Nonlinear aeroelastic stability analysis based on CFD reduced order models

PDF(2544 KB)

Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (16) : 17-23.

Zhou Qiang，Chen Gang，Li Yueming

Author information +

History +

Abstract

In order to quickly find the flutter boundary of a nonlinear aeroelstic system based on CFD/CSD. This paper use Lyapunov stability theory to analyses the stability of nonlinear fluid-structure coupling system. Firstly, through a small perturbation theory, a linearized state space model is obtained based on nonlinear fluid-structure coupling system; then a reduced order model is got by reduce the high dimensional linearized model through a POD (proper orthogonal decomposition) method. According to all the eigenvalues of the ROM system, the stability of the original nonlinear system can be determined. Lyapunov stability theory is mainly aimed at the nonlinear system, and the POD method is adopted to realize the process. Different from other stability methods, the mathematical theory is reflect the stability of the original nonlinear fluid-structure coupling system. As the POD/ROM used in this paper is based on the CFD fluid field, so it can better reflect the internal characteristics of the original nonlinear coupling system. Numerical cases including two dimensional aerofoil and three dimensional wing’s models are tested to validate the accuracy of the stability method. The results show that in subsonic domain, the stability is determined by structural model; But in transonic and supersonic domain, the aeroelastic stability is mainly effected by fluid characteristic.

Key words

Fluid-structure interaction / Lyapunov / POD / state-space / flutter

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

Zhou Qiang，Chen Gang，Li Yueming. Nonlinear aeroelastic stability analysis based on CFD reduced order models[J]. Journal of Vibration and Shock, 2016, 35(16): 17-23

References

[1] 杨国伟. 计算气动弹性若干研究进展[J]. 力学进展, 2009, 39 (4): 406-420.
Yang Guo-wei. Recent progress on computational aeroelasticity[J]. Advances in Mechanics, 2009, 39 (4): 406-420.
[2] 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): 686-701.
Chen Gang, LI Yue-ming. Advances and prospects of the reduced order model for unsteady flow and its application[J]. Advances in Mechanics, 2011, 41 (6): 686-701.
[3] Silva WA, E BR. Development of reduced-order models for aeroelastic analysis and flutter prediction using the CFL3Dv6.0 code[J]. Journal of Fluids and Structures, 2004, 19 (6): 729-745.
[4] 刘晓燕，杨超，吴志刚. 适用于气动弹性的小波非定常气动力降阶方法[J]. 航空学报, 2010, 6 (31): 1149-1155.
Liu Xiao-yan, Yang Chao, Wu Zhi-gang. Wavelet-based Reduced-order Method for Unsteady Aerodynamics Applicale to Aeroelasticity[J]. Acta Astronautica Sinica, 2010, 6 (31): 1149-1155.
[5] 聂雪媛，刘中玉，杨国伟. 基于CFD气动力辨识模型的气动弹性数值计算[J]. 振动与冲击, 2014, 33 (20): 20-25.
Nie Xue-yuan, LIU Zhong-yu, Yang Guo-wei. Identification of unsteady model CFD-based for aeroelastic numerical computation [J]. Journal of Vibration and Shock, 2014, 33 (20): 20-25.
[6] Raveh DE, Zaide A. Numerical simulation and reduced-order modeling of airfoil gust response[J]. AIAA journal, 2006, 44 (8): 1826-1834.
[7] Huang R, Hu H, Zhao Y. Nonlinear Reduced-Order Modeling for Multiple-Input/Multiple-Output Aerodynamic Systems[J]. AIAA journal, 2014, 52 (6): 1219-1231.
[8] Badcock KJ, Sebastian T, Simao M, et al. Transonic aeroelastic simulation for instability searches and uncertainty analysis[J]. Progress in Aerospace Sciences, 2011, 47 (5): 392-423.
[9] Dowell E H, Hall K C, Romanowski M C. Eigenmode analysis in unsteady aerodynamics: reduced order models[J]. Applied Mechanics Reviews, 1997, 50(6): 371-386..
[10] Willcox K, Peraire J. Balanced model reduction via the proper orthogonal decomposition[J]. AIAA journal, 2002, 40 (11): 2323-2330.
[11] Epureanu B. A parametric analysis of reduced order models of viscous flows in turbomachinery[J]. Journal of Fluids and Structures, 2003, 17 (7): 971-982.
[12] Amsallem D, Farhat C. Interpolation method for adapting reduced-order models and application to aeroelasticity[J]. AIAA journal, 2008, 46 (7): 1803-1813.
[13] Chen G, Sun J, Li Y-M. Adaptive reduced-order model-based control-law design for active flutter suppression[J]. Journal of Aircraft, 2012, 49 (4): 973-980.
[14] 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.
ZHANG Wei-wei, YE Zheng-yin. Numerical Simulation of Aeroelasticity Basing on Indentification Technology of Unsteady Aerodynamic Loads[J]. Acta Astronautica Sinica, 2006, 27 (4): 579-583.
[15] 陈刚，李跃明，闫桂荣等. 基于POD降阶模型的气动弹性快速预测方法研究[J]. 宇航学报, 2009, 30 (5): 1765-1770.
Chen Gang, Li Yue-ming, Yan Gui-rong, et al. A Fast Aeroelastic Response Prediction Method Based on Proper Orthogonal Decomposition Reduced Order Model[J]. Journal of astronautics, 2009, 30(5): 1765-1770.
[16] Lieu T, Farhat C, Lesoinne M. Pod-based aeroelastic analysis of a complete f-16 conguration: Rom adaptation and demonstration[C]. 46th AIAA/ASME/ACSE/AHS/ ASC Structure, Structural Dynamics & Materials conference: Austin.Texa, 2005.
[17] Lesoinne M, Sarkis M, Hetmaniuk U, et al. A linearized method for the frequency analysis of three-dimensional fluid/structure interaction problems in all flow regimes[J]. Computer Methods in Applied Mechanics and Engineering, 2001, 190 (24): 3121-3146.
[18] Feng L, Cai J, Zhu Y, et al. Calculation of wing flutter by a coupled fluid-structure method[J]. Journal of Aircraft, 2001, 38 (2): 334-342.
[19] Alonso J, Jameson A. FuIIy-ImpIicit Time-Marching Aeroelastic Solutions[C]. 32th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper, 1994.
[20] Carson Y E. Agard standard aeroelastic configurations for dynamic response I-wing 445.6[C].AGARD-R-756,1988.
[21] 周强, 陈刚, 李跃明. 复杂外形飞行器跨音速气动弹性CFD/CSD耦合数值模拟研究[C]. 第十三届全国空气弹性学术交流会会议: 中国，哈尔滨, 2013.
Zhou qiang, Chen Gang, Li Yue-ming. Numerical simulation for transonic complex aircraft based on CFD/CSD coupling[C]. The 13th National Symposium conference on aeroelasticity. Harbin, china, 2013.