| 强非线性振动系统极限环振幅控制研究 |
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| 引用本文： | 蔡萍,唐驾时. 强非线性振动系统极限环振幅控制研究[J]. 振动与冲击, 2013, 32(9): 110-112. DOI: |
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| 作者姓名： | 蔡萍 唐驾时 |
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| 作者单位： | 1. 漳州师范学院 数学与信息科学系, 漳州 363000; 2. 湖南大学 机械与运载工程学院, 长沙 410082 |
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| 摘 要： | 研究一类强非线性振动系统极限环振幅控制。利用改进的多尺度法求解系统极限环振幅表达式;构造几类线性、非线性反馈控制器,获得反馈系数与极限环振幅的近似解析关系;通过选择适当的反馈系数,可对极限环振幅进行控制;讨论并比较不同控制器的控制效果;数值模拟结果验证了幅值预测的正确性与控制的有效性。对较大参数 仍具有较高精确度。
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| 关 键 词： | 强非线性 极限环 振幅控制 改进多尺度法 |
| 收稿时间： | 2012-04-24 |
| 修稿时间： | 2012-06-08 |
Control of amplitude of limit cycles in a class ofstrongly nonlinear oscillation systems |
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| CAI Ping,TANG Jia-shi. Control of amplitude of limit cycles in a class ofstrongly nonlinear oscillation systems[J]. Journal of Vibration and Shock, 2013, 32(9): 110-112. DOI: |
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| Authors: | CAI Ping TANG Jia-shi |
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| Affiliation: | 1. Department of Mathematics and Information Science, Zhangzhou Teachers College, Zhangzhou 363000, China;2. College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China |
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| Abstract: | A new method was presented for studying the controlling of amplitude of limit cycles. The amplitude of limit cycles was obtained by the modified multiple scale method and the analytical formula regarding the amplitude of the controlled limit cycles and the feedback gains was also obtained; The control of amplitude of limit cycles was realized by choosing suitable feedback gains and the efficiencies of different controllers were discussed and compared; The validity of the analytical conclusions were verified by numerical simulations and it still has high accuracy for larger parameter . |
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| Keywords: | strong nonlinearitylimit cycleamplitude controlmodified multiple scale method |
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