关键词: 振动与波, 电磁开关, 改进多尺度法, 窄带激励, 均方值, 强非线性振动

Abstract:

Taking solenoid switch system as the study object, the electric circuit and magnetic circuit coupled system of the strong nonlinear vibration problem under narrow-band excitation is investigated. The stochastic differential equation of the solenoid switch system subjected to narrow-band excitation is established. The frequency response equation of the system is obtained based on the method of modified multiple scales method, The stability of the primary resonance of the system under narrow band excitation is calculated, and the influence of the parameters of the system on the mean square value of the system is analyzed. The results show that the mean square value of the primary resonance of the system reduces with increasing of the damping coefficient; The mean square value of the primary resonance of the system increases with increasing of the excitation voltage amplitude; The mean square value of the primary resonance of the system reduces with increasing of the resistance; The change of limit cycle of the system is small with increasing of the intensity of the random disturbance.