摘要
本文研究W inkler地基梁在温度场中受简谐激励作用的3次超谐共振问题,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3次超谐共振情况的一次近似解,分析了温度、阻尼、激励幅值、地基刚度等参数对系统的影响。
Study on 3 superharmonic resonance of a beam externally excited on the Winkler foundation in temperature field is carried out. By applying elastic theory and Galerkin ＇s method, the nonlinear dynamic equation of a beam externally excited on the Winkler foundation in temperature field is established. By using the method of multiple scales for nonlinear vibration analysis, the first approximate solution of 3 superharmonic resonance of the system is obtaind. Analysis of the influence of temperature, damping, excitation and 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5期239-242,共4页
Earthquake Engineering and Engineering Dynamics
关键词
WINKLER地基
温度场
多尺度法
3次超谐共振
Winkler foundation
temperation field
method of multiple scales
3 superharmonic resonsance
作者简介
彭震（1955-），男，副教授，主要从事力学研究．
