摘要
本文首先推导出圆薄板的动力变分方程,用加辽金法得到一个三次非线性振动方程,用多尺度法对非共振硬激发进行了求解,继而对稳定性作了研究。
In this paper, the dynamic variational equation for circular thin plates is derived first. Then a third-order non-linear vibration equation is obtained by using Galerkin's method and the method of multiple scales is used to solve hard excitation problem without resonance, and the stability is studied.
出处
《甘肃工业大学学报》
1990年第2期98-105,共8页
Journal of Gansu University of Technology
关键词
薄板
非线性
振动
稳定性
圆形
non-linear vibration, Galerkin s method, stability, multiple scale method