2009Journal of Hebei Polytechnic UniversityRequires access

Primary Resonance of Wire Subjected to Harmonic Excitation in Magnetic Field

Yang Zhi-an

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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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What this paper is about

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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Available 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.

Key concepts: Excitation, Magnetic field, Nonlinear system, Resonance (particle physics), Vibration, Multiple-scale analysis, Harmonic, Physics

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