基于相平面法的结冰飞机纵向非线性稳定域分析
收稿日期: 2015-05-08
修回日期: 2015-07-07
网络出版日期: 2015-07-14
基金资助
国家"973"计划(2015CB755805);国家自然科学基金(61374145)
Longitudinal nonlinear stabilizing region for icing aircraft based on phase-plane method
Received date: 2015-05-08
Revised date: 2015-07-07
Online published: 2015-07-14
Supported by
National Basic Pesearch Program of China(2015CB755805);National Natural Science Foundation of China(61374145)
结冰是威胁飞机飞行安全的重要因素之一,研究结冰后飞机稳定性及稳定域范围对飞机操纵安全和飞行安全极其重要。由于结冰后大飞机失速迎角提前,仅仅研究小迎角线性阶段的飞行稳定性显然不能满足要求。首先根据飞机迎角和升力曲线非线性关系建立了结冰条件下大迎角阶段飞机纵向非线性系统模型,然后通过相平面法刻画了迎角和俯仰角速度构成的不同飞行状态下飞机的纵向运动的稳定域,并探讨了迎角和俯仰角速度对纵向稳定性的影响规律,最后针对稳定域内外的不同初始状态,进行了零输入响应时域仿真,验证了相平面法确定的稳定域的有效性和准确性。研究结果可为飞机结冰后的稳定边界确定和边界保护提供一定的参考。
屈亮 , 李颖晖 , 袁国强 , 徐浩军 . 基于相平面法的结冰飞机纵向非线性稳定域分析[J]. 航空学报, 2016 , 37(3) : 865 -872 . DOI: 10.7527/S1000-6893.2015.0197
Icing is one of the factors that could pose great threat to flight safety; therefore it is significant to conduct a research on stability and stabilizing region of aircraft for control and flight safety under icing conditions. Due to the early arrival of stalling angle of attack of icing large airplane, it is obvious that the research on the flight stability of a small angle of attack in the linear phase cannot meet the requirement. Firstly, the aircraft longitudinal nonlinear model for large angle of attack is proposed under icing conditions based on the nonlinear relation between the angle of attack and the lift. Then, the longitudinal stabilizing region of angle of attack and pitch angular velocity is depicted based on phase-plane method. At the same time, the influences of angle of attack and pitch angular velocity on longitudinal stability are analyzed. Finally, the stabilizing region based on phase-plane method is verified through the time domain simulation with zero input according to different initial conditions inside and outside of the stabilizing region. The results can provide a reference for stability envelope determination and envelope protection of icing aircraft.
[1] 陈宇, 罗艳春, 刘国庆, 等. 飞机结冰对飞行安全的影响[J]. 装备制造技术, 2014(5):254-255. CHEN Y, LUO Y C, LIU G Q, et al. Aircraft icing effect on flight safe[J]. Equipment Manufacturing Technology, 2014(5):254-255(in Chinese).
[2] Safety Advisor. Aircraft icing[EB/OL].(2013-05-01)[2015-05-08]. http://www.aopa.org_media/Files/AOPA/Home/Pilot%20Resources/ASI/Safety%20Advisors/sall.pdf.
[3] BRAGG M B, HUTCHISON T, MERRET J, et al. Effect of ice accretion on aircraft flight dynamics:AIAA-2000-0360[R]. Reston:AIAA, 2000.
[4] LAMPTON A, VALASEK J. Prediction of icing effects on the lateral/directional stability and control light airplanes:AIAA-2006-6487[R]. Reston:AIAA, 2006.
[5] LAMPTON A, VALASEK J. Predicition of icing effects on the dynamical response of light airplanes[J]. Journal of Guidance, Control, and Dynamics, 2007, 30(3):722-732.
[6] LAMPTON A, VALASEK J. Prediction of icing effects on the coupled dynamic response of light airplanes[J]. Journal of Guidance, Control, and Dynamics, 2008, 31(3):656-673.
[7] 裘燮纲, 韩凤华. 飞机防冰系统[M]. 北京:航空专业教材编审组, 1985. QIU X G, HAN F H. Aircraft anti-icing system[M]. Beijing:Aviation Professional Editors Publishing Group, 1985(in Chinese).
[8] 张强, 刘艳, 高正红. 结冰条件下的飞机飞行动力学仿真[J]. 飞行力学, 2011, 29(3):4-7. ZHANG Q, LIU Y, GAO Z H. Simulation of aircraft flight dynamics affected by ice accretion[J]. Flight Dynamics, 2011, 29(3):4-7(in Chinese).
[9] 徐忠达, 苏媛, 曹义华. 积冰对飞机操纵性的影响与仿真[J]. 北京航空航天大学学报, 2012, 38(7):941-946. XU Z D, SU Y, CAO Y H. Simulation of ice effects on aircraft controllability[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, 38(7):941-946(in Chinese).
[10] 应思斌, 艾剑良. 飞机结冰包线保护对开环飞行性能影响与仿真[J]. 系统仿真学报, 2010, 22(10):2273-2301. YING S B, AI J L. Simulation of aircraft flight envelope protect in icing encounters effects on open loop dynamic[J]. Journal of System Simulation, 2010, 22(10):2273-2301(in Chinese).
[11] 杜亮, 洪冠新. 结冰对飞机飞行包线影响分析及控制[J]. 飞行力学, 2008, 26(2):9-12. DU L, HONG G X. Analysis and control of icing effects on aircraft flight envelope[J]. Flight Dynamics, 2008, 26(2):9-12(in Chinese).
[12] 王明丰, 王立新, 黄成涛. 积冰对飞机纵向操稳特性的量化影响[J]. 北京航空航天大学学报, 2008, 34(5):592-595. WANG M F, WANG L X, HUANG C T. Computational effects of ice accretion on aircraft longitudinal stability and control[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(5):592-595(in Chinese).
[13] 袁坤刚, 曹义华. 结冰对飞机飞行动力学特性影响的仿真研究[J]. 系统仿真学报, 2007,19(9):1929-1932. YUAN K G, CAO Y H. Simulation of ice effect on aircraft flight dynamics[J]. Journal of System Simulation, 2007, 19(9):1929-1932(in Chinese).
[14] 高浩, 周志强. 高机动性飞机大迎角全局稳定性研究[J]. 航空学报, 1987, 8(11):562-571. GAO H, ZHOU Z Q. A study of the global stability of high performance aircrafts at high angle-of-attack[J]. Acta Aeronautica et Astronautica Sinica, 1987, 8(11):562-571(in Chinese).
[15] 何植岱, 郭文. 非线性飞行稳定性研究的新综合方法[J]. 空气动力学学报, 1990, 8(2):143-151. HE Z D, GUO W. A novel synthetical method for study nonlinear flight stability[J]. Acta Aerodynamica Sinica, 1990, 8(2):143-151(in Chinese).
[16] 黎康, 方振平. 基于全局稳定性分析的大迎角飞控系统设计[J]. 北京航空航天大学学报, 2004, 30(6):516-519. LI K, FANG Z P. High angle-of-attack control law design based on global stability analysis[J]. Journal of Beijing University of Aeronautics and Astronautics, 2004, 30(6):516-519(in Chinese).
[17] 周莉, 徐浩军, 闵桂龙. 结冰对飞机动态响应特性的影响[J]. 飞行力学, 2011, 29(4):32-36. ZHOU L, XU H J, MIN G L. Effects of ice accretion on aircraft dynamic response[J]. Flight Dynamics, 2011, 29(4):32-36(in Chinese).
[18] 李殿璞. 非线性控制系统[M]. 西安:西北工业大学出版社, 2009. Li D P. Nonlinear control system[M]. Xi'an:Northwestern Polytechnical University Press, 2009(in Chinese).
[19] 董丽华. 利用相平面上的稳定性分析法求微分方程的解[J]. 长春师范学院学报:自然科学版, 2008, 27(3):19-21. DONG L H. Utilizing the stability analysis of phase plane to obtain the solution of differential equations[J]. Journal of Changchun Normal University:Natural Science, 2008, 27(3):19-21(in Chinese).
[20] 张德祥, 方斌, 高清维. 高阶非线性控制系统相平面的图解实现[J]. 系统仿真学报, 2005, 17(12):2979-2982. ZHANG D X, FANG B, GAO Q W. Graphic realization of phase plane for higher order nonlinear control systems[J]. Journal of System Simulation, 2005, 17(12):2979-2982(in Chinese).
[21] CHIANG H D. Direct method for stability analysis of electric power system[M]. Now York:Wiley Press, 2010.
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