Primary Resonance of Circuit-Spring System with Internal Resonance and Inductance Nonlinearity
Nonlinear phenomena are observed in coupled RLC (Resistance-Inductance-Capacitance) circuit and spring system; a new mathematical model is presented to adapt advanced research. Its dynamic equation considering inductance nonlinearity and harmonic excitation is established by Lagrange-Maxwell equation. Based on multiple scales method for nonlinear vibration analysis, the first approximation solutions and its steady state solutions of the doubled resonance system are obtained. Shown as the numerical analysis results, the two coupled modals are all excited and vibrated when the system meets the double resonances condition. Energy is transformed between two modals. With the changing of parameters of the system, vibration amplitude of certain modal can be changed more obviously. Changing the excitation, a similar saturation phenomenon can be found. In addition, nonlinear inductance can change the topology structure of response curves when the parameters and resonant conditions are equal.
RLC circuit two degree of freedom the method of multiple scales inductance nonlinearity primary resonance
Yang Zhian Cui Yihui Xi Xiaoyan
Key Laboratory of Structure & Vibration Engineering Tangshan College, Tangshan, Hebei, 063000, China Robotics Institute Beihang University Beijing, China
国际会议
长沙
英文
2056-2059
2010-03-13（万方平台首次上网日期，不代表论文的发表时间）