A structural analysis model of the wing based on its physical characteristics is required for evaluating the influence of structure variations on the mechanics and aeroelasticity of the wing in the preliminary stage of wing design. Based on the relevant research on modeling the typical components of a multi-lattice missile wing which is comprised of spar/rib webs and skin. The modeling capability of equivalent plate model is developed to simulate caps and rods which are common in aircraft wings. Stiffness values of springs used to simulate the boundary conditions are discussed in detail, and the reasonable selection range is suggested. Some typical numerical results are presented from application of the model to the static analysis, dynamic analysis, static aeroelasticity and flutter analysis of a wing-box and a wing. Comparison of these results with the corresponding results from a finite element analysis indicates that good agreement is obtained, but the equivalent plate analysis is more efficient. The equivalent plate model can be used as an efficient model for quick analysis in the early design stage of lifting surfaces.
YANG Youxu, WU Zhigang, YANG Chao, PAN Deng
. An Aeroelasticity Analysis Model Oriented Toward Wing Design[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2011
, 32(10)
: 1860
-1868
.
DOI: CNKI:11-1929/V.20110509.1157.005
[1] Giles G L. Equivalent plate analysis of aircraft wing box structures with general planform geometry[J]. Journal of Aircraft, 1986, 23(11): 859-864.
[2] Giles G L. Further generalization of an equivalent plate representation for aircraft structural analysis[J]. Journal of Aircraft, 1989, 26(1): 67-74.
[3] Livne E. Equivalent plate structural modeling for wing shape optimization including transverse shear[J]. AIAA Journal, 1994, 32(6): 1278-1288.
[4] Livne E, Navarro I. Nonlinear equivalent plate modeling of wing-box structures[J]. Journal of Aircraft, 1999, 36(5): 851-865.
[5] Livne E, Schmit L A, Friedmann P P. Towards integra-ted multidisciplinary synthesis of actively controlled fiber composite wings[J]. Journal of Aircraft, 1990, 27(12): 979-992.
[6] Livne E, Schmit L A, Friedmann P P. Exploratory design studies using an integrated multidisciplinary synthesis capability for actively controlled composite wings[J]. AIAA Journal, 1992, 30(5): 1171-1179.
[7] Livne E, Sels R A, Bhatia K G. Lessons learned from application of equivalent plate structural modeling to an HSCT wing[J]. Journal of Aircraft, 1994, 31(4): 953-960.
[8] Sexstone M G. Aircraft structural mass property prediction using conceptual-level structural analysis. NASA-TM-208129, 1998.
[9] Ameri N, Livne E, Lowenberg M H, et al. Modeling continuously morphing aircraft for flight control. AIAA-2008-6966, 2008.
[10] 杨佑绪, 吴志刚, 杨超. 基于等效板模型的弹翼颤振分析[J]. 航空学报, 2011, 32(5): 833-840. Yang Youxu, Wu Zhigang, Yang Chao. Flutter analyses of missile wing using equivalent plate model[J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(5): 833-840. (in Chinese)
[11] Reissner E. The effect of transverse shear deformation on the bending of elastic plates[J]. Journal of Appplied Mechanics, 1945(12): 69-77.
[12] Mindlin R D. Influence of rotatory interia and shear on flexural motions of isotropic, elastic plates[J]. Journal of Applied Machanics, 1951(18): 31-38.
[13] 刘鸿文. 材料力学[M]. 北京: 高等教育出版社, 2004: 212-261. Liu Hongwen. Machanics of materials[M]. Beijing: Higher Education Press, 2004: 212-261. (in Chinese)
[14] Karpel M, Sheena Z. Structural optimization for aeroelastic control effectiveness[J]. Journal of Aircraft, 1989, 26(5): 493-495.
[15] Karpel M, Moulin B, Love M H. Modal-based structural optimization with static aeroelastic and stress constraints[J]. Journal of Aircraft, 1997, 34(4): 433-440.
[16] Chen P C, Liu D D. Unsteady supersonic computation of arbitrary wing-body configurations including external stores[J]. Journal of Aircraft, 1990, 27(2): 108-116.
[17] Chen P C, Lee H W, Liu D D. Unsteady subsonic aerodynamics for bodies and wings with external stores including wake effect[J]. Journal of Aircraft, 1993, 30(5): 618-628.
[18] Chen P C. Damping perturbation method for flutter solution: the g-method[J]. AIAA Journal, 2000, 38(9): 1519-1524.
[19] Wang C M, Reddy J N, Lee K H. Shear deformable beams and plates: relationships with classical plates[M]. Amsterdam: Elsevier Science Ltd., 2000: 89-109.