Advanced Design Considerations for Permanent Magnetic Bearings: Bibliometric Insights and the Effects of Axial Displacement and Shaft Sagging on Horizontal Overhung Systems

Authors

  • Azman Jamaludin Universiti Teknologi Malaysia Author
  • M Zarhamdy Md Zain Universiti Teknologi Malaysia Author
  • Nur Safwati Mohd Nor Universiti Teknologi Malaysia Author

Keywords:

Air gaps (h1), Axial displacement, Backers’s works, Shaft deflection,, Shaft flexibility factor

Abstract

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.

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Published

2026-09-01