PSI - Issue 40

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

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

Procedia Structural Integrity 40 (2022) 418–425

© 2022 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 the15th International Conference on Mechanics, Resources and Diagnostics of Materials and Structures. Abstract The paper considers the solution of a problem of durability evaluation for rolling bearings with their loading mode in operation set by a specific law of radial load distribution by applying the methods of nonparametric statistics and computer simulation. It is shown that the actual laws of safety factor distribution differ significantly from normal distribution when determining the probability of bearing failure. For example, the probability of failure for the rolling bearing 2207 by dynamic load capacity at transition from the light to heavy loading mode with account of the actual law of safety factor distribution changes from 3.874% to 14.017%; at the same time in assumption of the normal law the probability of failure changes from 0.812% to 44.953%. The method of the bearing durability calculation proposed by the authors is universal and does not depend on the law of bearing loading. The method is illustrated by the example of the random load density function, which is bimodal. In the case when the loading law is assigned by the sampling obtained directly during the machine operation, the method is also implemented without changes. © 2022 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 the15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. Keywords: Rolling bearings; Durabiliry; Random loading; Safety factor distribution; Nonparametric statistics; Parzen-Rosenblatt evaluation. 15th International Conference on Mechanics, Resource and Diagnostics of Materials and Stru tures Method of probability calculation of rolling bearing durability based on apparatus of nonparametric statistics Ksenia Syzrantseva a *, Lyudmila Fetisova a , Alina Beloborodova b a Industrial University of Tyumen, Tyumen 625000, Russia b Municipal Autonomous Educational Institution "Secondary General School" number 92, Tyumen 625033, Russia Abstract The paper considers the solution of a problem of durability evaluation for rolling bearings with their loading mode in operation set by a specific law of radial l ad distribution by apply ng the meth ds f n nparametric tatistics and computer simulation. It is hown that the actual l ws of safety fac r distributio differ significa tly fro normal distribution when determini g he pr bability of be ring failure. For xample, the p o ability o failure or the rolling bearing 2207 by dynamic load capacity at transition fr m the li ht to h avy loading mode with ccount of the actual law f safety factor distri ution changes from 3.874% o 14.017%; at same tim in assumption of the normal law t e prob bility f ilure change from 0.812% to 44.953%. The method of the bearing durability calculation proposed by the autho s is universal and does not depend on the law of bearing loading. The method is illustra ed by the example f the random load density function, which is bimodal. In the case wh n the law is assigned by the sampling obt ined directly during the machine opera the method is also impl ment d without ch nges. © 2022 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 u der responsibility of scientific committe of the15th International C ference on Mechanics, Resource and Diagnostics of Materials and S ructur s. Keywords: Rolling bearings; Durabiliry; Random loading; Safety factor distribution; Nonparametric statistics; Parzen-Rosenblatt evaluation. 15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures Method of probability calculation of rolling bearing durability based on apparatus of nonparametric statistics Ksenia Syzrantseva a *, Lyudmila Fetisova a , Alina Beloborodova b a Industrial University of Tyumen, Tyumen 625000, Russia b Municipal Autonomous Educational Institution "Secondary General School" number 92, Tyumen 625033, Russia

* Corresponding author. Tel.: +7-345-253-9116 E-mail address: kv.syzr@gmail.com * Corresponding author. Tel.: +7-345-253-9116 E-mail address: kv.syzr@gmail.com

2452-3216 © 2022 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 the15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. 2452-3216 © 2022 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 u der responsibility of t scientific committe of the15th Int rnational C ference o Mechanics, Resource and Diagnostics of Materials and Structures.

2452-3216 © 2022 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 the15th International Conference on Mechanics, Resources and Diagnostics

of Materials and Structures. 10.1016/j.prostr.2022.04.056