摘要
研究一个单自由度干摩擦系统的受迫振动行为.在1:4共振条件下,根据平衡点附近级数形式的解建立系统的Poincaré映射.运用范式理论将映射简化成标准形式.结果显示,系统会发生NS(Neimark-Sacker)分岔.数值模拟验证了理论结果.
An oscillator with dry friction under external excitation was considered. The Poincar6 map was established according to the series solution near equilibrium in the 1：4 reso- nance case. By theory of normal forms, the map was reduced into its normal form. It is shown that there exist phenomena of N-S bifurcations. The theoretical results are verified by numerical simulations.
出处
《应用数学和力学》
CSCD
北大核心
2013年第1期18-26,共9页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(11172246)
中央高校基本科研业务费专题资助项目(SWJ-TU11ZT15)
