摘要
本文考虑了一个含小阻尼、受周期激励的单自由度干摩擦振子,运用Melnikov方法得到了系统出现马蹄型混沌的参数区域.通过数值方法,给出了不同参数下系统的相图和Poincaré截面图,计算了系统的Lyapunov指数.数值结果验证了解析结果,并且表明系统经历周期倍化进入混沌.
A-single-degree-of-freedom dry friction oscillator with small damping driven by periodic excitation is investigated in this paper. The Melnikov method is used to obtain the parameter region of the horseshoe type chaos. By means of numerical method,the phase diagram and Poincare section diagram of the system with different parameters are given. The Lyapunov exponent of the system is also calculated. Numerical results verify the analytical results,indicating that the system undergoes periodic doubling and turns into chaos.
作者
秦琅
谢建华
Qin Lang;Xie Jianhua(School of Mechanics and Engineering,Southwest Jiaotong University,Chengdu 610031,China)
出处
《动力学与控制学报》
2018年第3期239-243,共5页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11572263
11732014)~~
