## A theoretical model for the study of nonlinear dynamics of magnetic bearings |

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### Contents

SINGLE MAGNET SUSPENSION | 20 |

Table page | 39 |

SINGLE MAGNET BEARING | 46 |

8 other sections not shown

### Common terms and phrases

air gap applied flux density assumed bearing clearance space BIF0R2 program bottom magnets Chapter closed loop system coil conducting medium constant Control System Design critical speed different initial conditions differential equations digital simulation dimensional direction domain of convergence drag force dynamics eddy current effects eddy currents eigenvalues electromagnets equations of motion feedback gain matrix ferromagnetic Figure forces acting four magnet bearing Fourier series frequency full state feedback function gap length hence Hopf bifurcation horizontal Initial voltage lift force limit cycle linearized system magnet pole magnetic field magnetic field density magnetic force versus magnetic lift force magnetomotive force method nonlinear systems numerical parameters periodic orbit periodic solutions periods of integration plotted pole assignment pole corner pole face position problem rad/sec rotor shows speed is increased spinning speed stable equilibrium point suspension system thesis tion top magnet Transient Response unstable limit cycle variable feedback controller vector voltage zero speed