By Payne C.H.

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7. As can be seen from Fig. 7 the time T between the zero-crossing points is constant, even if the oscillation amplitude becomes smaller. It is important to mention, however, that this does not hold for the time between two relative amplitude maxima. The time T can, therefore, only be called the “pseudo period” of the damped system, and, correspondingly, ω can be called the “pseudo angular frequency”. Despite this fact one speaks, in practice, most often of the eigenfrequency ω and of the eigendamping σ of the system.

14 which shows a simulated response to a step change in Δfe ). At this point, the concept of the dynamic stiffness becomes important (see Sect. 4). The data for the simulation presented in Fig. 1. 1 force Δ fe (N) 200 150 100 50 0 0 time (s) Fig. 14. 1. Data for the PD and PID control simulation in Fig. 32 100 0 kg N/m N/A A/m A/m s A s/m N m The property of maintaining the desired position independently of the external load can be considered an infinite static stiffness of the bearing. This property is unique to active magnetic bearings and of great importance for high precision or high force applications.

43. M. Simon and al. Spin stabilized magnetic levitation. Am. J. , 65, April 1997. 44. R. Sindlinger. Magnetic bearing momentum wheels with vernier gimballing capability for 3-axis active attitude control and energy storage. In Proc. VII IFAC Symp. on Auto. Control in Space, Rottach-Egern, Germany, May 1976. 45. K. Sinha. Electromagnetic suspension, dynamics and control. IEE Control Engin. Series Nr. 30. Peregrinus Ltd, London, 1987. 46. A. Traxler. Eigenschaften und Auslegung von ber¨ uhrungsfreien elektromagnetischen Lagern.

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A Synopsis of the Ionization Potentials of the Elements by Payne C.H.

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