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超音速飞行器机翼颤振的时滞反馈控制

齐欢欢 徐鉴 方明霞

齐欢欢, 徐鉴, 方明霞. 超音速飞行器机翼颤振的时滞反馈控制[J]. 应用数学和力学, 2016, 37(2): 210-218. doi: 10.3879/j.issn.1000-0887.2016.02.009
引用本文: 齐欢欢, 徐鉴, 方明霞. 超音速飞行器机翼颤振的时滞反馈控制[J]. 应用数学和力学, 2016, 37(2): 210-218. doi: 10.3879/j.issn.1000-0887.2016.02.009
QI Huan-huan, XU Jian, FANG Ming-xia. Time-Delayed Feedback Control of Flutter for Supersonic Airfoils[J]. Applied Mathematics and Mechanics, 2016, 37(2): 210-218. doi: 10.3879/j.issn.1000-0887.2016.02.009
Citation: QI Huan-huan, XU Jian, FANG Ming-xia. Time-Delayed Feedback Control of Flutter for Supersonic Airfoils[J]. Applied Mathematics and Mechanics, 2016, 37(2): 210-218. doi: 10.3879/j.issn.1000-0887.2016.02.009

超音速飞行器机翼颤振的时滞反馈控制

doi: 10.3879/j.issn.1000-0887.2016.02.009
详细信息
    作者简介:

    齐欢欢(1983—),女,工程师,硕士(通讯作者. E-mail: qihuan73@126.com).

  • 中图分类号: O354.4;TB123

Time-Delayed Feedback Control of Flutter for Supersonic Airfoils

  • 摘要: 采用时滞反馈主动控制方法对超音速飞行器机翼颤振进行控制,以提高飞行器机翼系统的颤振临界速度.首先根据二元机翼的力学模型,制定时滞反馈控制策略并建立时滞反馈控制系统的数学模型;分别对无控、零时滞反馈控制和有时滞反馈控制系统进行稳定性分析,获得时滞反馈控制系统的颤振稳定性边界.利用MATLAB/SIMULINK进行时域数值模拟,验证理论稳定性分析结果的正确性.结果表明:通过调节时滞量,可有效提高飞行器机翼的颤振临界速度,且控制策略简单,效果较好.
  • [1] 赵永辉. 气动弹性力学与控制[M]. 北京: 科学出版社, 2007.(ZHAO Yong-hui.Aeroelasticity and Control [M]. Beijing: Science Press, 2007.(in Chinese))
    [2] 吴志强, 张建伟. 二元机翼极限环颤振复杂分岔[J]. 工程力学, 2008,25(2): 52-55, 92.(WU Zhi-qiang, ZHANG Jian-wei. Complicated bifurcations in limit-cycle flutter of two-dimensional airfoil[J].Engineering Mechanics,2008,25(2): 52-55, 92.(in Chinese))
    [3] Abbas L K, Chen Q, O’Donnell K, Valentine D, Marzocca P. Bifurcations and chaotic behavior of hypersonic lifting surfaces with freeplay including the stiffness and damping nonlinearities[C]//48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference.Honolulu, Hawaii, 2007.
    [4] Ramesh M, Narayanan S. Controlling chaotic motions in a two-dimensional airfoil using time delayed feedback[J].Journal of Sound and Vibration,2001,239(5): 1037-1049.
    [5] Marzocca P, Librescu L, Na S, Rubillo C, Chan Y G. Non-linear aeroelastic response and control of supersonic flapped 2-D lifting surfaces[C]//47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference.Newport, Rhode Island, 2006.
    [6] Librescu L, Marzocca P, Silva W A. Aeroelasticity of 2-D lifting surfaces with time-delayed feedback control[J]. Journal of Fluids and Structures,2005,20(2): 197-215.
    [7] Librescu L, Marzocca P, Silva W A. Supersonic/hypersonic flutter and postflutter of geometrically imperfect circular cylindrical panels[J]. Journal of Spacecraft and Rockets,2002,39(5): 802-812.
    [8] 李斌, 杨智春, 谷迎松. 带延迟反馈控制的二元机翼颤振稳定性分析[J]. 机械科学与技术, 2007,26(1): 49-52.(LI Bin, YANG Zhi-chun, GU Ying-song. Flutter stability analysis for a two-dimensional wing with time-delayed feedback control[J].Mechanical Science and Technology,2007,26(1): 49-52.(in Chinese))
    [9] Zhao Y H. Stability of a two-dimensional airfoil with time-delayed feedback control[J].Journal of Fluids and Structures,2009,25(1): 1-25.
    [10] 齐欢欢. 输液管道颤振失稳的时滞控制[D]. 硕士学位论文. 上海: 同济大学, 2009.(QI Huan-huan. Delayed feedback control to flutter in a cantilever pipe conveying fluid[D]. Master Thesis. Shanghai: Tongji University, 2009.(in Chinese))
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出版历程
  • 收稿日期:  2015-08-12
  • 修回日期:  2015-10-11
  • 刊出日期:  2016-02-15

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