Journal of Guangxi Normal University(Natural Science Edition) ›› 2020, Vol. 38 ›› Issue (5): 34-41.doi: 10.16088/j.issn.1001-6600.2020.05.004

Previous Articles     Next Articles

Random Response of Rolling Motion of Delta Wing Aircraft under External and Parametric Excitations

JIAO Mengqian1, PENG Ruyue1, HUANG Wentao2, JIANG Guirong1*   

  1. 1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin Guangxi 541004, China;
    2. College of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541006, China
  • Received:2019-07-19 Online:2020-09-25 Published:2020-10-09

PDF (PC)

372

Abstract: Rolling motion dominates the lateral stability of the aircraft. In order to study the random response of the delta wing’s rolling motion under random excitation, external and parametric excitations are added to a more complex rolling model. The approximate probability density of the system is obtained by the dissipative energy balance method, the amplitude envelope random average method and the energy envelope random average method. The accuracy of the three methods is compared by numerical simulations.

Key words: delta wing aircraft, rolling motion, Gaussian white noise, stochastic average method, FPK equation

CLC Number: 

  • O324
[1] KONSTADINOPOULOS P, MOOK D T, NAYFEH A H. Subsonic wing rock of slender delta wings[J]. Journal of Aircraft, 1985, 22(3): 223-228. DOI: 10.2514/3.45111.
[2] ELZEBDA J M, NAYFEH A H. MOOK D T, Development of an analytical model of wing rock for slender delta wings[J]. Journal of Aircraft, 1989, 26(8): 737-743. DOI: 10.2514/3.45833.
[3] 刘伟, 张涵信. 机翼自由滚转运动的Hopf分岔及数值模拟[C] //全国航空航天领域中的力学问题学术研讨会论文集. 北京: 中国力学学会, 2006: 110-115.
[4] 朱位秋. 非线性随机动力学与控制[M]. 北京: 科学出版社, 2003.
[5] ZHU W Q, HUANG Z L, SUZUKI Y. Response and stability of strongly non-linear oscillators under wide-band random excitation[J]. International Journal of Non-Linear Mechanics, 2001, 36(8): 1235-1250. DOI: 10.1016/S0020-7462(00)00093-7.
[6] 黄志龙, 金肖玲. Gauss白噪声激励具时滞反馈控制的单自由度强线性系统响应的瞬态概率密度[C] //中国力学学会2009学术大会论文集. 北京: 中国力学学会, 2010: 1-18.
[7] MILES R N. An approximate solution for the spectral response of Duffing’s oscillator with random input[J]. Journal of Sound and Vibration, 1989, 132(1): 43-49. DOI: 10.1016/0022-460X(89)90869-9.
[8] 黄开娇, 肖飞雁. 一类带Lévy噪声的随机捕食—被捕食系统[J]. 广西师范大学学报(自然科学版), 2017, 35(2): 66-72. DOI: 10.16088/j.issn.1001-6600.2017.02.010.
[9] 仲淑娟, 王坤, 吴海花. 谐和与随机噪声激励下一类非线性系统的响应[J]. 辽宁工程技术大学学报(自然科学版), 2011, 30(6): 943-946.
[10] FYODOROV Y V. A spin glass model for reconstructing nonlinearly encrypted signals corrupted by noise[J]. Journal of Statistical Physics, 2019, 175(5): 789-818. DOI: 10.1007/s10955-018-02217-9.
[11] MA H T, QIAN Z B, LI Y, et al. Noise reduction for desert seismic data using spectral kurtosis adaptive bandpass filter[J]. Acta Geophysica, 2019, 67(1): 123-131. DOI: 10.1007/s11600-018-0232-0.
[12] EVANS C, BANISSYY M J, CHARLTON R A. The efficacy of transcranial random noise stimulation (tRNS) on mood may depend on individual differences including age and trait mood[J]. Clinical Neurophysiology, 2018, 129(6): 1201-1208. DOI: 10.1016/j.clinph.2018.03.012.
[13] 谭建国, 王洪礼, 葛根, 等. 二元机翼模型在随机参数激励下的首次穿越问题[J]. 天津大学学报(自然科学与工程技术版), 2009, 42(7): 581-585. DOI: 10.3969/j.issn.0493-2137.2009.07.003.
[14] 葛根, 王洪礼, 许佳. 矩形薄板在面内随机参数激励下的随机稳定性与分岔研究[J]. 振动与冲击, 2009, 28(9): 91-94. DOI: 10.3969/j.issn.1000-3835.2009.09.020.
[15] 覃英华, 罗晓曙. 随机噪声引发复杂电力网络电压崩溃[J]. 广西师范大学学报(自然科学版), 2008,26(4): 6-9. DOI: 10.3969/j.issn.1001-6600.2008.04.002.
[16] ROBERTS J B, SPANOS P D. Stochastic averaging: an approximate method of solving random vibration problems[J]. International Journal of Non-Linear Mechanics, 1986, 21(2): 111-134. DOI: 10.1016/0020-7462(86)90025-9.
[17] 朱位秋, 蔡国强. 随机动力学引论[M]. 北京: 科学出版社, 2017.
No related articles found!
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] PANG Lin-na, QIU Yan-yan, LU Jia-kuan. On Some Sufficent Conditions of p-Nilpotency of Finite Groups[J]. Journal of Guangxi Normal University(Natural Science Edition), 2014, 32(2): 64 -66 .
[2] XU Lunhui, CHEN Kaixun. Prediction of Road Network Speed Distribution Based on BP Neural Network Optimization by Improved Firefly Algorithm[J]. Journal of Guangxi Normal University(Natural Science Edition), 2019, 37(2): 1 -8 .
[3] LI Zhaomei, LI Wenlin, MENG Anxin, ZHAO Zhenchi, QIN Yongfu, LAN Haihui, LU Huijin, CHEN Lisha, LIANG Weigang, SHEN Hongtao. Study of 14C-AMS in Dating of the Ancient Painting[J]. Journal of Guangxi Normal University(Natural Science Edition), 2019, 37(2): 38 -43 .
[4] XU Tingting, YU Qiuping, QI Peiyi, LIU Kehui, LI Yi, JIANG Yongrong, YU Fangming. Effects of Different Washing Solutions on the Desorption of Heavy Metals from a Lead-zinc Mine Soil[J]. Journal of Guangxi Normal University(Natural Science Edition), 2019, 37(2): 188 -193 .
[5] HAN Bowen. Demand Responsive Transit Scheduling Method Considering Real-time Demand[J]. Journal of Guangxi Normal University(Natural Science Edition), 2019, 37(3): 9 -20 .
[6] WU Juan, ZHU Hongyang, MEI Ping, CHEN Wu, LI Zhongbao. Polymethyl Methacrylate Modified Nano-Silica and Its Stabilizing Effect on Pickering Emulsion[J]. Journal of Guangxi Normal University(Natural Science Edition), 2019, 37(3): 120 -131 .
[7] DU Xuesong,LIN Yong,LIANG Guokun,HUANG Yin,BIN Shiyu, CHEN Zhong,QIN Junqi,ZHAO Yi. Comparison of Low Temperature Resistant Performance between Two Tilapia[J]. Journal of Guangxi Normal University(Natural Science Edition), 2019, 37(3): 174 -179 .
[8] LI Feiyu, WENG Xiaoxiong, YAO Shushen. Research on the Scaling Law Based on the Travel Time Interval of Passengers’ Group[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(1): 1 -9 .
[9] XIANG Qinqin, LIAO Zhixian, LI Tinghui, JIANG Pinqun, HUANG Guoxian. Research on Modeling and Control of Photovoltaic Microgrid Inverter under Random Disturbance of Power Grid[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(1): 19 -25 .
[10] ZHAO Xin , SONG Yingqiang, HU Yueming, LIU Yilun, ZHU Axing. Optimizing Spatial Distribution of Residential Areas by Using Multi-Source Open Data[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(1): 26 -40 .
Copyright © Journal of Guangxi Normal University(Natural Science Edition), All Rights Reserved.
Tel: 0773-5857325　E-mail: gxsdzkb@mailbox.gxnu.edu.cn
Powered by Beijing Magtech Co. Ltd