摘要
基于Hamilton原理,得到了梁在横向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成一组常微分方程,考虑不可移简支边界条件,采用打靶法得到了9倍超谐波共振的数值结果。详细考察了不同参数对超谐波共振响应的影响。
Based on the Hamilton principal, the control equations of the nonlinear forced vibration of a beam subjected to transverse excitation load were obtained and the nonlinear partial differential equations were converted into a set of ordinary ones by using Kantorovich averaging procedure. Considering immovable simply supported boundary conditions, the numerical results of the 9 - fold superharmonic resonance were obtained by employing the shooting method, the influence of different parameters on the 9 -fold superharmonic resonance was examined in details.
出处
《青海大学学报（自然科学版）》
2013年第6期29-32,共4页
Journal of Qinghai University(Natural Science)
关键词
梁
非线性强迫振动
9倍超谐波共振
打靶法
beam
nonlinear forced vibration
9 - fold superharmonic resonance
shooting method
