Advanced Design Considerations for Permanent Magnetic Bearings: Bibliometric Insights and the Effects of Axial Displacement and Shaft Sagging on Horizontal Overhung Systems
Keywords:
Air gaps (h1), Axial displacement, Backers’s works, Shaft deflection,, Shaft flexibility factorAbstract
This study investigates the influence of axial displacement
and shaft sagging on the performance of permanent
magnetic bearings (PMBs) in horizontal overhung systems,
supported by a bibliometric analysis of existing PMB research
trends. The bibliometric review identifies dominant
modelling approaches and reveals limited attention to axial
displacement and shaft sagging effects in stacked PMB
configurations. To address this gap, a modified analytical
model based on Backers’s magnetic scalar potential method
is developed by incorporating axial displacement and shaft
sagging into the design framework. The proposed model is
validated through experimental investigation using a
horizontal overhung rotor system. The results show that the
combined effects of axial displacement and shaft sagging
significantly alter magnetic alignment and reduce effective
wavelength, leading to performance degradation. Statistical
equivalence testing confirms strong agreement between the
proposed formulation and established analytical models. The
findings provide improved design guidance for enhancing
PMB stability, reliability, and efficiency in practical rotating
machinery applications.
References
Backers, F. T. (1960). A magnetic journal bearing. Philips Tech. Rev, 22(7), 232-238.
Lijesh, K.P., Muzakkir, S.M., and Hirani, H. (2016). Failure mode and effect analysis of passive
magnetic bearing. Engineering Failure Analysis, 62(1), 1–20.
Moser, R., Sandtner, J., and Bleuler, H. (2006). Optimization of repulsive passive magnetic
bearings. IEEE Transactions on Magnetics, 42(8), 2038–2042.
Nandiyanto, A. B. D., Al Husaeni, D. N., and Al Husaeni, D. F. (2021). A bibliometric analysis of
chemical engineering research using vosviewer and its correlation with covid-19
pandemic condition. Journal of Engineering Science and Technology, 16(6), 4414-4422.
Nandiyanto, A. B. D., and Al Husaeni, D. F. (2022). Bibliometric analysis of engineering
research using vosviewer indexed by Google Scholar. Journal of Engineering Science and
Technology, 17(2), 883-894.
Paden, B., Groom, N., and Antaki, J. (2003). Design formulas for permanent-magnet bearings,
Journal of Mechanical Design, 125(4), 734-738.
Ravaud, R., Lemarquand, G., and Lemarquand, V. (2009a). Force and stiffness of passive
magnetic bearings using permanent magnets. Part 1: axial magnetization. IEEE
Transactions on Magnetics, 45(7), 2996–3002.
Ravaud, R., Lemarquand, G., and Lemarquand, V. (2009b). Force and stiffness of passive
magnetic bearings using permanent magnets. Part 2: radial magnetization. IEEE
Transactions on Magnetics, 45(9), 3334–3342.
Solehuddin, M., Nandiyanto, A. B. D., Muktiarni, M., Rahayu, N. I., Al Husaeni, D. N., Ragadhita,
R., and Fiandini, M. (2025). Engineering research and scientific contributions at Universitas
Pendidikan Indonesia: Trends, challenges, and future directions. Journal of Engineering
Science and Technology, 20(3), 816-836.
Tian, L.L., Ai, X.P., and Tian, Y.Q. (2012). Analytical model of magnetic force for axial stack
permanent-magnet bearings. IEEE Transactions on Magnetics, 48(10), 2592–2599.
Wang, J., Wang, D., Tong, S., Sun, T., Li, L., Kong, W., Zhong, D., and Sun, H. (2023). A review
of recent developments in permanent Magnet Eddy Current Couplers technology.
Actuators, 12(7), 277.
Yonnet, J. P. (1981) Permanent magnet bearing and coupling. Magnetics, IEEE Transactions,
, 1169 - 1173.
Zhang, L.I., Huachun, P., Wu, Y., Li, H., and Song, C. (2019). Design, analysis, and experiment
of multiring permanent magnet bearings by means of equally distributed sequences
based monte carlo method. Mathematical Problems in Engineering, 2019(1),1-17.
Zhang, W., Pan, W., and Yang, Z. (2011). Finite element method analysis and digital control
for radial AC hybrid magnetic bearings. Journal of Computational &Theoretical
Nanoscience, 4(8), 2869–2874.