【摘要】 基于Hamilton原理,得到了弹性地基梁在温度场中受简谐激励作用的非线性强迫振动控制方程组.运用Kantorovich平均法将非线性偏微分方程转化为一组常微分方程,考虑不可移简支边界条件,采用打靶法得到了主共振的数值结果.详细观察了不同参数对主共振响应的影响.更多还原

【Abstract】 Based on the Hamilton principal,the control equations of the nonlinear forced vibration of an elatic foundation beam subjected harmonic excitation in a temperature field are obtained.The nonlinear partial differential equations are converted into a set of ordinary ones by using Kantorovich averaging procedure.The numerical results of the primary resonance are obtained by employing the shooting method,considering immovable simply supported boundary conditions.The influence of different parameters on the primary resonance is examined in details.更多还原