.Yu. a *, Syzrantsev V.N. a a Industrial University of Tyumen, 38, Volodarsky street, Tyumen, 625000, Russia Abstract An improved calculation method for the strength reliability of surface-hardened cylindrical gears, based on determining the probability of safe operation of the gear is presented in the paper. The calculation of probability of fault-free operation according to the criterion of depth contact endurance is implemented and the tools of non-parametric statistics are applied. When calculating contact stresses, the twist angle caused by deformations of the shafts gear is taken into account. The reliability of the toothed wheel gear was evaluated using the developed technique. © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the MRDMS 2022 organizers Keywords: probability of failure-free operation, spur gear, machine reliability. 1. Introduction The cylindrical gears are an integral part of majority of technical systems, such as the final transmission of an electric vehicle, the top drive of the drill string, the drive of the lifting mechanism, etc. The failure occurrence of the toothed wheel gear can lead to failure of the entire technical system, reduce the life time or lead to the failure of other system elements, create an emergency. Therefore, an accurate assessment of the reliability of gears is so important for the modern world. The probability of safe operation is an indicator of reliability and determines the probability that the failure of the object will not occur within the specified operating time. An object means a part of a technical system (structural element, detail, mechanism, drive, etc.) or an entire system. 16th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures (MRDMS 2022) Probability estimate of the strength reliability of toothed wheel gear Lebedev S.Yu. a *, Syzrantsev V.N. a a Industrial University of Tyumen, 38, Volodarsky street, Tyumen, 625000, Russia

* Corresponding author. Tel.: +79199585191. E-mail address: lebedevsergey1995@gmail.com * Corresponding author. Tel.: +79199585191. E-mail address: lebedevsergey1995@gmail.com

2452-3216 © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the MRDMS 2022 organizers 2452-3216 © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the MRDMS 2022 organizers

2452-3216 © 2023 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the MRDMS 2022 organizers 10.1016/j.prostr.2023.10.036