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3rd Superharmonic Resonance of Current-carrying Conductor Subjected to Harmonic Excitation

Yang Zhi-an

Abstract

3rd superharmonic resonance of a current-carrying conductor subjected to harmonic excitation and ampere force is studied.Duffing equation of the system is established by means of dynamics theory.With a method of multiple scales for nonlinear vibrations,approximate solution of 3rd superharmonic resonance is obtained.Influence of director current,alternating current,detuning,tension and excitation on the system is analyzed.

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Key concepts: Subharmonic function, Excitation, Resonance (particle physics), Nonlinear system, Conductor, Duffing equation, Harmonic, Current (fluid)