参激非线性振子不稳定区域的实验研究  

An Experimental Study of Instability Loci of a Parametrically Excited Nonlinear Oscillator

作　　者：季进臣[1] 陈予恕[1] 

机构地区：[1]天津大学力学系

出　　处：《振动工程学报》1997年第4期491-495,共5页Journal of Vibration Engineering

基　　金：国家自然科学基金

摘　　要：对一端固定、一端滑动、受轴向简谐激励的屈曲梁的非线性动力学行为进行了实验研究。对固定的参数激励频率和阻尼，当参数激励幅值较小时梁的运动是周期的，但大幅值激励会使运动通过倍周期分岔变为混沌。实验得到了动态响应在参数平面上的分布，并研究了阻尼对分布区域的影响。实验结果为全面了解系统解的分布及该类结构的动力学设计提供了有价值的资料。An experimental study of the nonlinear dynamic response of a clamped sliding buckled beam under a harmonic axial load is presented.For fixed damping and fixed excited frequency the motion of the beam under small amplitude of force is periodic,but becomes chaotic through period doubling bifurcation with increase of the force. The instability regions of the response are obtained from the experiments.The effect of damping on the instability regions is also investigated.The experimental results can provide valuable information for understanding the dynamic response of the oscillator for dynamic design of such kind of structures.

关 键 词：非线性振动 参量激发 非线性振子 不稳定区域 

分 类 号：O322[理学—一般力学与力学基础]