Winkler地基梁在温度场中受简谐激励的1/3次亚谐共振分析  

Analysis of 1/3 subharmonic resonance of a beam externally excited on Winkler foundation in temperature field

作　　者：彭震[1] 杨志安[1] 

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

出　　处：《地震工程与工程振动》2006年第4期132-135,共4页Earthquake Engineering and Engineering Dynamics

摘　　要：研究W inkler地基梁在温度场中受简谐激励作用的1/3次亚谐共振问题。应用弹性理论和Galerk in方法建立W inkler地基梁在温度场中受简谐激励作用的非线性动力方程,根据非线性振动的多尺度法求得系统满足1/3次亚谐共振情况的一次近似解,并对其进行数值计算,分析了温度、调谐值、激励、阻尼、地基刚度等参数对系统的影响。In order to study the 1/3 subharmonic resonance of a beam externally excited on the Winkler foundation in temperature field, by using elastic theory and Galerkin＇s method, the nonlinear dynamical equation of the system is established. By means of the method of multiple scales, the approximate solution of 1/3 subharmonie resonance of the system is obtained. Numerical analysis of the influence of temperture, tuning, excitation, damping, foundation stiffness on the system is carried out.

关 键 词：WINKLER地基 温度场 多尺度法 亚谐共振 

分 类 号：P315.96[天文地球—地震学] O321[天文地球—固体地球物理学]