摘要
本文研究了厚度呈幂指数规律变化的变厚度圆饭的非线性强迫振动问题。文中首先用半解析法求解了动态Von Ka＇rma＇n大变形方程,导出了周期均布荷载作用下轴对称变厚度薄圆板的非线性强迫振动微分方程。然后用小参数摄动法求解了振动方程,得到了非线性的非共振周期解和共振周期解。绘制了振幅——频率关系图。
In this paper, the nonlinear forced vibration of circular plates with thicknesses varying according to power indexes are studied. Firstly, the differential equation of nonlinear forced, vibration especially for circular plates with cylinderically symmetric varying thickness is deduced from the Von Karman's equation being been taken large deflection and dynamic loading-homogeneous periodic loading, by a semi-analytical method, Then by the use of the method of small parameter, this differential equation is solved, obtaining the nonlinear, resonant and nonresonant periodic solution, Figures of the amplitudes against the frequencies are given.
出处
《上海力学》
CSCD
1992年第3期59-66,共8页
Chinese Quarterly Mechanics
