摘要
本文研究了一端固定一端滑动承受轴向简谐载荷的屈曲梁的非线性响应现象.利用数值模拟分析了其定态特征、基本参数共振和主参数共振的全局分岔过程,得到了系统的倍周期分岔、暂态混沌和混沌运动等复杂动力学行为.
In this paper, the nonlinear responses of a clamped-sliding buckled beam to a harmonic axial excitation are investigated. By using numerical simulations, its steady state characters, bifurcation graphs of fundamental parametric resonance and principle parametric resonance are studied. The system＇s complicated dynamic behaviors, such as period doubling bifurcations, transient chaos and chaos are obtained.
出处
《数学杂志》
CSCD
北大核心
2008年第1期90-94,共5页
Journal of Mathematics
基金
国家自然科学基金资助项目(10372074)
关键词
参激屈曲梁
定态
倍周期分岔
混沌运动
吸引子
parametrically excited buckled beam
steady state
period-doubling bifurcations
chaos
attractor
