| 单频外激励弹簧摆的鞍结分岔控制 |
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| 引用本文： | 萧寒,唐驾时,梁翠香.单频外激励弹簧摆的鞍结分岔控制[J].物理学报,2009,58(5):2989-2995. |
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| 作者姓名： | 萧寒 唐驾时 梁翠香 |
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| 作者单位： | (1)湖南大学力学与航空航天学院，长沙 410082; (2)宁波大学建筑工程与环境学院，宁波 315211 |
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| 基金项目： | 国家自然科学基金（批准号：10672053）资助的课题. |
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| 摘 要： | 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.
关键词：
外激励弹簧摆
鞍结分岔
振动幅值
反馈控制
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| 关 键 词： | 外激励弹簧摆 鞍结分岔 振动幅值 反馈控制 |
| 收稿时间： | 2008-09-20 |
Saddle-node bifurcation control of a spring pendulum with single-frequency excitation |
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| Xiao Han,Tang Jia-Shi,Liang Cui-Xiang.Saddle-node bifurcation control of a spring pendulum with single-frequency excitation[J].Acta Physica Sinica,2009,58(5):2989-2995. |
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| Authors: | Xiao Han Tang Jia-Shi Liang Cui-Xiang |
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| Abstract: | 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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| Keywords: | excitation spring pendulum saddle-node bifurcation amplitude feedback control |
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