Winkler地基梁在温度场中受简谐激励的主共振分析

Analysis of primary resonance of a beam externally excited on the Winkler foundation in temperature field

研究W inkler地基梁在温度场中受简谐激励作用的主共振问题。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。应用非线性振动的多尺度法,求得系统主共振的近似解。分析不同参数对主共振响应曲线的影响。

Study on the primary resonance of a beam externally excited on the Winkler foundation in a temperature field is carried out. Applying the elastic theory and Galerkin＇s method, the nonlinear dynamical equation of a beam externally excited on the Winkler foundation in a temperature field is established. By means of the method of multiple scales the approximate solution of the primary resonance of a system is obtained. Numerical analysis of the influence of all kinds of parameters on the system is also carried out.