The Calculation and Selection of Bearings of Increased Reliability
Authors: Syromyatnikov V.S., Garcia Martinez Juan Marcos, Samora Quintana Laura Angelica, Ortega Rosales Miguel Gersaun | Published: 08.10.2018 |
Published in issue: #9(702)/2018 | |
Category: Mechanical Engineering and Machine Science | Chapter: Machine Science | |
Keywords: bearing service life, bearings reliability, dynamic load-carrying capacity, Weibull distribution, failure distribution function |
The drive of a machine-tool includes a reducer, whose shafts are mounted on rolling bearings. Each shaft is supported by at least two bearings. There can be four or more bearings in the reducer. Even if one of them fails, the performance of the reduction gear unit is compromised. Bearings form a system, the reliability of which determines the reliability of the drive of the machine. Until recently, reliability of bearings in the reducer was determined by the standard 90 % reliability, regardless of the reliability of the other bearings. Today, the requirements to this characteristic are considerably more demanding. The number of failures of new equipment during the first year of operation should not exceed 1 % (99 % reliability), and during the fifth year should be no more than 10% (90% reliability). To meet these requirements, the reliability of each part of the machine must be above 99 % and 90 % respectively. In this paper, the reliability of the bearings is determined using the three-parameter Weibull distribution. A systematic approach to the calculation of bearings is proposed. In accordance with the reliability of the system, the reliability of individual bearings is calculated. Then, the life of each bearing is determined depending on the load and the bearing’s reliability. The service life of the bearing system is calculated as a derivative of the life of bearings in the system. As a result, the selection of bearings of increased reliability is ensured.
References
[1] Dvorak P., Berner J. Calculating Machine Reliability from Bearing Life. Available at: http://www.machinedesign.com/archive/calculating-machine-reliability-bearing-life (accessed 20 April 2018).
[2] Shishmarev V.Yu. Nadezhnost’ tekhnicheskih system [Reliability of technical systems]. Moscow, Yurayt publ., 2018. 306 p.
[3] ISO 281:2007 bearing-life standard — and the answers is? Available at: https://www.stle.org/images/pdf/STLE_ORG/BOK/LS/Bearings/ISO%20281_2007%20Bearing-Life%20Standard_And%20the%20Answer%20Is_tlt%20article_July10.pdf (accessed 10 May 2018).
[4] Zaharia S.M. Reliability and statistical analysis of the fatigue life of the tapered roller bearings. International Conference of Scientific Papers, Brasov, 28–30 May 2015, 6 p.
[5] GOST R 50779.27–2017. Statisticheskie metody. Raspredelenie Veybulla. Analiz dannyh [State Standard R 50779.27–2017. Statistical methods. Weibuii distribution. Data analysis]. Moscow, Standartinform publ., 2017. 57 p.
[6] Problem of the Month April 2001 — Weibull Beta Slopes for Ball Bearings Last revised. Available at: http://www.barringer1.com/apr01prb_files/apr01prb.pdf (accessed 10 May 2018).
[7] Bearing life. Available at: http://www.coroll.sk/Coroll_loziska/SNR_katalogy_files/03-Bearing_life.pdf (accessed 10 May 2018).
[8] Kobzar’ A.I. Prikladnaya matematicheskaya statistika. Dlya inzhenerov i nauchnyh rabotnikov [Applied mathematical statistics. For engineers and scientists]. Moscow, Fizmatlit publ., 2006. 816 p.
[9] Budynas R.G., Nisbett J.K. Shigley’s mechanical engineering design. McGraw-Hill, 2015. 1104 p.
[10] Detali mashin [Details of machines]. Ed. Ryahovskiy O.A. Moscow, Bauman Press, 2014. 465 p.
[11] API Standard 610. Centrifugal pumps for petroleum, petrochemical and natural gas industries. 2010. 218 p.