Dynamic Response Analysis of the Rotor Using the Jeffcott Method and Performance Improvement Using Active Magnetic Bearing

Tuaib, Karrar B.; Atiyah, Qasim A.; Abdulsahib, Imad A.

doi:10.30684/etj.2022.133607.1196

	Dynamic Response Analysis of the Rotor Using the Jeffcott Method and Performance Improvement Using Active Magnetic Bearing
Engineering and Technology Journal
Article 9, Volume 41, Issue 1, 2023, Pages 96-109 PDF (2.44 M)
Document Type: Research Paper
DOI: 10.30684/etj.2022.133607.1196
Authors
Karrar B. Tuaib^* ¹; Qasim A. Atiyah²; Imad A. Abdulsahib³
¹Mechanical Engineering Department, University of Technology, Baghdad, Iraq.
²University of Technology, Assina&#039;a Street, Baghdad, Iraq,
³Mechanical Engineering Department, University of Technology, Baghdad, Iraq
Abstract
The most common component of mechanical systems today is rotating machines. In these systems, vibration is caused by rotating components. As a result, to decrease the amplitude of vibrations created by rotating equipment, it’s required to understand the behavior of the system. In this work, the problem of vibrations in conventional bearing systems and the effect of adding active magnetic bearings to rotating machines to reduce the amplitude of vibrations are discussed. In this paper, the vibrations in the rotary bearing system were studied theoretically and analytically by using simulation programs to calculate the natural frequencies and parameters affecting the performance. In the theoretical part, the shaft of the rotating bearing was analyzed by the Jeffcott method depending on several parameters changed with the frequency value to observe the amplitude of the vibrations in the shaft. In an analytical aspect by simulation, a representative model of active magnetic bearings was built using the COMSOL 2020 program, and the effect of adding these bearings on capacitance, vibration reduction, and frequency behavior was examined. SolidWorks 2018 software was used to analyze the magnetic field and its distribution in the magnetic bearing coil. The results indicate that when magnetic active bearings were introduced to the rotating bearing shafts, the vibration amplitude was reduced by approximately 60%. From this work, it can be concluded that the system becomes more stable when the active magnetic bearing is added to the rotating bearing shaft, giving it a more stable and firm nature.
Highlights
Dealing with the Jeffcott method to change the parameters affecting the rotating shaft. The greater the current flowing through the AMB coil at an appropriate air gap distance, the greater the controllability of the rotating shaft. There is a significant reduction in the amplitude of vibrations when the active magnetic bearing is added.
Keywords
Vibrations,,; ,،,؛Rotating-Bearing System,,; ,،,؛Jeffcott method,,; ,،,؛Magnetic bearing,,; ,،,؛Active magnetic bearing (AMB)

References
[1] J. M. Vance, F. Y. Zeidan, and B. G. Murphy, Machinery vibration and rotordynamics. John Wiley & Sons, 2010. [2] F. M. A. El-Saeidy and F. Sticher, "Dynamics of a Rigid Rotor Linear/Nonlinear Bearings System Subject to Rotating Unbalance and Base Excitations," Journal of Vibration and Control, vol. 16, no. 3, pp. 403-438, 2009, doi: 10.1177/1077546309103565. [3] A. H. Haslam, C. W. Schwingshackl, and A. I. J. Rix, "A parametric study of an unbalanced Jeffcott rotor supported by a rolling-element bearing," Nonlinear Dynamics, vol. 99, no. 4, pp. 2571-2604, 2020, doi: 10.1007/s11071-020-05470-4. [4] A. Khadersab and S. Shivakumar, "Vibration analysis techniques for rotating machinery and its effect on bearing faults," Procedia Manufacturing, vol. 20, pp. 247-252, 2018. [5] J. Heikkinen, B. Ghalamchi, J. Sopanen, and A. Mikkola, "Twice-Running-Speed Resonances of a Paper Machine Tube Roll Supported by Spherical Roller Bearings: Analysis and Comparison With Experiments," in ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2014: American Society of Mechanical Engineers Digital Collection. [6] R. V. Daniel, S. A. Siddhappa, S. B. Gajanan, S. V. Philip, and P. S. Paul, "Effect of Bearings on Vibration in Rotating Machinery," presented at the IOP Conference Series: Materials Science and Engineering, Karunya University, Coimbatore 641114, Tamil Nadu, India., 2017. [7] G. Chandrashekar, W. Raj, C. Godwin, and P. S. Paul, "Study On The Influence Of Shaft Material On Vibration In Rotating Machinery," Materials Today: Proceedings, vol. 5, no. 5, pp. 12071-12076, 2018, doi: 10.1016/j.matpr.2018.02.182. [8] J. r. Wauer, "On the dynamics of cracked rotors: a literature survey," 1990. [9] A. D. Dimarogonas, "Vibration of cracked structures: A state of the art review," Engineering Fracture Mechanics, vol. 55, no. 5, pp. 831-857, 1996/11/01/ 1996, doi: https://doi.org/10.1016/0013-7944(94)00175-8. [10] J. J. Sinou and A. W. Lees, "The influence of cracks in rotating shafts," Journal of Sound and Vibration, vol. 285, no. 4, pp. 1015-1037, 2005/08/06/ 2005, doi: https://doi.org/10.1016/j.jsv.2004.09.008. [11] L. Dai and C. Chen, "Dynamic stability analysis of a cracked nonlinear rotor system subjected to periodic excitations in machining," Journal of Vibration and Control, vol. 13, no. 5, pp. 537-556, 2007. [12] L. Hou, Y. Chen, Z. Lu, and Z. Li, "Bifurcation analysis for 2:1 and 3:1 super-harmonic resonances of an aircraft cracked rotor system due to maneuver load," Nonlinear Dynamics, vol. 81, no. 1, pp. 531-547, 2015/07/01 2015, doi: 10.1007/s11071-015-2009-1. [13] N. A. Saeed and M. Eissa, "Bifurcations of periodic motion of a horizontally supported nonlinear Jeffcott rotor system having transversely cracked shaft," International Journal of Non-Linear Mechanics, vol. 101, pp. 113-130, 2018, doi: 10.1016/j.ijnonlinmec.2018.02.005. [14] L. Virgin, T. Walsh, and J. Knight, "Nonlinear behavior of a magnetic bearing system," 1995. [15] J. Ji and C. Hansen, "Non-linear oscillations of a rotor in active magnetic bearings," Journal of Sound and vibration, vol. 240, no. 4, pp. 599-612, 2001. [16] G. Genta and S. Carabelli, "Noncolocation effects on rigid body rotordynamics of rotors on AMB," in Proceedings of the seventh international symposium on magnetic bearings, ETH Zurich, 2000, pp. 63-68. [17] S. Singh and R. Tiwari, "Model-Based Switching-Crack Identification in a Jeffcott Rotor With an Offset Disk Integrated With an Active Magnetic Bearing," Journal of Dynamic Systems, Measurement, and Control, vol. 138, no. 3, 2016, doi: 10.1115/1.4032292. [18] N. Saeed and M. Kamel, "Active magnetic bearing-based tuned controller to suppress lateral vibrations of a nonlinear Jeffcott rotor system," Nonlinear Dynamics, vol. 90, no. 1, pp. 457-478, 2017. [19] A. Yektanezhad, S. Hosseini, H. Tourajizadeh, and M. Zamanian, "Vibration analysis of flexible shafts with active magnetic bearings," Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, vol. 44, no. 2, pp. 403-414, 2020. [20] H. H. Jeffcott, "The lateral vibration of loaded shafts in the neighbourhood of a whirling speed.—The effect of want of balance," The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol. 37, no. 219, pp. 304-314, 1919/03/01 1919, doi: 10.1080/14786440308635889. [21] H. Cao, L. Niu, S. Xi, and X. Chen, "Mechanical model development of rolling bearing-rotor systems: A review," Mechanical Systems and Signal Processing, vol. 102, pp. 37-58, 2018, doi: 10.1016/j.ymssp.2017.09.023. [22] H. El-Sayed, "Stiffness of deep-groove ball bearings," Wear, vol. 63, no. 1, pp. 89-94, 1980.
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