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.
出处
《地震工程与工程振动》
CSCD
北大核心
2006年第4期132-135,共4页
Earthquake Engineering and Engineering Dynamics
关键词
WINKLER地基
温度场
多尺度法
亚谐共振
Winkler foundation
temperature field
the method of multiple scales
subharmonic resonance
