Analysis of Effects of Radial Clearance and Unbalance on Vibration Responses of a Rotor-Bearing System

Analysis of Effects of Radial Clearance and Unbalance on Vibration Responses of a Rotor-Bearing System
  IJETT-book-cover           
  
© 2022 by IJETT Journal
Volume-70 Issue-1
Year of Publication : 2022
Authors : Prashant H. Jain, Dr. Santosh P. Bhosle
DOI :  10.14445/22315381/IJETT-V70I1P237

How to Cite?

Prashant H. Jain, Dr. Santosh P. Bhosle, "Analysis of Effects of Radial Clearance and Unbalance on Vibration Responses of a Rotor-Bearing System," International Journal of Engineering Trends and Technology, vol. 70, no. 3, pp. 327-333, 2022. Crossref, https://doi.org/10.14445/22315381/IJETT-V70I1P237

Abstract
The objective of this paper is to study and analyze the effects of change in radial clearance of ball bearing under balanced and unbalanced rotor conditions at different speeds and radial loads. In this paper, a rotor-bearing system is modelled, and its vibration responses are simulated for different operating conditions using COMSOL multiphysics software. Two-level full factorial design with four factors (24 full factorial design) is used for the design of simulation experiments, and the design is analyzed by using analysis of variance (ANOVA). Four factors, namely disk eccentricity (for balanced/unbalanced rotor), radial clearance, rotor speed and radial load, are used in this study. Root mean square velocities of time waveform in vertical and horizontal directions are considered as vibration response parameters. Minitab software is used to create the factorial designs, ANOVA tables, regression equations and various plots. Response surfaces obtained clearly depict the effects of radial clearance, disk eccentricity, rotor speed and radial load on vibration amplitude. The designed models are significant, with large R-square values (> 99 %). It is also observed that radial clearance has a remarkable effect and radial load has a negligible effect on vibration responses of the rotor-bearing system for the selected range.

Keywords
Vibration signal analysis, full factorial design (FFD), COMSOL, radial clearance of bearing, unbalance.

Reference
[1] F. B. Oswald, E. V. Zaretsky, and J. V. Poplawski, Effect of Internal Clearance on Load Distribution and Life of Radially Loaded Ball and Roller Bearings, Tribology Transactions, 55(2) (2012) 245–265.
[2] P. Zmarzly, Influence of the Internal Clearance of Ball Bearings on the Vibration Level, presented at the 24th International Conference Engineering Mechanics, Svratka, Czech Republic, (2018).
[3] W. Jing, Non-synchronous Vibration due to Internal Radial Clearance in Roller Bearings, M.E. Dissertation Thesis, McGill University Montreal, Canada, (2010).
[4] D. P. Fleming, B. Murphy, J. Sawicki, and J. V. Poplawski, Transient Response of Rotor on Rolling-Element Bearings with Clearance, presented at the 7th IFToMM Conference on Rotor Dynamics, Vienna, Austria, (2006).
[5] I. M. Jamadar, A Model to Estimate Synchronous Vibration Amplitude for Detection of Unbalance in Rotor-Bearing System, The Int. Journal of Acoustics and Vibration, 26(2) (2021) 161–169.
[6] P. H. Jain and S. P. Bhosle, Analysis on Vibration Signal Analysis Techniques used in Diagnosis of Faults in Rotating Machinery, International Journal of Mechanical and Production Engineering Research and Development, 10(3) (2020) 3377–3396.
[7] P. H. Jain and S. P. Bhosle, A Review on Vibration Signal Analysis Techniques Used for Detection of Rolling Element Bearing Defects, IJETT International Journal of Mechanical Engg., 8(1) (2021) 14-29.
[8] M. Tiwari, K. Gupta, and O. Prakash, Effect of Radial Internal Clearance of a Ball Bearing on the Dynamics of a Balanced Horizontal Rotor, Journal of Sound and Vibration, 238 (5) (2000) 723–756.
[9] M. Tiwari, K. Gupta, and O. Prakash, Dynamic Response of an Unbalanced Rotor Supported on Ball Bearings, Journal of Sound and Vibration, 238 (5) (2000) 757–779.
[10] S. P. Harsha, Rolling Bearing Vibrations—The Effects of Surface Waviness and Radial Internal Clearance, Int. Journal for Comp. Methods in Engg Science and Mechanics, 7(2) (2006) 91–111.
[11] S. P. Harsha, Nonlinear Dynamic Analysis of a High-speed Rotor Supported by Rolling Element Bearings, Journal of Sound and Vibration, 290(1) (2006) 65–100.
[12] S. P. Harsha, Nonlinear Dynamic Analysis of an Unbalanced Rotor Supported by Roller Bearing, Chaos, Solitons & Fractals, 26 (1) (2005) 47–66.
[13] B. Changqing and X. Qingyu, Dynamic Model of Ball Bearings with Internal Clearance and Waviness, Journal of Sound and Vibration, 294(1) (2006) 23–48.
[14] S. H. Upadhyay, S. P. Harsha, and S. C. Jain, Analysis of Nonlinear Phenomena in High-Speed Ball Bearings due to Radial Clearance and Unbalanced Rotor Effects, Journal of Vibration and Control, 16(1) (2010) 65–88.
[15] G. Chen, Study on Nonlinear Dynamic Response of an Unbalanced Rotor Supported on Ball Bearing, Journal of Vibration and Acoustics, 131(6) (2009) 061001(9p).
[16] K. Kappaganthu and C. Nataraj, Nonlinear Modeling and Analysis of a Rolling Element Bearing with a Clearance, Communications in Nonlinear Sci. and Numerical Simulation, 16(10) (2011) 4134–4145.
[17] G. Nan, M. Tang, E. Chen, and A. Yang, Nonlinear Dynamic Mechanism of Rolling Element Bearings with an Internal Clearance in a Rotor-bearing System, Advances in Mechanical Engg., 8(11) (2016).
[18] H. Cheng, Y. Zhang, W. Lu, and Z. Yang, Mechanical Characteristics and Nonlinear Dynamic Response Analysis of Rotor-bearing-coupling System, Applied Mathematical Modelling, 93 (2021) 708–727.
[19] M. Xu, G. Feng, Q. He, F. Gu, and A. Ball, Vibration Characteristics of Rolling Element Bearings With Different Radial Clearances for Condition Monitoring of Wind Turbine, Applied Sciences, 10 (14) (2020) 14.
[20] P. H. Jain and S. P. Bhosle, Study of Effects of Radial Load on Vibration of Bearing using Time-domain Statistical Parameters, IOP Conf. Series, Materials Science and Engg., 1070 (2021) 012130 (14).
[21] Z. Kiral and H. Karagülle, Simulation and Analysis of Vibration Signals Generated by Rolling Element Bearing with Defects, Tribology International, 36(9) (2003) 667–678.
[22] Z. K?ral and H. Karagülle, Vibration Analysis of Rolling Element Bearings With Various Defects under the Action of an Unbalanced Force, Mech. Systems and Signal Processing, 20(8) (2006) 1967–1991.
[23] J. Liu, Y. Shao, and M. J. Zuo, The effects of the shape of the localized defect in ball bearings on the vibration waveform, Proceedings of the Institution of Mechanical Engineers, Part K, Journal of Multi-body Dynamics, 227(3) (2013) 261-274.
[24] S. Singh, U. G. Köpke, C. Q. Howard, and D. Petersen, Analyses of Contact Forces and Vibration Response for a Defective Rolling Element Bearing using an Explicit Dynamics Finite Element Model, Journal of Sound and Vibration, 333(21) (2014) 5356–5377.
[25] S. Tyagi and S. K. Panigrahi, Transient Analysis of Ball Bearing Fault Simulation using Finite Element Method, J. Inst. Eng. India Ser. C, 95(4) (2014) 309–318.
[26] A. Nabhan, M. Nouby, A. Sami, and M. Mousa, Vibration Analysis of Deep Groove Ball Bearing with Outer Race Defect using ABAQUS, Journal of Low-Frequency Noise, Vibration and Active Control, 35(4) (2016) 312–325.
[27] X. Yang, C. Yan, and Y. Li, Finite Element Simulation and Experimental Study on Vibration Effect of Defect Position for Cylindrical Roller Bearing, 10(8) (2017) 1–12.
[28] P. K. Kankar, S. P. Harsha, P. Kumar, and S. C. Sharma, Fault Diagnosis of a Rotor Bearing System using Response Surface Method, European Journal of Mechanics - A/Solids, 28(4) (2009) 841–857.
[29] M. Patil, J. Mathew, P. Rajendrakumar, and S. Karade, Experimental Studies Using RSM for Condition Monitoring of Ball Bearings, Journal of Tribology, 132(4) (2010) 044505(6p).
[30] P. K. Kankar, S. C. Sharma, and S. P. Harsha, Fault Diagnosis of High-Speed Rolling Element Bearings Due to Localized Defects Using Response Surface Method, Journal of Dynamic Systems, Measurement, and Control, 133(3) (2011) 031007(14).
[31] P. K. Kankar, S. C. Sharma, and S. P. Harsha, Vibration Signature Analysis of a High-Speed Rotor Supported on Ball Bearings due to Localized Defects, Journal of Vibration and Control, 19(12) (2012) 1833–1853.
[32] I. M. Jamadar and D. P. Vakharia, An In-situ Synthesized Model for Detection of Defective Roller in Rolling Bearings, Engineering Science and Technology, an Int. Journal, 19(3) (2016) 1488–1496.
[33] E. Yucel and H. Saruhan, Design Optimization of Rotor-bearing System Considering Critical Speed Using Taguchi Method, Proceedings of the Institution of Mechanical Engineers, Part E, Journal of Process Mechanical Engineering, 231(2) (2017) 138–146.
[34] M. Boumahdi, S. Rechak, and S. Hanini, Analysis and Prediction of Defect Size and Remaining Useful Life of Thrust Ball Bearings, Modelling and Experiment Procedures, Arab J Sci Eng, 42(11) (2017) 4535–4546.
[35] V. R. Patil and P. V. Jadhav, Dynamic Response Analysis of Unbalanced Rotor-bearing System with Internal Radial Clearance, SN Appl. Sci., 2(11) (2020) 1826(1-13).
[36] P. Patra, V. H. Saran, and S. Harsha, Vibration Response Analysis of High-speed Cylindrical Roller Bearings Using Response Surface Method, Proceedings of the Institution of Mechanical Engineers, Part K, Journal of Multi-body Dynamics, 234(2) (2020) 379–392.
[37] P. Singh and S. P. Harsha, Vibration Response-Based Fault Diagnosis of Cylindrical Roller Bearing Using Response Surface Methodology, Journal of Nondestructive Evaluation, Diagnostics and Prognostics of Engineering Systems, 3(2) (2020) 0212002(23).
[38] H. P. Mishra and A. Jalan, Analysis of Faults in Rotor-bearing System Using Three-level Full Factorial Design and Response Surface Methodology, Noise & Vibration Worldwide, 52(11) (2021) 365-376.
[39] S. Patil, A. K. Jalan, and A. M. Marathe, Experimental Investigation Using RSM for Condition Monitoring of Misaligned Rotor System, Journal of Nondestructive Evaluation, Diagnostics and Prognostics of Engineering Systems, 5(2) (2021) 021003(10).
[40] Modelling Rotordynamics in COMSOL Multiphysics®, COMSOL. https,//www.comsol.co.in/video/modeling-rotordynamics-in-comsol-multiphysics (accessed Nov. 19, 2021).
[41] T. A. Harris, Rolling Bearing Analysis, 4th ed. John Wily and Son, INC., 2001.
[42] K.M. Arunkumar and T.C. Manjunath, A Brief Review/Survey of Vibration Signal Analysis in Time Domain, IJETT International Journal of Electronics and Communication Engg., 3(3) (2016) 12–15.