温度场中斜梁受简谐激励的1/2次亚谐-主参数共振  

The 1/2 subharmonic resonance and primary parametric resonance of inclined beam subjected to harmonic excitation in temperature field

作　　者：杨志安[1] 王丽[2] 

机构地区：[1]唐山学院,河北唐山063000 [2]河北理工大学机械工程学院,河北唐山063000

出　　处：《闽江学院学报》2008年第2期40-43,共4页Journal of Minjiang University

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：以温度场中斜梁受简谐激励的非线性振动方程为基础,应用非线性振动的多尺度法,求得非线性振动系统1/2亚谐-主参数共振的一次近似解,并进行定常解稳定性分析和数值计算.分析了温度、激励、几何尺寸对1/2亚谐-主参数共振幅频响应曲线的影响.Based on nonlinear vibration equation of inclined beam subjected to harmonic excitation in temperature field, the first approximate solution of the 1/2 subharmonic resonance and primary parametric resonance of the nonlinear vibration system is obtained by means of the method of multiple scales for nonlinear oscillations. Numerical analysis on the influence of temperature, excitation, and geometric parameter on amplitude frequency response curves is carried out. Stability of steady state solutions is analyzed.

关 键 词：温度场 斜梁 多尺度法 1/2亚谐-主参数共振 

分 类 号：O321[理学—一般力学与力学基础]