摘要
本文从可瘪管的运动方程导出有阻尼Mathieu方程,然后用渐近展开法精确到各阶精度求得了稳定界限.指出了用平均变分法所得结果的精度,同时也解释了在实验中观察到的某些现象.
This paper first reduces the motion equation of a collapsible tube to the Mathieu equation with damping. Then the stability charts correcting the accuracy to each order are obtained with the method of asymptotic expansions. The accuracy of the results obtained with the average variational method is shown. And some phenomena observed in the experiment are also explained.
出处
《应用数学和力学》
EI
CSCD
北大核心
1992年第2期187-191,共5页
Applied Mathematics and Mechanics
关键词
可瘪管
MATHIEU方程
渐近解
collapsible tube, Mathieu equation, parametric excitation