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参激屈曲梁非线性现象分析
ANALYSIS OF THE NONLINEAR PHENOMENA OF A PARAMETRICALLY EXCITED BUCKLED BEAM
【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.
【Abstract】 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.
【关键词】 参激屈曲梁;
定态;
倍周期分岔;
混沌运动;
吸引子;
【Key words】 parametrically excited buckled beam; steady state; period-doubling bifurcations; chaos; attractor;
【Key words】 parametrically excited buckled beam; steady state; period-doubling bifurcations; chaos; attractor;
【基金】 国家自然科学基金资助项目(10372074)
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2008年01期
- 【分类号】O322
- 【被引频次】2
- 【下载频次】81