Primary Resonance of Wire Subjected to Harmonic Excitation in Magnetic Field
Yang Zhi-an
Abstract
Yang Zhi-an
Abstract
Primary resonance of wire subjected to harmonic excitation in magnetic field is studied.The nonlinear vibration equation of wire subjected to harmonic excitation in magnetic field is established by means of dynamics theory.According to the method of multiple scales for nonlinear vibration analysis,the approximation solution of primary resonance of the system is obtained.Numerical analysis on the influence of magnetic,excitation,detuning,and damping on the system is carried out.Critical broken magnetic value is acquired.It pointed out that the system exists jump phenomena.
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Primary resonance of wire subjected to harmonic excitation in magnetic field is studied.The nonlinear vibration equation of wire subjected to harmonic excitation in magnetic field is established by means of dynamics theory.According to the method of multiple scales for nonlinear vibration analysis,the approximation solution of primary resonance of the system is obtained.Numerical analysis on the influence of magnetic,excitation,detuning,and damping on the system is carried out.Critical broken magnetic value is acquired.It pointed out that the system exists jump phenomena.
Key concepts: Excitation, Magnetic field, Nonlinear system, Resonance (particle physics), Vibration, Multiple-scale analysis, Harmonic, Physics