不平衡磁拉力作用下电机柔性转子非线性振动研究

中国机械工程 ›› 2014, Vol. 25 ›› Issue (18): 2446-2450.

不平衡磁拉力作用下电机柔性转子非线性振动研究

刘清1;李琨2;王肖锋1;张昆鹏1;曹树谦3,4

1.天津理工大学,天津,300384
2.天津市薄膜电子与通信器件重点实验室,天津,300384
3.天津大学,天津,300072
4.天津市非线性动力学与混沌控制重点实验室,天津,300072

出版日期:2014-09-25 发布日期:2014-09-26
基金资助:
国家自然科学基金资助项目（61201081);天津市自然科学基金资助重点项目(11JCZDJC25400);天津市自然科学基金资助青年项目（13JCQNJC01300)

Nonlinear Vibration Behavior of Flexible Rotors under Unbalanced Magnetic Pull

Liu Qing1;Li Kun2;Wang Xiaofeng1;Zhang Kunpeng1;Cao Shuqian3,4

1.Tianjin University of Technology,Tianjin,300384
2.Tianjin Key Laboratory of Film Electronic and Communication Device,Tianjin,300384
3.Tianjin University,Tianjin,300072
4.Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control,Tianjin,300072

Online:2014-09-25 Published:2014-09-26
Supported by:
National Natural Science Foundation of China（No. 61201081）;Natural Science Foundation of Tianjin（No. 11JCZDJC25400）;Natural Science Foundation of Tianjin for Young Scholars(（No. 13JCQNJC01300）

摘要/Abstract

摘要：

建立了电机柔性转子非线性动力学模型，并使用多尺度法计算了系统的一次近似主共振响应。通过定常解分析发现转子主共振响应中存在幅频曲线左偏这一软非线性现象，并且不平衡磁拉力的线性部分使系统固有频率下降，非线性部分使主共振峰左偏量增大。使用MATLAB软件中的“ode23”函数绘制出系统的时间历程图及相图，数值积分的结果验证了解析解的正确性。从理论上揭示了转子长度、转子外径以及平均气隙长度等电机参数对非线性振动的影响,为电机的优化设计和控制提供了理论依据。

关键词: 柔性转子, 非线性动力学, 不平衡磁拉力, 振动

Abstract:

A multiple scale approach was applied to the nonlinear dynamics model of the flexible rotor in a motor, to study the first approximate primary resonance of the rotor. The results show that the formant makes a left shifting in the frequency response curve. In addition, the linear part of the unbalanced magnetic pull will decrease the natural frequency in the system, and the nonlinear part will increase the left shifting of the formant. The numerical simulation was carried out to verify the results obtained through the analytical method. The results given here make a foundation for further optimization and control of permanent magnet synchronous motors.

Key words: flexible rotor, nonlinear dynamics, unbalanced magnetic pull, vibration

中图分类号:

O322
TM341

刘清, 李琨, 王肖锋, 张昆鹏, 曹树谦, . 不平衡磁拉力作用下电机柔性转子非线性振动研究[J]. 中国机械工程, 2014, 25(18): 2446-2450.

Liu Qing, Li Kun, Wang Xiaofeng, Zhang Kunpeng, Cao Shuqian, . Nonlinear Vibration Behavior of Flexible Rotors under Unbalanced Magnetic Pull[J]. China Mechanical Engineering, 2014, 25(18): 2446-2450.

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