温度场中斜梁受简谐激励的主参数共振  

Primary Parametric Resonance of Inclined Beam Subjected to Harmonic Excitation in Temperature Field

作　　者：李高峰[1] 杨志安[1] 赵雪娟[1] 王丽[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,河北唐山063000 [2]河北联合大学机械工程学院,河北唐山063009

出　　处：《唐山学院学报》2011年第6期9-12,16,共5页Journal of Tangshan University

基　　金：2010河北省教育厅科学研究计划(Z2010172)

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、长度、面积、激励等参数对主参数共振幅频响应曲线的影响。数值结果表明,系统主参数共振的共振区很窄,随着温度和长度的减小,系统主参数共振的共振区增大。Based on nonlinear vibration equation of inclined beam subjected to harmonic excitation in temperature field, the first approximate solution of primary parametric resonance of the nonlinear vibration system is obtained by means of the method of multiple scales for nonlinear oscillations. Results of numerical analysis of the influence of temperature and the ratio of length to height on amplitude frequency response curves are as follows. An analysis is made of stability of steady state solutions and the resonant region of the primary paratric resonance system is narrow. With the decreasing of the temperature and the ratio of length to height, the resonant region of primary parametric resonance of the system increases.

关 键 词：温度场 斜梁 多尺度法 主参数共振 

分 类 号：O321[理学—一般力学与力学基础]