电磁开关强非线性系统主共振分析

摘要

A solenoid switch system is studied. Its nonlinear dynamic model of order three is established based on Lagrange-Maxwell equation. The amplitude frequency response equation and the vibration laws of displacement and current changes with time of the strong nonlinear system are obtained by means of the MLP method. The influence of the parameters of the solenoid switch system on the primary resonance response curves is analyzed. Results indicate that the amplitude of the primary resonance of the system reduces with the increasing of the damping coefficient. The amplitude and resonance region of the primary resonance of the system increase with the increasing of the excitation voltage amplitude and decrease with the increasing of the resistance.%以电磁开关系统为研究对象，根据拉格朗日麦克斯韦方程建立三阶非线性动力学模型，应用MLP法得到电磁开关强非线性系统主共振的幅频响应方程及位移和电流分别随时间变化的振动规律，分析系统各参数对系统主共振幅频响应曲线的影响。结果表明，系统的幅频响应曲线存在跳跃现象；随着阻尼系数的增大，系统的振幅减小；随着激励电压幅值增大，系统的振幅和共振区域增大；随着电阻增大，系统的振幅和共振区域减小。