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中国物理学会期刊

单频外激励弹簧摆的鞍结分岔控制

CSTR: 32037.14.aps.58.2989

Saddle-node bifurcation control of a spring pendulum with single-frequency excitation

CSTR: 32037.14.aps.58.2989
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  • 对弹簧摆的振动幅值控制进行研究,设计了反馈控制器,对弱非线性系统用近似解析方法求出了控制系统的幅值控制方程,得到了控制参数与幅值的函数关系,使多自由度非线性系统的鞍结分岔得到控制.这项工作可以推广到其他多自由度非线性系统的分岔控制.

     

    Spring pendulum under single-frequency excitation can be described by a group of very complicated nonlinear equations. The paper studies the amplitude of the spring pendulum, and feedback controllers are designed. Analytic method is used to obtain the control equation of amplitude, the relationship function between control parameter and amplitude is also abtained,which may act as an implementation of feedback control method for saddle-node bifurcation control, and also brings multi-scale method to numerical calculation of multiple-degree-of-freedom nonlinear systems.

     

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