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The problems of mathematical modelling of rolling bearing vibrations

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problems of mathematical modelling of vibration signal for bearings with specific geometrical structure or defect is important insofar as there are no model bearings (to facilitate carrying out a calibration procedure for industrial measurement systems). It is even more so that there are no precise reference systems to which we would compare the results. This article presents a general outline of the most important studies on modelling of vibrations in rolling bearings. Papers constituting the basis for the most recent studies and a review of articles from the past few years have been considered here. Five different models have been analyzed in detail in order to show the directions of the latest studies. Completed analysis presents different viewpoints on the issue of modelling a rolling bearing operation. This overview article makes it possible to derive the final conclusion that in order to include all factors affecting bearing vibrations, even those ignored in the most recent models, it is necessary to carry out practical statistical research including the principles of multicriteria statistics. This approach will facilitate developing a versatile model, also applicable to predicting vibrations of a new bearing just manufactured in a factory.
Rocznik
Strony
1363--1372
Opis fizyczny
Bibliogr. 53 poz., rys.
Twórcy
autor
  • Kielce University of Technology, Department of Metrology and Mechanical Engineering, al. Tysiąclecia Państwa Polskiego 7, Kielce 25-314, Poland
autor
  • Kielce University of Technology, Department of Metrology and Mechanical Engineering, al. Tysiąclecia Państwa Polskiego 7, Kielce 25-314, Poland
Bibliografia
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  • [7] J. Li, M. Li, J. Zhang, and G. Jiang, “Frequency-shift multiscale noise tuning stochastic resonance method for fault diagnosis of generator bearing in wind turbine”, Measurement 133, 421–432 (2019).
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  • [10] Z. Wang and C. Zhu, “A new model for analyzing the vibration behaviors of rotor-bearing system”, Commun. Nonlinear Sci. Numer. Simul. 83, 105–130 (2020).
  • [11] F. Kong, W. Huang, Y. Jiang, W. Wang, and X. Zhao, “A vibration model of ball bearings with a localized defect based on the hertzian contact stress distribution”, Shock Vib. 2018, 1–14 (2018).
  • [12] S. Sunnersjö, “Rolling Bearing Vibrations: The Effects of Geometrical Imperfections and Wear”, J. Sound Vibr. 98(4), 455–474 (1985).
  • [13] F.P. Wardle, “Vibration Forces Produced by Waviness of the Rolling Surfaces of Thrust Loaded Ball Bearings Part 1: Theory”, Proc. Inst. Mech. Eng. Part C-J. Eng. Mech. Eng. Sci. 202(5), 305–312 (1988).
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  • [15] X. Li, K. Yan, Y. Lv, B. Yan, L. Dong, and J. Hong, “Study on the influence of machine tool spindle radial error motion resulted from bearing outer ring tilting assembly”, Proc. Inst. Mech. Eng. Part C-J. Eng. Mech. Eng. Sci. 233 (9), 3246–3258 (2018).
  • [16] A. Aschenbrenner, B. Schleich, S. Tremmel, and S. Wartzack, “A variational simulation framework for the analysis of load distribution and radial displacement of cylindrical roller bearings”, Mech. Mach. Theory 147 (2020).
  • [17] S. Adamczak and P. Zmarzły, “Research of the influence of the 2D and 3D surface roughness parameters of bearing race-ways on the vibration level”, J. Phys. Conf. Series 1183, 1–10 (2019).
  • [18] P. Zmarzły, “Influence of the internal clearance of ball bearings on the vibration level”, Engineering Mechanics 2018 proceedings 24, 961–964 (2018).
  • [19] J. Liu, H. Wu, and Y. Shao, “A comparative study of surface waviness models for predicting vibrations of a ball bearing”, Sci. China-Technol. Sci. 60, 1841–1852 (2017).
  • [20] ISO 15242-1:2015 standard: Rolling bearings – Measuring methods for vibration – Part 1: Fundamentals, (2015).
  • [21] ISO 15242-2:2015 standard: Rolling bearings – Measuring methods for vibration – Part 2: Radial ball bearings with cylindrical bore and outside surface, (2015).
  • [22] ISO 15242-3:2006 standard: Rolling bearings – Measuring methods for vibration – Part 3: Radial spherical and tapered roller bearings with cylindrical bore and outside surface, (2006).
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  • [24] C.S. Sunnersjo, “Varying compliance vibrations of rolling element bearings”, J. Sound Vibr. 583, 363–373 (1978).
  • [25] P.K. Gupta, “Dynamics of Rolling Element Bearings, Parts I: Cylindrical Roller Bearing Analysis”, ASME J. Lubr. Technol. 101, 293–304 (1979).
  • [26] P.K. Gupta, “Dynamics of Rolling Element Bearings, Parts II: Cylindrical Roller Bearing Results”, ASME J. Lubr. Technol. 101, 305–311 (1979).
  • [27] P.K. Gupta, “Dynamics of Rolling Element Bearings, Parts III: Ball Bearing Analysis”, ASME J. Lubr. Technol. 101, 312–318 (1979).
  • [28] P.K. Gupta, “Dynamics of Rolling Element Bearings, Parts IV: Ball Bearing Results”, ASME J. Lubr. Technol. 101, 319–326 (1979).
  • [29] L. D. Meyer, F.F. Ahlgren, and B. Weichbrodt, “An analytic model for ball bearing vibrations to predict vibration response to distributed defects”, J. Mech. Des. 102, 205–210 (1980).
  • [30] P.D. McFadden and J.D. Smith, “Model for the vibration produced by a single point defect in a rolling element bearing”, J. Sound Vibr. 96, 69–82 (1984).
  • [31] P.D. McFadden and J.D. Smith, “The vibration produced by multiple point defect in a rolling element bearing”, J. Sound Vibr. 98, 263–273 (1985).
  • [32] H. Rahnejat and R. Gohar, “The vibrations of radial ball bearings”, Proc. Inst. Mech. Eng. Part C-J. Eng. Mech. Eng. Sci. 199(3), 181–193 (1985).
  • [33] R. Aini and R. Gohar, “Vibration modelling of precision spindles supported by lubricated angular-contact-ball bearings”, Trans. ASME, J. Lubric. Technol (1993).
  • [34] R. Aini, H. Rahnejat, and R. Gohar, “An Experimental Investigation into Bearing-Induced Spindle Vibration”, Proc. Inst. Mech. Eng. Part C-J. Eng. Mech. Eng. Sci. 209(C2), 107–114 (1995).
  • [35] E. Yhland, “A linear theory of vibrations caused by ball bearings with form errors operating at moderate speed”, J. Tribol. 114, 348–359 (1992).
  • [36] N. Tandodn and A. Choudhury, “An analytical model for the prediction of the vibrations response of rolling element bearings due to a localized defect”, J. Sound Vibr. 205, 275–292 (1997).
  • [37] A. Choudhury and N. Tandon, “Vibration response of rolling element bearings in a rotor system to a local defects under radial load”, J. Tribol. 128, 251–261 (2006).
  • [38] A. Liew, N. Feng, and E. Hahn, “Transient Rotordynamic Modeling of Rolling Element Bearing Systems”, J. Eng. Gas. Turbines Power 124(4), 984–991 (2002).
  • [39] J. Sopanen and A. Mikkola, “Dynamic Model of a Deep Groove Ball Bearing Including Localized and Distributed Defects, Part 1: Theory”, Proc. Inst. Mech Eng Pt K-J Multi-Body Dyn. 217, 201–211 (2003).
  • [40] J. Sopanen and A. Mikkola, “Dynamic Model of a Deep Groove Ball Bearing Including Localized and Distributed Defects, Part 2: Implementation and results”, Proc. Inst. Mech Eng Pt K-J Multi-Body Dyn. 217, 213–223 (2003).
  • [41] F. Cong, J. Chen, G. Dong, and M. Pecht, “Vibration model of rolling element bearings in a rotor-bearing system for fault diagnosis”, J. Sound Vibr. 332, 2081–2097 (2013).
  • [42] H. Cao, L. Niu, Z. He, and L. Yamin, “A systematic study of ball passing frequencies based on dynamic modeling of rolling ball bearings with localized surface defects”, J. Sound Vibr. 357, 207-232 (2015).
  • [43] F. Piltan and J. Kim, “Bearing Fault Diagnosis by a Robust Higher-Order Super-Twisting Sliding Mode Observer”, Sensors 18, 1–22 (2018).
  • [44] S. Sassi, B. Badri, and M. Thomas, “A numerical model to predict dam ged bearing vibrations”, J. Vib. Control 13(11), 1603–1628 (2007).
  • [45] J. Liu and Y. Shao, “Dynamic modeling for rigid rotor bearing systems with a localized defect considering additional deformations at the sharp edges”, J. Sound Vibr. 398, 84–102 (2017).
  • [46] B. Dolenc, P. Boškoski, and D. Juričić, “Distributed bearing fault diagnosis based on vibration analysis”, Mech. Syst. Signal Proc. 66/67, 521–532 (2016).
  • [47] Y. Chen, G. Peng, C. Xie, W. Zhang, C. Li, and S. Liu, “ACDIN: Bridging the gap between artificial and real bearing damages for bearing fault diagnosis”, Neurocomputing 294, 61–71 (2018).
  • [48] C. Lessmeier, J.K. Kimotho, D. Zimmer, and W. Sextro, “Condition monitoring of bearing damage in electromechanical drive systems by using motor current signals of electric motors: a benchmark data set for data-driven classification”, Proceedings of the European Conference of the Prognostics and Health Management Society 2016, 5-8 (2016).
  • [49] P. Shi, X. Su, and D. Han, “Nonlinear dynamic model and vibration response of faulty outer and inner race rolling element bearings”, J. Vibroeng. 18, 3654–3667 (2016).
  • [50] J. Liu and Y. Shao, “A new dynamic model for vibration analysis of a ball bearing due to a localized surface defect considering edge topographies”, Nonlinear Dyn. 79, 1329–1351 (2014).
  • [51] M. Tadina and M. Boltezar, “Improved model of a ball bearing for the simulation of vibration signals due to faults during runup”, J. Sound Vibr. 330, 4287–4301 (2011).
  • [52] J. Liu and Y. Shao, “Vibration modelling of nonuniform surface waviness in a lubricated roller bearing”, J. Vib. Control 23(7), 1115-1132 (2015).
  • [53] F. Kong, W. Huang, Y. Jiang, W. Wang, and X. Zhao, “Research on effect of damping variation on vibration response of defective bearings”, Adv. Mech. Eng. 11(3), 1–12 (2019).
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-9c813ed0-f3c0-4d34-8ad0-c86b230d6ff1
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