Vibration analysis of ball bearing considering waviness under high speed and an axial load

• Autorzy: Hou P. P. , Wang L. Q. , Peng Q. Y.

Identyfikatory

DOI

10.24425/bpasts.2020.133382

• Języki publikacji: EN

Abstrakty

EN

Based on the rolling bearing vibration measurement principle in ISO standard, a nonlinear dynamic model of ball bearing is built and motion equations of the inner ring, outer ring, and rolling elements are derived by using Lagrange’s equation. The ball bearing model includes the influence of waviness, rotational speed, external load, arbor supporting stiffness and arbor eccentricity. Ball bearing high-speed vibration tests are performed and used to verify the theoretical results. Simulated results showed that specific waviness orders produced the principal frequencies that were proportional to rotational speed. Rotational speed mainly affected the value of the natural frequency of the bearing system, and RMS (Root Mean Square) of the full band had a great fluctuation with the increase of rotational speed. In the experiment, spectrum and RMS of 2 ƒs-30 kHz (ƒs : the rotational frequency of inner ring/arbor) under high speed could include not only the influence of rotational speed but also principal frequencies produced by waviness, which could cover the part of requirements of the standard bearing vibration measurement.

Słowa kluczowe

EN

rotational speed; ball bearing; vibration characteristics; frequency band; RMS

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2020
• Tom: Vol. 68, nr 3
• Strony: 517--527
• Opis fizyczny: Bibliogr. 36 poz., rys., tab.

Twórcy

autor

Hou P. P.

• MIIT Key Laboratory of Aerospace Bearing Technology and Equipment, Harbin Institute of Technology, Harbin, China

autor

Wang L. Q.

• MIIT Key Laboratory of Aerospace Bearing Technology and Equipment, Harbin Institute of Technology, Harbin, China
• State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, China

autor

Peng Q. Y.

• GUANGZHOU HAO ZHI INDUSTRIAL CO., LTD., Guangzhou, China

Bibliografia

• [1] J.A. Wensing, “On the dynamics of ball bearings”, pp. 99–101, 47–97, 159–162, 16–18, Department of Mechanical Engineering, University of Twente, 1998.
• [2] S. Adamczak, R. Domagalski, E. Sender, P. Zmarzły, and Ł. Gorycki, “Research methods and testing stand developed to examine vibrations generated by rolling bearing”, Diagnostyka. 17 (1), 41–49 (2016).
• [3] E. Yhland, “A linear theory of vibrations caused by ball bearings with form errors operating at moderate speed”, ASME. J. Tribol. 114 (2), 348–359 (1992).
• [4] K. Ono and K. Takahasi, “Theoretical analysis of shaft vibration supported by a ball bearing with small sinusoidal waviness”, IEEE Trans. Magn. 32 (3), 1709–1714 (1996).
• [5] Nizami Aktürk, “The effect of waviness on vibrations associated with ball bearings”, J. Tribol. 121 (4), 667–677 (1999).
• [6] N. Tandon and A. Choudhury, “A theoretical model to predict the vibration response of rolling bearings in a rotor bearing system to distributed defects under radial load”, J. Tribol. 122 (3), 609–615 (2000).
• [7] G.H. Jang and S.W. Jeong, “Nonlinear excitation model of ball bearing waviness in a rigid rotor supported by two or more ball bearings considering five degrees of freedom”, J. Tribol. 124 (1), 82–90 (2002).
• [8] G. Jang and S-W. Jeong, “Vibration analysis of a rotating system due to the effect of ball bearing waviness”, J. Sound Vibr. 269 (3-5), 709–726 (2004).
• [9] G.H. Jang and S.W. Jeong, “Analysis of a ball bearing with waviness considering the centrifugal force and gyroscopic moment of the ball”, J. Tribol. 125 (3), 487–498 (2003)
• [10] C.K. Babu, N. Tandon, and R.K. Pandey, “Vibration modeling of a rigid rotor supported on the lubricated angular contact ball bearings considering six degrees of freedom and waviness on balls and races”, J. Vib. Acoust. 134 (1), 011006-011006-12 (2012).
• [11] Y. Zhuo, X. Zhou, and C. Yang, “Dynamic analysis of doublerow self-aligning ball bearings due to applied loads, internal clearance, surface waviness and number of balls”, J. Sound Vibr. 333 (23), 6170–6189 (2014).
• [12] S.P. Harsha and C. Nataraj, “The effect of surface waviness and number of rolling elements on the dynamic behavior of a rotorbearing system”, Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 21st Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Las Vegas, Nevada, USA, 2007, pp. 1755–1762.
• [13] Y. Shao, P. Wang, and Z. Chen, “Effect of waviness on vibration and acoustic features of rolling element bearing”, ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, Chicago, Illinois, USA, 2012, pp. 165–170.
• [14] S. Adamczak and P. Zmarzły, “Influence of raceway waviness on the level of vibration in rolling-element bearings”, Bull. Pol. Ac.: Tech. 65 (4), 541–551 (2017).
• [15] H. Ohta and S. Satake, “Vibrations of hybrid ceramic ball bearings”, J. Sound Vibr. 192 (2), 481–493 (1996).
• [16] H. Ohta and S. Satake, “Vibrations of the all-ceramic ball bearing”, J. Tribol. 124 (3), 448–460 (2002).
• [17] H. Cao, F. Shi, Y. Li, B. Li, and X. Chen, “Vibration and stability analysis of rotor-bearing-pedestal system due to clearance fit”, Mech. Syst. Signal Proc. 133, 106275 (2019).
• [18] S.P. Harsha, “Nonlinear dynamic analysis of a high-speed rotor supported by rolling element bearings”, J. Sound Vibr. 290 (1-2), 65–100 (2006).
• [19] A. Sharma, N. Upadhyay, P. Kumar Kankar, and M. Amarnath, “Nonlinear dynamic investigations on rolling element bearings: A review”, Adv. Mech. Eng. 10 (3), 1–15 (2018).
• [20] S. Khanam, N. Tandon, and J.K. Dutt, “Multi-event excitation force model for inner race defect in a rolling element bearing”, ASME. J. Tribol. 138 (1), 011106 (2016).
• [21] S. Sassi, B. Badri, and M. Thomas, “A numerical model to predict damaged bearing vibrations”, J. Vib. Control. 13 (11), 1603–1628 (2007).
• [22] N.S. Feng, E.J. Hahn, and R.B. Randall, “Using transient analysis software to simulate vibration signals due to rolling element bearing defects”, Appl. Mech: Progress and Applications. 689–694 (2002).
• [23] D. Petersen and C. Howard, “Bearing defect size estimation for extended raceway defects”, INTER-NOISE and NOISE-CON Congress and Conference Proceedings. Institute of Noise Control Engineering. 249 (5), 2787–2796 (2014).
• [24] N. Sawalhi and R.B. Randall, “Simulating gear and bearing interactions in the presence of faults: Part I. The combined gear bearing dynamic model and the simulation of localised bearing faults”, Mech. Syst. Signal Proc. 22 (8), 1924–1951 (2008).
• [25] B. Dolenc, P. Boškoski, and Ð. Juričić, “Distributed bearing fault diagnosis based on vibration analysis”, Mech. Syst. Signal Proc. 66–67, 521–532 (2016).
• [26] D. Petersen, C. Howard, N. Sawalhi, A. Moazen Ahmadi, and S. Singh, “Analysis of bearing stiffness variations, contact forces and vibrations in radially loaded double row rolling element bearings with raceway defects”, Mech. Syst. Signal Proc. 50–51, 139–160 (2015).
• [27] 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 (23), 84–102 (2017).
• [28] P. Patra, V. Huzur Saran, and S.P. Harsha, “Non-linear dynamic response analysis of cylindrical roller bearings due to rotational speed”, Proceedings of the Institution of Mechanical Engineers, Part K: J. of Multi-body Dynamics. 233 (2), 379–390 (2018).
• [29] M. Tadina and M. Boltežar, “Improved model of a ball bearing for the simulation of vibration signals due to faults during runup”, J. Sound Vibr. 330 (17), 4287–4301 (2011).
• [30] L. Cui, Z. Jin, J. Huang, and H. Wang, “Fault Severity Classification and Size Estimation for Ball Bearings Based on Vibration Mechanism”, IEEE Access. 7, 56107–56116 (2019).
• [31] X. Li, K. Yu, H. Ma, L. Cao, Z. Luo, and H. Li, et al., “Analysis of varying contact angles and load distributions in defective angular contact ball bearing”, Eng. Fail. Anal. 91, 449–464 (2018).
• [32] D.S. Shah and V.N. Patel, “Theoretical and experimental vibration studies of lubricated deep groove ball bearings having surface waviness on its races”, Measurement. 129, 405–423 (2018).
• [33] B. Yingcun, “Study on vibration characteristics of greaselubricated bearings used in high-speed spindle”, Harbin Institute of Technology. (2015) [in Chinese].
• [34] R. Yang, L. Hou, Y. Jin, Y. Chen, and Z. Zhang, “The Varying Compliance Resonance in a Ball Bearing Rotor System Affected by Different Ball Numbers and Rotor Eccentricities”, J. Tribol. 140 (5), 051101 (2018).
• [35] H. Cheng, Y. Zhang, W. Lu, and Z. Yang, “Research on timevarying stiffness of bearing based on local defect and varying compliance coupling”, Measurement. 143, 155–179 (2019).
• [36] R. Serrato, M.M. Maru, and L.R. Padovese, “Effect of lubricant viscosity grade on mechanical vibration of roller bearings”, Tribol. Int. 40 (8), 1270–1275 (2007).

Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).