环形极板机电耦合强非线性系统主共振-1/2亚谐参数共振  

PRIMARY RESONANCE-1/2 SUBHARMONIC PARAMETRIC RESONANCE OF ANNULAR PLATE ELECTROMECHANICAL COUPLING STRONG NONLINEAR SYSTEM

作　　者：杨志安[1] 李熙[2] 

机构地区：[1]唐山学院唐山市结构与振动工程重点实验室,唐山063000 [2]河北联合大学机械工程学院,唐山063009

出　　处：《机械强度》2015年第2期198-203,共6页Journal of Mechanical Strength

基　　金：河北省自然科学基金(A2009000997)资助~~

摘　　要：研究环形极板机电耦合系统的强非线性问题。按照弹性力学理论建立环形极板机电耦合系统的动力学方程,利用Galerkin方法将其转化为非线性振动方程。转化后的振动方程是杜芬-马修方程,有两个外激频率。应用改进多尺度法求得系统的主共振-1/2亚谐参数共振的幅频响应曲线,分析了不同的系统参数对共振的影响。In order to study primary resonance-1/2 subharmonic parametric resonance of annular plate electromechanical coupling strong nonlinear system by applying elastic theory, the nonlinear dynamical equation of the system is established. Nonlinear oscillation equation is obtained based on the Galerkin＇ s method. It is Duffing-Mathieu equation with two external excitation frequencies. By means of modified method of multiple scales the approximation solutions of primary resonance-1/2 subharmonic parametric resonance of the system are acquired. Numerical analysis of the influence of different parameter is carried out.

关 键 词：环形极板机电耦合系统 改进多尺度法 强非线性 简谐激励 主共振-1/2亚谐参数共振 

分 类 号：O322[理学—一般力学与力学基础]