摘要
本文对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进行了实验。研究了其基本参数共振和主参数共振两种情况，揭示了系统的倍周期分岔和混沌运动等复杂动力学行为。在某些情况下，混沌吸引子和周期吸引子共存，另一些则存在间歇混沌。给出了响应的时间历程、相图。
Experiments on the nonlinear response of a clamped sliding buckled beam to a harmonic axial excitation are presented. Two types of resonance(fundamental parametric resonance and principle parametric resonance) are studied, and the system′s complicated dynamic behaviors, such as period multiplying bifurcations and chaos, observed. It is found that in some cases, a chaotic attractor may coexist with a period attractor, and in some other cases only intermittent chaos occure. Some typical time histories, phase plane trajectories, Poincare maps, and frequency spectra of the response are given.
出处
《实验力学》
CSCD
北大核心
1997年第2期248-259,共12页
Journal of Experimental Mechanics
基金
国家自然科学基金
关键词
参数激励
屈曲梁
倍周期分岔
混沌运动
梁
experiment, papametrically excited buckled beam, period doubling bifurcations, chaos.
