机翼颤振的时滞反馈控制研究

罗梦翔,高明周,蔡国平

振动与冲击 ›› 2016, Vol. 35 ›› Issue (18) : 58-61.

PDF(1184 KB)
PDF(1184 KB)
振动与冲击 ›› 2016, Vol. 35 ›› Issue (18) : 58-61.
论文

机翼颤振的时滞反馈控制研究

  • 罗梦翔,高明周,蔡国平
作者信息 +

Delayed feedback control for airfoil flutter

  • Luo Mengxiang, Gao Mingzhou, Cai Guoping
Author information +
文章历史 +

摘要

采用瞬时最优方法对二元机翼颤振的时滞反馈控制进行研究。首先采用Lagrange方法建立机翼系统的颤振动力学模型,其中考虑了机翼俯仰刚度的立方非线性,然后采用瞬时最优控制方法进行了非线性时滞反馈控制律的设计,最后通过数值仿真对控制方法的有效性进行了验证。仿真结果显示,时滞控制律能够有效地抑制机翼的颤振。

Abstract

The delayed feedback control for a two-dimensional airfoil flutter was investigated.The dynamic equation for airfoil flutter was established using the Lagrange equation, in which the cubic nonlinearity describing the wing pitching stiffness was taken in account.Then the instantaneous optimal control method was used to design a nonlinear delayed feedback controller.Finally, numerical simulations were carried out to demonstrate the effectiveness of the proposed controller.The simulation results indicate that the delayed feedback controller proposed can effectively suppress the airfoil flutter.

关键词

机翼 / 颤振 / 瞬时最优控制 / 时滞

Key words

airfoil / flutter / instantaneous optimal control / time delay

引用本文

导出引用
罗梦翔,高明周,蔡国平. 机翼颤振的时滞反馈控制研究[J]. 振动与冲击, 2016, 35(18): 58-61
Luo Mengxiang, Gao Mingzhou, Cai Guoping. Delayed feedback control for airfoil flutter[J]. Journal of Vibration and Shock, 2016, 35(18): 58-61

参考文献

[1] 于明礼, 文浩, 胡海岩. 二维翼段颤振的 控制[J]. 振动工程学报, 2006, 19(3): 326-330. (Yu Mingli, Wen Hao, Hu Haiyan. Active flutter suppression of a two-dimentional airfoil using  synthesis [J]. Journal of Vibration Engineering, 2006, 19(3): 326-330. (in Chinese))
[2] 于明礼, 文浩, 胡海岩, 等. 二维翼段颤振的μ控制[J]. 航空学报, 2007, 28(2): 340-343. (Yu Mingli, Wen Hao, Hu Haiyan, et al. Active flutter suppression of a two dimensional airfoil section using μ synthesis [J]. Acta Aeronautica et Astronautica Sinica, 2007, 28(2): 340-343. (in Chinese))
[3] Wang Z, Behal A, Marzocca P. Model-free control design for multi-input multi-output aerolastic system subject to external disturbance [J]. Journal of Guidance, Control, and Dynamics, 2011, 34(2): 446-458.
[4] 钱文敏, 赵永辉, 胡海岩. 二元机翼/外挂系统的颤振鲁棒抑制[J]. 中国科学: 物理学, 力学, 天文学, 2013, 43(4): 334-344. (Qian Wenmin, Zhao Yonghui, Hu Haiyan. Robust flutter suppression for a 2-dimensional wing-store system [J]. Scientia Sinica Physica, Mechanica & Astronomica, 2013, 43(4): 334-344. (in Chinese))
[5] Zhao Y H. Stability of a time-delayed aeroelastic system with a control surface [J]. Aerospace Science and Technology, 2011, 15(1): 72-77.
[6] Librescu L, Marzocca P. Aeroelasticity of 2D lifting surfaces with time-delayed feedback control [J]. Journal of Fluids and Structures, 2005, 20: 197–215.
[7] Yuan Y, Yu P, Librescu L, et al. Aeroelasticity of time-delayed feedback control of two-dimensional supersonic lifting surfaces [J]. Journal of Guidance, Control, and Dynamics, 2004, 27(5): 795-803.
[8] Huang R, Hu H, Zhao Y. Designing active flutter suppression for high-dimensional aeroelastic systems involving a control delay [J]. Journal of Fluids and Structures, 2012, 34: 33-50.
[9] 王囡囡. 二元机翼颤振及其主动控制的研究[D]. 中国矿业大学博士学位论文, 2013. (Wang Nannan. Research on flutter and active control of two-dimensional airfoil [D]. PhD Dissertation, China University of Mining and Technology, 2013. (in Chinese))
[10] Bisplinghoff R L, Ashley H. Principles of aeroelasticity [M]. Courier Dover Publications, 1962.
[11] Yang J N, Li Z, Danielians A, et al. Aseismic hybrid control of nonlinear and hysteretic structures II [J]. Journal of Engineering Mechanics, 1992, 118(7): 1441-1456.
[12] 蔡国平, 陈龙祥. 时滞反馈控制的若干进展[J]. 力学进展, 2013, 43(1): 21-27. (Cai Guoping, Chen Longxiang. Some problem of delayed feedback control [J]. Advances in Mechanics, 1992, 118(7): 1441-1456. (in Chinese))
[13] Cai Guoping, Huang Jinzhi. Instantaneous optimal method for vibration control of linear sampled-data systems with time delay in control [J]. Journal of Sound and Vibration, 2003, 262(5): 1057-1071.
[14] 赵永辉. 气动弹性力学与控制[M]. 科学出版社, 2007. (Zhao Yonghui. Aeroelastic Dynamics and Control [M]. Science Press, 2007.(in Chinese)

PDF(1184 KB)

Accesses

Citation

Detail

段落导航
相关文章

/