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are not static, or the source of one of the magnetic fields is a superconductor. Diamagnetic forces are
exceptions to Earnshaw’s theorem, and superconducting materials have properties that behave like dia-
magnetic materials. Also new high-temperature superconductivity materials, such as YBaCuO, exhibit
magnetic flux pinning forces that can be utilized for stable levitation in magnetic bearings without
feedback (see Moon, 1994).

References

Adams, S. G. (1996), Design of Electrostatic Actuators to Tune the Effective Stiffness of Micro-Mechanical
Systems, Ph.D. Dissertation, Cornell Unversity, Ithaca, New York.
Goldstein, H. (1980), Classical Mechanics, Addison-Wesley, Reading, MA.
Jackson, J. D. (1968), Classical Electrodynamics, J. Wiley & Sons, New York.
Lee, C. K. and Moon, F. C. (1989), “Laminated piezopolymer plates for bending sensors and actuators,”
J. Acoust. Soc. Am., 85(6), June 1989.
Melcher, J. R. (1981), Continuum Electrodynamics, MIT Press, Cambridge, MA.
Miu, D. K. (1993), Mechatronics, Springer-Verlag, New York.
Moon, F. C. (1984), Magneto-Solid Mechanics, J. Wiley & Sons, New York.
Moon, F. C. (1994), Superconducting Levitation, J. Wiley & Sons, New York.
Moon, F. C. (1999), Applied Dynamics, J. Wiley & Sons, New York.
Yu, Y.-Y. (1996), Vibrations of Elastic Plates, Springer-Verlag, New York.

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