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PRIMARY RESONANCE AND PRIMARY PARAMETRIC RESONANCE OF CURRENT-CARRYING CONDUCTOR SUBJECTED TO HARMONIC EXCITATION

Xi Xiao

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Abstract

In order to study the primary resonance and primary parametric resonance of current-carrying conductor subjected to harmonic excitation and ampere force,the Mathieu-equation of the system is derived first.By the method of multiple scale s for nonlinear vibrations,the approximation solution of primary resonance and primary parametric resonance of the system is obtained.Numerical analysis on the influence of current,tension,excitation and damping on the system response on the system responses is carried out.The variations of response curves against the changing parameters are obtained.

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What this paper is about

In order to study the primary resonance and primary parametric resonance of current-carrying conductor subjected to harmonic excitation and ampere force,the Mathieu-equation of the system is derived first.By the method of multiple scale s for nonlinear vibrations,the approximation solution of primary resonance and primary parametric resonance of the system is obtained.Numerical analysis on the influence of current,tension,excitation and damping on the system response on the system responses is carried out.The variations of response curves against the changing parameters are obtained.

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Available abstract

In order to study the primary resonance and primary parametric resonance of current-carrying conductor subjected to harmonic excitation and ampere force,the Mathieu-equation of the system is derived first.By the method of multiple scale s for nonlinear vibrations,the approximation solution of primary resonance and primary parametric resonance of the system is obtained.Numerical analysis on the influence of current,tension,excitation and damping on the system response on the system responses is carried out.The variations of response curves against the changing parameters are obtained.

Key concepts: Resonance (particle physics), Parametric oscillator, Parametric statistics, Conductor, Excitation, Harmonic, Multiple-scale analysis, Nonlinear resonance

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