Exact elliptic-integral force and stiffness for coaxial-loop levitation: Equilibrium maps, stability, and benchmark use
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OpenAlex topics: Vibration Control and Rheological Fluids · Magnetic Bearings and Levitation Dynamics · Mechanical and Optical Resonators
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References (27)
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1. J.C. Maxwell, A Treatise on Electricity and Magnetism, vol. II, Appendix II, Chapter XIV.
2. Note on the mutual inductance of coaxial coils
3. The self and mutual inductances of linear conductors10.6028/bulletin.088 ↗
4. Formulas for computing capacitance and inductance
5. Review of maglev train technologies10.1109/TMAG.2006.875842 ↗
6. Maglev propulsion and stabilization techniques
7. Study of magnetic levitation technique applied to steel plate production line10.1109/20.908941 ↗
8. Dynamical electromechanical model for magnetic bearings10.1109/TMAG.2006.888740 ↗
9. Computer-aided analysis of magnetic fields in nonlinear magnetic bearings10.1109/TMAG.1978.1059857 ↗
10. On the nature of the molecular forces which regulate the constitution of the luminiferous ether
11. Efficient calculation of the mutual inductance of arbitrarily oriented circular filaments via a generalisation of the Kalantarov–Zeitlin method10.1016/j.jmmm.2019.03.078 ↗
12. Magnetic stiffness calculation for the corresponding force between two current-carrying circular filaments arbitrarily oriented in the space10.1016/j.jmmm.2022.170067 ↗
13. Calculation of mutual inductance between circular and arbitrarily shaped filaments via segmentation method
14. Calculation of magnetic stiffness over torque between two current-carrying circular filaments arbitrarily positioning in the space10.1016/j.jmmm.2024.172202 ↗
15. Full analytical solution for the magnetic field of uniformly magnetized cylinder tiles10.1016/j.jmmm.2022.169482 ↗
16. Equations for the approximate calculation of forces between cuboid magnets10.1016/j.jmmm.2020.166694 ↗
17. C. Hu, X. Zhang, Y. Li, Analysis of Multiple Equilibrium Points and Research on the Stability of Fixed-current Control in Maglev System, in: 2011Fourth International Conference on Intelligent Computation Technology and Automation, ICICTA, Shenzhen, China, 2011, pp. 349–352, http://dx.doi.org/10.1109/ICICTA.2011.98.10.1109/ICICTA.2011.98 ↗
18. Gradshteyn · 2007
19. Jackson · 1998
20. Strogatz · 2015
21. Kuznetsov · 2004
22. Guckenheimer · 1983
23. Binns · 1970
24. Magnet levitation at your fingertips10.1038/22444 ↗
25. Diamagnetic levitation: Flying frogs and floating magnets10.1063/1.372654 ↗
26. Superconducting bearings10.1088/0953-2048/13/2/201 ↗
27. Magnetostatic interactions and forces between cylindrical permanent magnets10.1016/j.jmmm.2009.07.030 ↗