基于陀螺力矩的永磁悬浮转子稳定性分析

摘要

为了探讨永磁悬浮转子的稳定性，从能量的角度分析了引入动能后存在稳定悬浮的区域。根据陀螺效应的成因建立了陀螺力矩的解析式，分析了自由转子在受迫进动情况下实现稳定的最低临界转速，同时将该结论引申到受外力矩下的转子稳定的最低临界转速。同时得出了转子参数对临界转速影响的规律：转子绕对称轴的转动惯量越大，转子的临界转速越小；转子绕x轴或y轴方向的转动惯量越小，转子的临界转速越小；转子质量－长度系数越小，转子的临界转速越小。转子的临界转速越小，那么转子越容易达到稳定悬浮状态。%In order to investigate the stabiIity of permanent magnetic suspension rotor,this paper anaIysis the existence of stabIe suspensions region after the introduction of the kinetic energy from the point of view of energy.Then this paper create a gyroscopic anaIytic formuIa according to the gyroscopic effect,anaIysis of the minimum criticaI speed for free rotors in the case of forced precession,simuItaneousIy extend the concIusion to the situation of externaI torque.