基于分层思路的动态非线性气动力建模方法

doi:10.7527/S1000-6893.2015.0088

Abstract

Abstract:

It is found that many nonlinear aerodynamic models cannot accurately predict linear characteristics under small disturbances. Based on the above limitation, a nonlinear layered model for identifying transonic nonlinear unsteady aerodynamic forces is presented. Layered modeling process needs training samples of both small and large amplitude oscillations. Firstly, the linear model (autoregressive with exogenous input, ARX) is constructed with small amplitude maneuver and the nonlinear model (radial basis function neural network, RBFNN) is constructed with a deviation of a large amplitude maneuver and linear model samples. Then the superposition is done with the outputs of both linear and nonlinear model. Finally the layered, nonlinear dynamic model is obtained. Results show that the layered aerodynamic model has higher numerical accuracy than the autoregressive RBF (AR-RBF) neural network model. The layered model has the ability of predicting large amplitude maneuvers. For small disturbance, layered model is transformed into linear model automatically and can precisely describe the linear dynamic characteristics of small amplitude oscillation.

Key words: layered model, autoregressive with exogenous input, radial basis function networks, unsteady aerodynamic, transonic flow

CLC Number:

V211.1⁺5

KOU Jiaqing, ZHANG Weiwei, YE Zhengyin. Dynamic nonlinear aerodynamics modeling method based on layered model[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(12): 3785-3797.

References

[1] Zhang W W, Ye Z Y. On unsteady aerodynamic modeling based on CFD technique and its applications on aeroelastic analysis[J]. Advances in Mechanics, 2008, 38(1):77-86(in Chinese).张伟伟,叶正寅.基于CFD的气动力建模及其在气动弹性中的应用[J].力学进展, 2008, 38(1):77-86.
[2] Dowell E H, Hall K C. Modeling of fluid structure interaction[J]. Annual Review of Fluid Mechanics, 2001, 33(1):445-490.
[3] Ghoreyshi M, Jirasek A, Cummings R M. Reduced order unsteady aerodynamic modeling for stability and control analysis using computational fluid dynamics[J]. Progress in Aerospace Sciences, 2014, 71(1):167-217.
[4] Chen G, Li Y M. Advances and prospects of the reduced order model for unsteady flow and its application[J]. Advances in Mechanics, 2011, 41(6):686-700(in Chinese).陈刚,李跃明.非定常流场降阶模型及应用研究进展与展望[J].力学进展, 2011, 41(6):686-700.
[5] Cai J S. System identification of aircraft[M]. Beijing:National Defense Industry Press, 2003:1-10(in Chinese).蔡金狮.飞行器系统辨识学[M].北京:国防工业出版社,2003:1-10.
[6] Huang D, Tan J Z. Experiment about aircraft motion in large amplitude and aerodynamic modeling[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2010, 42(4):407-410(in Chinese).黄达,谈佳桢.飞行器大振幅运动实验与气动力建模[J].南京航空航天大学学报, 2010, 42(4):407-410.
[7] Sun H S, Zhang H Y, Liu Z T. Comparative evaluation of unsteady aerodynamics modeling approaches at high angle of attack[J]. Acta Aerodynamica Sincia, 2011, 29(6):733-737(in Chinese).孙海生,张海酉,刘志涛.大迎角非定常气动力建模方法研究[J].空气动力学学报, 2011, 29(6):733-737.
[8] Hall K C, Thomas J P, Dowell E H. Reduced-order modeling of unsteady small-disturbance flows using a frequency-domain proper orthogonal decomposition technique, AIAA-1999-0655[R]. Reston:AIAA, 1999.
[9] Yang C, Liu X Y, Wu Z G. Unsteady aerodynamic modeling based on POD-observer method[J]. SCIENCE CHINA Technological Sciences, 2010, 40(8):861-866(in Chinese).杨超,刘晓燕,吴志刚.基于POD-observer技术的非定常气动力建模方法[J].中国科学:技术科学, 2010, 40(8):861-866.
[10] Chen G, Xu M, Chen S L. Reduced-order model based on Volterra series in nonlinear unsteady aerodynamics[J]. Journal of Astronautics, 2004, 25(5):492-495(in Chinese).陈刚,徐敏,陈士橹.基于Volterra级数的非线性非定常气动力降阶模型[J].宇航学报, 2004, 25(5):492-495.
[11] Wang B B, Zhang W W, Ye Z Y. On Unsteady nonlinear aerodynamics identification with neural network[J]. Acta Aeronautica et Astronautica Sinica, 2010, 31(7):1379-1387(in Chinese).王博斌,张伟伟,叶正寅.基于神经网络模型的动态非线性气动力辨识方法[J].航空学报, 2010, 31(7):1379-1387.
[12] Gan X S, Duanmu J S, Meng Y B, et al. Aerodynamic modeling from flight data based on WNN optimized by particle swarm[J]. Acta Aeronautica et Astronautica Sinica, 2012, 33(7):1209-1217(in Chinese).甘旭升,端木京顺,孟月波,等.基于粒子群优化的WNN飞行数据气动力建模[J].航空学报, 2012, 33(7):1209-1217.
[13] Zhang W W, Ye Z Y, Numerical simulation of aeroelasticity basting on identification technology of unsteady aerodynamic loads[J]. Acta Aeronautica et Astronautica Sinica, 2006, 27(4):579-583(in Chinese).张伟伟,叶正寅.基于非定常气动力辨识技术的气动弹性数值模拟[J].航空学报, 2006, 27(4):579-583.
[14] Thomas J P, Hall K C, Dowell E H. A harmonic balance approach for modeling nonlinear aeroelastic behavior of wings in transonic viscous flow, AIAA-2003-1924[R]. Reston:AIAA, 2003.
[15] Zhang W W, Wang B B, Ye Z Y, et al. Efficient method for limit cycle flutter analysis by nonlinear aerodynamic reduced-order models[J]. AIAA Journal, 2012, 50(5):1019-1028.
[16] Marques F D, Anderson J. Identification and prediction of unsteady transonic aerodynamic loads by multi-layer functions[J]. Journal of Fluids and Structures, 2001, 15(1):83-106.
[17] Ghoreyshi M, Jirasek A, Cummings R M. Computational approximation of nonlinear unsteady aerodynamics using an aerodynamic model hierarrchy[J]. Aerospace Science and Technology, 2013, 28(1):133-144.
[18] Lindhorst K, Haupt M C, Horst P. Efficient surrogate modelling of nonlinear aerodynamics in aerostructural coupling schemes[J]. AIAA Journal, 2014, 52(9):1952-1966.
[19] Linse D J, Strengel R F. Identification of aerodynamic coefficients using computational neural networks[J]. Journal of Guidance, Control, and Dynamics, 1993, 16(6):1018-1025.
[20] Faller W E, Schreck S J. Neural networks:applications and opportunities in aeronautics[J]. Progress in Aerospace Sciences, 1996, 32(1):433-456.
[21] Zhang W W. Efficient analysis for aeroelasticity based on computational fluid dynamics[D]. Xi'an:Northwestern Polytechnical University, 2006(in Chinese).张伟伟.基于CFD技术的高效气动弹性分析方法研究[D].西安:西北工业大学, 2006.
[22] Dowell E H, Ilgamov M. Studies in nonlinear aeroelasticity[M]. New York:Springer, 1988:212-222.

Dynamic nonlinear aerodynamics modeling method based on layered model

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Guiwei ZHANG, Zhaoqing LIU, Lei ZHU, Heng ZHANG, Wei TIAN, Weiguang LI, Zhichun YANG. Research progress of ground flutter simulation test technology [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(10): 29229-029229.
[2]	Huailu LI, Xu WANG, Xiao WANG, Tong ZHAO, Weiwei ZHANG. Aerodynamic modeling and flight simulation of maneuver flight at high angle of attack [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(19): 128410-128410.
[3]	Libo WANG, Zhiwei JING, Chu TANG. Modelling and simulation of flexible aircraft in blast wind [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(17): 228214-228214.
[4]	WANG Yanling, BU Chen, YANG Wen, SHEN Yanjie, FENG Shuai. State-space representation of aerodynamica of flying wing with low aspect ratio at high angles of attack [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(7): 124539-124539.
[5]	CHEN Zhiqiang, LIU Zhanhe, MIAO Nan, FENG Wei. Parametric reduced-order model of unsteady aerodynamics based on incremental learning algorithm [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(7): 125103-125103.
[6]	CHEN Senlin, GAO Zhenghong, ZHU Xinqi, PANG Chao, DU Yiming, CHEN Shusheng. Unsteady aerodynamic modeling of unstable dynamic process [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(8): 123675-123675.
[7]	CEN Fei, LI Qing, LIU Zhitao, JIANG Yong, ZHANG Lei. Unsteady aerodynamics test and modeling of civil aircraft under extreme flight conditions [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(8): 123664-123664.
[8]	SHEN Lin, HUANG Da, WU Genxing, ZHAN Jingxia. Unsteady aerodynamic modeling for fighter configuration at high angles of attack [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(6): 523440-523440.
[9]	GAO Chuanqiang, ZHANG Weiwei. Numerical simulation and modal analysis of transonic buffet flow over wings [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(7): 122597-122597.
[10]	ZHAO Zhongliang, YANG Haiyong, MA Shang, JIANG Minghua, LIU Weiliang, LI Yuping, WANG Xiaobing, LI Qian. Unsteady aerodynamic characteristics of two-degree-of-freedom pitch/roll coupled motion for a typical vehicle model [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(12): 122375-122375.
[11]	LI Xu, ZHU Xiaoping, ZHOU Zhou, GUO Jiahao. Numerical simulation of flow field during landing for carrier-based aircraft near a moving base [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(12): 122131-122131.
[12]	WANG Ziyi, ZHANG Weiwei. Unsteady aerodynamic reduced-order modeling method for parameter changeable structure [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(6): 220829-220829.
[13]	WANG Gang, XING Yu, ZHU Ya'nan. Aerodynamic modeling and flight trajectory simulation of spinning projectile [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(1): 120169-120169.
[14]	KOU Jiaqing, ZHANG Weiwei, GAO Chuanqiang. Modal analysis of transonic buffet based on POD and DMD method [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(9): 2679-2689.
[15]	WANG Qing, QIAN Weiqi, DING Di. A review of unsteady aerodynamic modeling of aircrafts at high angles of attack [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(8): 2331-2347.