Research On Nonlinear Dynamics Of Coupled Electromechanical System With Electric Circuit And Magnetic Circuit

The electromechanical system of the electric circuit and magnetic circuit coupling is an important part of the large scale and complex system.With the rapid development of industrial technology,more and more people pay close attention to the research of the electromechanical system of the electric circuit and magnetic circuit coupling.The dynamic characteristics of the electromechanical system of the electric circuit and magnetic circuit coupled directly affect the normal operation of the mechanical equipment.Therefore,the research of the electromechanical system of the RLC circuit and the magnetic circuit coupling is great significance and should be paid enough attention.Based on the Lagrange-Maxwell equation in the core modeling theory of electromechanical system,the dynamic model of the electromagnetic switch and the electric sensor system is established.It is found that the dynamic equation is a third-order nonlinear differential equation of displacement and current coupling characteristics.According to the strong and weak characteristics of the dynamic equation of the electromagnetic switch and the electric sensor system,the corresponding nonlinear analysis method is applied to the study.The primary resonance,3/1 sub harmonic resonance and primary parametric resonance of the electromagnetic switch system and the electric sensor system are studied emphatically.The strong nonlinear dynamics of the primary resonance of the electromagnetic switching system is analyzed by harmonic mean method and MLP method,and the results are compared with each other.The MLP method is used to solve the displacement and the current law of vibration with time.It was found that increasing the frictional resistance coefficient of the magnet can reduce the amplitude and the resonance region.Increasing the fixed voltage and the coil excitation voltage on the electromagnet can increase the amplitude and resonance region.Increasing the fixed resistance and the coils on the electromagnet can reduce the amplitude and the resonance area.The response of electromagnetic switch system and electric sensor system under bounded narrow band excitation is studied.The multiple scales method and the improved multiple scales method are used to solve the amplitudefrequency response equation of the electromagnetic switch system and the electric sensor system under the bounded narrow-band excitation and the steady solution when the system is stable.The Ito system of the electromagnetic switch system and the electric sensor system is derived.The second-order moment approximation of the system is obtained by the stochastic differential equation.