基于CR理论的大柔性机翼几何非线性结构建模

doi:10.7527/S1000-6893.2017.721544

Abstract

Abstract:

The large flexible wing under aerodynamic loading is subject to distinct large deformation. Therefore, the assumption of small deformation according to the classical linear theory no longer holds, and structural modeling of such wing should consider the geometrically nonlinear effect. Based on Co-Rotational (CR) theory, the geometrically nonlinear large deformation is resolved into rotation and translation of the rigid body and elastic deformation described in the local coordination system. The structural model for description of the geometrically nonlinear deformation of the large flexible wing is constructed in this paper. With the large flexible camber beam as an example, the geometric nonlinear large deformation under the moment load is studied using the increment iterated method. The static method is validated, and the effect of geometrical nonlinear deformation due to coupling load is discussed. The geometrical nonlinear large deformation of a solar Unmanned Aerial Vehicle (UAV) with the layout similar to "Helios" is also studied.

Key words: large flexible, geometrically nonlinear, CR theory, statics, large deformation

CLC Number:

V211.43

WANG Wei, DUAN Zhuoyi, GENG Jianzhong, ZHANG Jian, LI Junfu. Modelling of geometrically nonlinear structure of large flexible wing based on CR theory[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(S1): 721544-721544.

References

[1] KIRK F, BOB C. Pathfinder solar-powered aircraft flight performance: AIAA-1998-4446[R]. Reston, VA: AIAA, 1998.
[2] YOUNGBLOOD J W. Design of long endurance unmanned airplanes incorporating solar and fuel cells propulsion: AIAA-1984-1430[R]. Reston, VA: AIAA,1984.
[3] CESTINO E. Design of very long-endurance solar powered UAV[D]. Torino: Politecnico di Torino, 2006.
[4] ROMEO G, FRULLA G, CESTINO E, et al. HELIPLAT: Design, aerodynamic, structural analysis of long-endurance solar-powered stratospheric platform[J]. Journal of Aircraft, 2004, 41(6): 1505-1520.
[5] GARBE G, MONTGOMERY E E. An overview of NASA's solar sail propulsion project[C]//39th AIAA PAPER/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit. Reston, VA: AIAA, 2003.
[6] NOLL T E, BROWN J M, PEREZ-DAVIS M E, et al. Investigation of the Helios prototype aircraft mishap[R]. Hampton, VA: Langley Research Center, NASA, 2004.
[7] HANNES R. Fly around the world with a solar powered airplane: AIAA-2008-8954[R]. Reston, VA: AIAA, 2008.
[8] RAFAEL P, JOSEBA M, ROBERT C. Structural and aerodynamic models in nonlinear flight dynamics of very flexible aircraft[J]. AIAA Journal, 2010, 48(11): 2648-2659.
[9] HODGES D H, DOWELL E H. Nonlinear equations of motion for the elastic bending and torsion of twisted nonuniform rotor blades: NASA TN D-7818[R]. Washington, D.C.: NASA, 1974.
[10] HODGES D H. A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams[J]. International Journal of Solids and Structures, 1990, 26(11): 1253-1273.
[11] PATIL M J. Nonlinear aeroelastic analysis, flight dynamics and control of a complete aircraft[D]. Atlanta, GA: Georgia Institute of Technology, 1999.
[12] PATIL M J, DOWELL E H. On the importance of aerodynamic and structural geometrical nonlinearities in aeroelastic behavior of high-aspect-ratio wings: AIAA-2000-1448[R]. Reston, VA: AIAA, 2000,
[13] WEMPNER G A. Finite elements, finite rotations and small strains of flexible shells[J]. International Journal of Solid and Structures, 1969, 5(2): 117-153.
[14] BELYTSCHKO T, SCHWER L. Large displacement, transient analysis of space frames[J]. International Journal for Numerical Methods in Engineering, 1977, 11(1): 65-84.
[15] BELYTSCHKO T, HSEIH B J. Nonlinear transient finite element analysis with convected coordinates[J]. International Journal for Numerical Methods in Engineering, 1973, 7(9): 255-271.
[16] BELYTSCHKO T, GLAUM L W. Application of higher order corotational stretch theories to nonlinear finite elements analysis[J]. Computers and Structures, 1979, 10(1): 175-182.
[17] CRISFIELD M A, GALVANETTO U, JELENIC G. Dynamics of 3-D co-rotational beams[J]. Computational Mechanics, 1997, 20(6): 507-519.
[18] CRISFIELD M A. Nonlinear finite element analysis of solid and structures, Volume 2[M]. New York: John Wiley & Sons, 1997.
[19] 吕和祥,朱菊芬,马莉颖. 大转动梁的几何非线性分析讨论[J]. 计算结构力学及应用, 1995, 12(4): 485-490. LV H X, ZHU J F, MA L Y. Geometrically nonlinearity analysis of large rotation beams[J]. Compute Structural Mechanical and Application, 1995, 12(4): 485-490 (in Chinese).
[20] 蔡松柏, 沈蒲生. 大转动平面梁有限元分析的共旋转坐标法[J].工程力学, 2006, 23(增刊1): 69-72. CAI S B, SHEN P S. CR approach for finite element analysis of 2-D beams with large rotation[J]. Engineering Mechanics,2006, 23(supplement 1): 69-72 (in Chinese).

Modelling of geometrically nonlinear structure of large flexible wing based on CR theory

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 11

Recommended Articles

Metrics

Comments

[1]	WU Yunli, ZHAO Tianyi, ZUO Huaping, MENG Bin. Orbit and attitude control design for film solar sailcrafts on geosynchronous orbit [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(S2): 724291-724291.
[2]	AN Xiaomin, XU Wei, XU Min. Analysis of nonlinear panel flutter [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(4): 1119-1127.
[3]	YIN Yibing, ZUO Hongfu, WEN Zhenhua, CAI Jing, FU Yu. Electrostatic induction characteristics of aeroengine inhaled particles: simulated experiment and analysis [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(2): 691-702.
[4]	CHU Zhongyi, ZHOU Miao, HU Jian, LU Shan. Gripping Mode Analysis of an Active-Passive Composited Driving Self-adaptive Gripper Mechanism [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(12): 3451-3458.
[5]	SUN Jianzhong, ZUO Hongfu, ZHAN Zhijuan, LIU Pengpeng. Analysis of Factors Influencing the Exhaust Gas Electrostatic Monitoring Signals of a Turbo-shaft Engine [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012, (3): 412-420.
[6]	CHEN Zhixiong, ZUO Hongfu, ZHAN Zhijuan, ZHANG Ying, CAI Jing. Study of Oil System Oil-line Debris Electrostatic Monitoring Technology [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012, (3): 446-452.
[7]	Li Yaohua;Zuo Hongfu. Method for Rub Fault Detection Based on Electrostatic Technique: Model and Simulated Experiments [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2010, 31(6): 1156-1163.
[8]	Li Yaohua;Zuo Hongfu;Liu Pengpeng. Gas Path Electrostatic Monitoring of Turbo-shaft Engine: an Exploratory Experiment [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2010, 31(11): 2174-2181.
[9]	Ye Nan;Zhang Liyan. 基于立体视觉的板料成形极限应变测量关键技术及其系统 [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2010, 31(10): 2093-2102.
[10]	Li Jun-jie;Yang Jin-yao. REFINEMENT OF STRUCTURAL STATICAL MATHEMATICAL MODEL [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1993, 14(2): 13-18.
[11]	Shao Chengxun;Zhang Jiazhong;Wang Fei;Zhu Qingrui . THE DYNAMICAL EQUATIONS OF A MULTIBODY CHAIN [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1988, 9(11): 558-564.