摘要
用插值摄动法［１］求解一类有阻尼的弱非线性振动问题。算例表明，当小参数很小时，本文结果和多尺度法的一级近似结果十分接近。当小参数不是很小时（即接近于强非线性振动时），本文结果，仍然相当准确，并优于多尺度法的一级近似结果。
In this paper, a class of weakly nonlinear damping oscillation problems are solved by using the interpolation perturbation method. The numerical example shows that when the small parameter is very small, the result of this paper is very close to that obtained by multiple scales. When the small parameter is not small (i.e. near the strongly nonlinear vibration), the result of this paper is still quite accurate and is better than that obtained by multiple scales.
出处
《应用力学学报》
EI
CAS
CSCD
北大核心
1997年第3期115-119,共5页
Chinese Journal of Applied Mechanics
关键词
弱非线性振动
插值
奇异摄动法
非线性振动
weakly nonlinear ascillation, damping, interpolator, singular perturbation method.
