摘要
应用非线性动力学理论,讨论一类非线性结构的受迫振动问题.通过对动力方程的分析求解,求出了系统的次谐周期轨道及其Melnikov函数,得到了方程存在次谐共振的条件.利用这些结果,可以预测非线性系统的混沌运动.
The forced vibrations of nonlinear systems were studied with the theory of nonlinear dynamics equations. The conditions for subharmonic resonance to exist were obtained, and the subharmonic periodic orbits of the system and their Melnikov functions were derived. The results presented can be used in prediction of chaotic motion of a nonlinear system.
出处
《西南交通大学学报》
EI
CSCD
北大核心
2003年第6期673-676,共4页
Journal of Southwest Jiaotong University
关键词
非线性系统
共振
受迫振动
混沌
次谐轨道
nonlinear systems
resonance
forced vibration
chaos
subharmonic orbits
