非线性电容RLC串联电路的2次超谐共振分析  

Analysis for Quadratic Superharmonic Resonance of RLC Series Circuit with Nonlinear Capacitance

作　　者：李高峰[1] LI Gao-feng(Department of Basic Courses,Tangshan University,Tangshan 063000,China)

机构地区：[1]唐山学院基础部,河北唐山063000

出　　处：《唐山学院学报》2018年第6期1-4,32,共5页Journal of Tangshan University

基　　金：河北省自然基金项目(A2009000997);河北省教育厅重点项目(ZD2017307);唐山市科技计划项目(15130262a)

摘　　要：以非线性电容RLC串联电路为研究对象,应用多尺度法求得2次超谐共振的幅频响应方程,并且通过数值计算可知,电子元器件的参数变化对振幅值具有影响,幅频响应曲线具有跳跃和滞后现象,即电阻可以抑制振幅值,电源、电容、电感可以增大振幅值。With the RLC series circuit with nonlinear capacitance as the research object, the amplitude frequency response function of quadratic superharmonic resonance is established by means of multiple scales for nonlinear oscillations. The calculation shows that the param eters of electronic components have an influence on the amplitude value, and the amplitude frequency response curve has jump and hysteresis phenomenon, i.e. the resistance could lower the amplitude value, while the power, capacitance and inductance could raise it.

关 键 词：RLC串联电路 非线性电容 多尺度法 2次超谐共振 

分 类 号：O321[理学—一般力学与力学基础]