Analysis on 1/3 Subharmonic Resonance of RLC Circuit with Indutance Nonlinearity

摘要：

In order to study on nonlinear vibration of RLC circuit,a mathematical model of RLC circuit with inductance nonlinearity and harmonic excitation is established by means of Lagrange-Maxwell equation.Based on the method of multiple scales for nonlinear vibration analysis,the first approximation solutions and corresponding to steady state solutions of the 1/3 subharmonic resonance system are obtained.Numerical analysis results show that the amplitude of the system increases with increasing of plate area and linear coefficient of inductance,while it decreases with increasing plate distance,voltage,and nonlinear inductance coefficient.It has also been found the nature frequency of the system increases with the increasing plate distance but it decreases when the plate area and linear inductance coefficient increase.

关键词： RLC circuit.the method of multiple scales. inductance nonlinearity.1/3 subharmonic resonance.

作者: Zhian Yang Yihui Cui Xiaoyan Xi

作者单位: Tangshan Key Lab of Structural and Vibration Engineering Tangshan College Tangshan, Hebei Province,0 Robotics Institute Beijing University of Aeronautics and Astronautics Beijing 100083,China

会议类型: 国际会议

会议名称: 2008 IEEE International Conference on Onformation and Automation(IEEE 信息与自动化国际会议)

会议地点: 张家界

会议语种:英文

页码: 936-940

在线出版日期: 2008-06-20（万方平台首次上网日期，不代表论文的发表时间）