Winkler地基上材料非线性矩形薄板1/3次亚谐共振  

1/3 SUBHARMONIC RESONANT OF THIN RECTANGULAR PLATE ON WINKLER FOUNDATION CONSIDERING MATERIAL NONLINEARITY

作　　者：杨志安[1] 韩彦斌[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]西南交通大学土木工程学院,成都610031

出　　处：《机械强度》2010年第1期171-174,共4页Journal of Mechanical Strength

基　　金：唐山市结构与振动工程重点实验室应用基础研究项目(03201501A-7)

摘　　要：为研究Winkler地基上材料非线性矩形薄板受简谐激励的非线性振动,应用弹性力学理论建立其动力学方程,并由Galerkin方法将其转化为非线性振动方程。应用非线性振动的多尺度法求得系统1/3次亚谐共振的近似解,并进行数值计算。分析激励、几何参数、阻尼系数、非线性参数对共振响应曲线的影响。Based on the elastic theory, nonlinear dynamical equations of externally excited thin rectangular plate on Winkler foundation considering nonlinearity were established in order to study the nonlinear vibration. Then the corresponding nonlinear vibration equation was obtained by Galerkin＇ s method. By means of the method of multiple scales for nonlinear vibration, the first approximate solution of 1/3 subharmonic resonance of the system was obtained, and numerical analysis of the influence of excitation, geometry parameter, damping, and nonlinearity, parameter on the system were carried out.

关 键 词：非线性 多尺度法 1/3次亚谐共振 WINKLER地基 

分 类 号：O322[理学—一般力学与力学基础]