Winkler地基梁在温度场中受简谐激励的主参数共振分析

Analysis on Primary Parametric Resonant of a Beam Externally Excited on the Winkler Foundation in Temperature Field

应用弹性理论和Galerkin方法建立Winkler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,求得系统主参数共振的近似解。分析不同参数对主参数共振响应曲线的影响。

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