摘要
应用摄动法的思想和子空间映射的技巧,给出一类多自由度非线性动力系统周期解的存在性、唯一性和稳定性的判别法。该法把问题归结为初等积分的计算。其主要特点是计算简单,应用方便。文后给出了两个例子。
This work gives a discrimination method of the existence uniqueness and stability of the periodicsolutions for a nonlinear dynamical system with many degrees of freedom by appling the idea of the perturbation method and the techniques of the subspace.The present method summarizes the questionsinto the computations of the primary integrals.The main characterisitics of this approach are simple incalculations and convenient in applications.Two examples are given,finally.
出处
《应用力学学报》
CAS
CSCD
北大核心
1995年第2期40-46,共7页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金
关键词
非线性
动力系统
周期解
稳定性
分析力学
non-linear dynamical system with many degress of freedom,periodic solution, existence,uniqueness
stability .