Generalized nonlinear model of the energy dissipation of thin rods subject to transverse oscillations

1987 ◽  
Vol 19 (12) ◽  
pp. 1724-1728
Author(s):  
M. A. Pavlovskii ◽  
Yu. A. Mamzenko
2017 ◽  
Vol 99 ◽  
pp. 51-65 ◽  
Author(s):  
Ziqiang Zeng ◽  
Wenbo Zhu ◽  
Ruimin Ke ◽  
John Ash ◽  
Yinhai Wang ◽  
...  

Author(s):  
Jianmin Gao ◽  
Xiaomei Zhu ◽  
Ray McCafferty ◽  
Nigel Leighton

Abstract This paper describes a generalized nonlinear model of active magnetic bearings, for arbitrary number, size and position of pole-pairs, including the coordinate coupling between the vertical and horizontal directions, the nonlinearility of the power amplifier and the effect of finite permeability of the ferromagnetic bearing material. As an example, a practical magnetic bearing with four pole-pairs is examined. The predicted force from the model is quite consistent with experimental results. For the PD controller implemented for a horizontal rotor, the expectation of the equilibrium of the rotor also agrees quite well with the measurement.


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