一类覆冰悬索退化系统的中心判定

The problem of determining center for one iced cable structure degraded system

讨论一类二自由度覆冰悬索结构模型两种退化系统的中心判定.首先通过运用多尺度方法对二自由度覆冰悬索结构模型的两种退化系统进行摄动分析,得出对应的5次平均方程,然后把平均方程转化为复方程,借助Lyapunov量复算法判定得出原点是中心.

Determining center for two degraded systems of one two-degree-of-freedom iced cable structure model were mainly investigated. Firstly, the method of multiple scales was used to carry out perturbation analysis for two degraded systems of two-degree-of-freedom iced cable structure model, and the averaged equations of the two systems were obtained;then, it was concluded that the origin of two kinds of systems was the center with complex algorithm of Lyapunov values by converting averaged equations into complex equations.