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中国物理学会期刊

外加正弦驱动力抑制一类分段光滑系统的混沌运动

CSTR: 32037.14.aps.54.4038

Suppression of chaotic motion in a class of piecewise-smooth systems by using sine periodic force

CSTR: 32037.14.aps.54.4038
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  • 针对含间隙碰撞振动的机械系统由于参数的改变,产生分叉和混沌运动,造成原稳定运行的系统产生异常振动时的故障消除方法展开研究.用外加正弦驱动力抑制混沌运动.提出了一种外加驱动力参数调节算法.该算法以原系统稳定运行时的可测状态量为希望目标,根据实际输出与希望目标的误差值,实时产生并逐步微调节至所需外加驱动力.通过对一个典型含间隙往复碰撞模型的数值仿真,检验了该方法的有效性.

     

    This paper studies how to suppress the abnormal vibration in a dynamic system wi th clearance. The abnormal vibration contains the bifurcations or chaotic motio n due to the change of some parameters of the nonlinear system. This paper prop oses a method to suppress chaotic motion by applying an external periodical for ce to the system. The periodical force is adjusted according to some real-time a lgorism related to an error between real-time states and the states when the sy stem is stable. This method has been applied to a two-degree-freedom impact vibration system. With numerical simulation, the effectiveness of the method is demonstrated.

     

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