Supersonic Flutter Analysis for Aeroelastic Multibody Systems

XU Bin; ZHANG Wen; MA Jian-min

doi:10.21656/1000-0887.370114

Volume 37 Issue 10

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XU Bin, ZHANG Wen, MA Jian-min. Supersonic Flutter Analysis for Aeroelastic Multibody Systems[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1085-1099. doi: 10.21656/1000-0887.370114

Citation:

XU Bin, ZHANG Wen, MA Jian-min. Supersonic Flutter Analysis for Aeroelastic Multibody Systems[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1085-1099. doi: 10.21656/1000-0887.370114

Citation:

XU Bin, ZHANG Wen, MA Jian-min. Supersonic Flutter Analysis for Aeroelastic Multibody Systems[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1085-1099. doi: 10.21656/1000-0887.370114

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Supersonic Flutter Analysis for Aeroelastic Multibody Systems

doi: 10.21656/1000-0887.370114

¹Shanghai Institute of Mechanical and Electrical Engineering, Shanghai 201109, P.R.China;²Department of Mechanics and Engineering Science,Fudan University, Shanghai 200433, P.R.China

Funds: The National Natural Science Foundation of China(11202052)

Received Date: 2016-04-14
Rev Recd Date: 2016-05-29
Publish Date: 2016-10-15

Abstract

Abstract

The supersonic flutter of aeroelastic multibody systems was investigated. Based on the theory of multibody dynamics and the piston theory for unsteady aerodynamic forces, the governing differential algebraic equations (DAEs) for the aeroelastic multibody system were established. The supersonic flutter analysis was conducted through solution of the eigenvalue problem in the form of DAEs to discuss the stability of the perturbed motion and the equilibrium of the multibody system. The approach was used for the supersonic flutter problems of a plate wing and a wing with control surfaces. The flutter speed of the wing was obtained with the control surfaces in different positions. The agreement between the simulation results and the experimental ones shows that, the present method has high computational accuracy, and is suitable for the flutter analysis of engineering structures consisting of multiple components.
- multibody system,
- aeroelasticity,
- differential algebraic equation,
- supersonic,
- flutter

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References(24)

References

[1]	Wasfy T M, Noor A K. Computational strategies for flexible multibody systems[J]. Applied Mechanics Review,2003,56(6): 553-613.
[2]	Theodorsen T. General theory of aerodynamic instability and the mechanism of flutter[R]. NACA Technical Report 496, 1934.
[3]	齐欢欢, 徐鉴, 方明霞. 超音速飞行器机翼颤振的时滞反馈控制[J]. 应用数学和力学, 2016,37(2): 210-218.(QI Huan-huan, XU Jian, FANG Ming-xia. Time-delayed feedback control of flutter for supersonic airfoils[J]. Applied Mathematics and Mechanics,2016,37(2): 210-218.(in Chinese))
[4]	Goland M. The flutter of a uniform cantilever wing[J]. Journal of Applied Mechanics,1945,12(4): 197-208.
[5]	Hopkins M A, Dowell E H. Limited amplitude panel flutter with a temperature differential[C]//35th Structures, Structural Dynamics, and Materials Conference.AIAA-94-1486, 1994.
[6]	张伟伟, 叶正寅. 大后掠翼前缘涡对其颤振特性的影响[J]. 航空学报, 2009,30(12): 2263-2268.(ZHANG Wei-wei, YE Zheng-yin. Effects of leading-edge vortex on flutter characteristics of high sweep angle wing[J]. Acta Aeronautica et Astronautica Sinica,2009,30(12): 2263-2268.(in Chinese))
[7]	王文亮, 杜作润. 结构振动与动态子结构方法[M]. 上海: 复旦大学出版社, 1985: 81-145.(WANG Wen-liang, DU Zuo-run. Structural Vibration and Dynamic Sub-Structure Method [M]. Shanghai: Fudan University Press, 1985: 81-145. （in Chinese）)
[8]	杨炳渊, 樊则文. 弹性飞行器气动伺服弹性耦合动力学仿真[J]. 宇航学报, 2009,30(1): 134-138.(YANG Bing-yuan, FAN Ze-wen. A numerical simulation of aeroservoelastic coupling dynamic for the elastic aircraft[J]. Journal of Astronautics,2009,30(1): 134-138.(in Chinese))
[9]	Attar P J, Tang D, Dowell E H. Nonlinear aeroelastic study for folding wing structures[J]. AIAA Journal,2010,48(10): 2187-2195.
[10]	杨宁, 吴志刚, 杨超, 曹奇凯. 折叠翼的结构非线性颤振分析[J]. 工程力学, 2012,29(2): 197-204.(YANG Ning, WU Zhi-gang, YANG Chao, CAO Qi-kai. Flutter analysis of a folding wing with structural nonlinearity[J]. Engineering Mechanics,2012,29(2): 197-204.(in Chinese))
[11]	Krüger W R, Spieck M. Aeroelastic effects inmultibody dynamics[J]. Vehicle System Dynamics,2004,41(5): 383-399.
[12]	Scarlett J N, Canfield R A, Sanders B. Multibody dynamic aeroelastic simulation of a folding wing aircraft[C]//47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference.AIAA 2006-2135, 2006.
[13]	Reich G W, Bowman J C, Sanders B, Frank G J. Development of an integrated aeroelastic multibody morphing simulation tool[C]//47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference.AIAA 2006-1892, 2006.
[14]	Mattaboni M, Masarati P, Quaranta G, Mantegazza P. Multibody simulation of integrated tiltrotor flight mechanics, aeroelasticity and control[J]. Journal of Guidance, Control, and Dynamics,2012,35(5): 1391-1405.
[15]	虞志浩, 杨卫东, 张呈林. 基于Broyden法的旋翼多体系统气动弹性分析[J]. 航空学报, 2012,33(12): 2171-2182.(YU Zhi-hao, YANG Wei-dong, ZHANG Cheng-lin. Aeroelasticity analysis of rotor multibody system based on Broyden method[J]. Acta Aeronautica et Astronautica Sinica,2012,33(12): 2171-2182.(in Chinese))
[16]	Holierhoek J G. Rigid body modeling of wind turbines for aeroelastic stability investigations[C]//45th AIAA Aerospace Sciences Meeting and Exhibit.AIAA 2007-210, 2007.
[17]	莫文威, 李德源, 夏鸿建, 吕文阁. 水平轴风力机柔性叶片多体动力学建模与动力特性分析[J]. 振动与冲击, 2013,32(22): 99-105.(MO Wen-wei, LI De-yuan, XIA Hong-jian, L Wen-ge. Multibody dynamic modeling and dynamic characteristics analysis of flexible blades for a horizontal axis wind turbine[J]. Journal of Vibration and Shock,2013,32(22): 99-105.(in Chinese))
[18]	ZHAO Zhen-jun, REN Ge-xue. Multibody dynamic approach of flight dynamics and nonlinear aeroelasticity of flexible aircraft[J]. AIAA Journal,2011,49(1): 41-54.
[19]	陆佑方. 柔性多体系统动力学[M]. 北京: 高等教育出版社, 1996: 233-273.(LU You-fang. Dynamics of Flexible Multi-Body System [M]. Beijing: Higher Education Press, 1996: 233-273.（in Chinese）)
[20]	Ashley H, Zartarian G. Piston theory, a new aerodynamic tool for the aeroelastician[J].Journal of the Aeronautical Sciences,1956,23(12): 1109-1118.
[21]	Anderson E, Bai Z, Bischof C, Blackford L S, Demmel J, Dongarra J, Du Croz J, Greenhaum A, Hammarling S, McKenney A, Sorensen D. LAPACK User’s Guide [M]. 3rd ed. Philadelphia: SIAM, 1999.
[22]	Moler C B, Stewart G W. An algorithm for generalized matrix eigenvalue problems[J]. SIAM Journal of Numerical Analysis,1973,10(2): 241-256.
[23]	Tuovila W J, McCarty J L. Experimental flutter results for cantilever-wing models[R]. NACA RM L55E11, 1955.
[24]	MSC Software Corporation.MSC Nastran Aeroelastic Analysis User’s Guide [M]. Senta Ana: MSC Software Corporation, 2010.