Applications and developments of aeroelasticity of flexible structure in flow controls

ZHANG Jiazhong; LIU Yan; SUN Xu; CHEN Jiahui; WANG Le

doi:10.6052/1000-0992-16-034

Volume 48 Issue 1

Feb. 2018

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ZHANG Jiazhong, LIU Yan, SUN Xu, CHEN Jiahui, WANG Le. Applications and developments of aeroelasticity of flexible structure in flow controls[J]. Advances in Mechanics, 2018, 48(1): 1806. doi: 10.6052/1000-0992-16-034

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ZHANG Jiazhong, LIU Yan, SUN Xu, CHEN Jiahui, WANG Le. Applications and developments of aeroelasticity of flexible structure in flow controls[J]. Advances in Mechanics, 2018, 48(1): 1806. doi: 10.6052/1000-0992-16-034

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Applications and developments of aeroelasticity of flexible structure in flow controls

doi: 10.6052/1000-0992-16-034

1School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China
2 School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China
3 School of Mechanical and Transportation Engineering,University of Petroleum-Beijing, Beijing 1002249, China

Received Date: 2016-10-25
Publish Date: 2018-02-08

Abstract

Abstract

There exists a very rich variety of distinctive properties which are relevant to unsteady, nonlinear flows and structural dynamics, as the flexible structures and fluids are coupled dynamically. If the aeroelastic effects are controlled and utilized properly, the aerodynamic performances and self-adaptability of aircraft wings and wind turbine blades could be improved significantly. In this paper, the progress and major challenges in aeroelasticity and its applications in flow control are reviewed, and three main directions, including the aerodynamic characteristics of the membrane wing, the drag reduction technique using flexible wall and the Sinha disturbers, are discussed in detail. In particular, the relevant studies including the experimental techniques, the numerical methods for fluid-structure interactions and theoretical methods such as nonlinear dynamics, Lagrangian coherent structure are summarized, and the great potential of the aeroelasticity in flow control and its academic values are emphasized, in order to pave the way for the researchers who are engaged in this field.
- aeroelasticity,
- flow control,
- membrane wing,
- flexible wall,
- Lagrangian coherent structure

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References(101)

References

[1]	陈桂彬, 邹丛青, 杨超. 2004. 气动弹性设计基础. 北京:北京航空航天大学出版社 (Chen G B, Zou C Q, Yang C.2004. Design Fundamentals of Aeroelasticity. Beijing: Beihang University Press).
[2]	康伟, 张家忠. 2011. 翼型局部弹性自激振动的增升减阻效应研究. 西安交通大学学报, 45: 94-101 (Kang W, Zhang J Z.2011. Numerical analysis of lift enhancement and drag reduction by self-induced vibration of localized elastic airfoil. Journal of Xi'an Jiaotong University, 45: 94-101).
[3]	康伟, 张家忠, 李凯伦. 2011. 利用本征正交分解的非线性Galerkin 降维方法. 西安交通大学学报, 45: 58-62 (Kang W, Zhang J Z, Li K L.2011. Nonlinear Galerkin method for dimension reduction using proper orthogonal decomposition. Journal of Xi'an Jiaotong University, 45: 58-62).
[4]	李凯伦, 张家忠, 周振堂. 2011. 传热时间迟滞影响的薄板热气动弹性耦合振荡模型. 航空动力学报, 26: 1-8 (Li K L, Zhang J Z, Zhou Z T.2011. Aerothermoelastic coupling dynamic model of panel flutter with time delay of heat transfer. Journal of Aerospace Power, 26: 1-8).
[5]	雷鹏飞, 张家忠, 孙旭, 康伟, 苏哲. 2008. 机翼绕流边界层分离的分岔特性研究//第八届全国动力学与控制学术会议, 哈尔滨 (Lei P F, Zhang J Z, Sun X, Kang W, Su Z.2008. Bifurcation in the separation flow near the wall of wing//The 8th National Conference on Dynamics & Control, Harbin).
[6]	雷鹏飞, 张家忠, 陈嘉辉. 2012.局部弹性翼型非定常分离的动力学特性. 力学学报, 44: 13-22 (Lei P F, Zhang J Z, Chen J H.2012. Unsteady separation of flow around airfoil with local elastic structure. Chinese Journal of Theoretical and Applied Mechanics,44: 13-22 ).
[7]	梅冠华, 张家忠. 2011. 时滞惯性流形在三维壁板颤振数值分析中的应用. 西安交通大学学报, 45: 40-45 (Mei G H, Zhang J Z.2011. Numerical analysis of 3-D panel flutter by inertial manifolds with delay. Journal of Xi'an Jiaotong University, 45: 40-45).
[8]	孙旭, 张家忠, 周志宏, 徐忠. 2010.不可压黏性流动的CBS有限元解法. 计算力学学报, 27: 862-867 (Sun X, Zhang J Z. Zhou Z H, Xu Z.2010. On the application of the CBS finite element method to the incompressible flow. Chinese Journal of Computational Mechanics, 27: 862-867).
[9]	孙旭, 张家忠. 2011. 具有运动边界不可压缩黏性流动的CBS有限元解法. 西安交通大学学报, 45: 97-104 (Sun X, Zhang J Z.2011. A characteristic based Split-FEM scheme for incompressible viscous flow with moving boundaries. Journal of Xi'an Jiaotong University, 45: 97-104).
[10]	童秉纲, 陆夕云. 2004. 关于飞行和游动的生物力学研究. 力学进展, 34: 1-8 (Tong B G, Lu X Y.2004. A review on biomechanics of animal flight and swimming. Advances in Mechanics,34: 1-8).
[11]	张兴伟, 周超英, 谢鹏. 2012.扑翼柔性变形对悬停气动特性影响的数值研究. 哈尔滨工业大学学报, 44: 115-119 (Zhang X W, Zhou C Y, Xie P. 2012. Numerical study on the effect of flapping wing deformation on aerodynamic performance in hovering flight. Journal of Harbin Institute of Technology, 44: 115-119).
[12]	张家忠, 陈丽莺, 梅冠华, 周志宏, 苏哲. 2008. 基于时滞惯性流形的浅拱动力屈曲研究//第八届全国动力学与控制学术会议, 哈尔滨 (Zhang J Z, Chen L Y, Mei G H, Zhou Z H, Su Z.2008. Dynamic bucking analysis of shallow parabolic arch based on the method of inertial manifolds with time delay//The 8th National Conference on Dynamics & Control, Harbin).
[13]	张家忠, 李凯伦, 陈丽莺. 2011. 翼型失速的非线性动力学特性及其控制. 航空学报, 32: 2163-2173 (Zhang J Z, Li K L, Chen L Y.2011. Nonlinear dynamics of static stall of airfoil and its control. Acta Aeronautica ET Astronautica Sinica, 32: 2163-2173).
[14]	Al Musleh A, Frendi A.2011. On the effects of a flexible structure on boundary layer stability and transition. Journal of Fluids Engineering, 133: 071103.
[15]	Benjamin T B.1960. Effects of a flexible boundary on hydrodynamic stability. Journal of Fluid Mechanics, 9: 513-532.
[16]	Carpenter P W, Garrad A D.1985. Hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 1: Tollmien-Schlichting instabilities. Journal of Fluid Mechanics, 155: 465-510.
[17]	Carpenter P W, Garrad A D.1986. Hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2: Flow-induced surface instabilities. Journal of Fluid Mechanics, 170: 199-232.
[18]	Carpenter P W.1993. Optimization of multiple-panel compliant walls for delay of laminar-turbulent transition. AIAA Journal, 31: 1187-1188.
[19]	Carpenter P W, Lucey A D, Davies C.2001. Progress on the use of compliant walls for laminar-flow control. Journal of aircraft, 38: 504-512.
[20]	Davies C, Carpenter P W.1997. Instabilities in a plane channel flow between compliant walls. Journal of Fluid Mechanics, 352: 205-243.
[21]	Davies C, Carpenter P W.1997. Numerical simulation of the evolution of Tollmien-Schlichting waves over finite compliant panels. Journal of Fluid Mechanics, 335: 361-392.
[22]	Degroote J, Haelterman R, Annerel S, Bruggeman P, Vierendeels J.2010. Performance of partitioned procedures in fluid-structure interaction. Computers & Structures, 88: 446-457.
[23]	Dickinson M H, Lehmann F O, Sane S P.1999. Wing rotation and the aerodynamic basis of insect flight. Science, 284: 1954-1960.
[24]	Domaradzki J A, Metcalfe R W.1987. Stabilization of laminar boundary layers by compliant membranes. Physics of Fluids, 30: 695-705.
[25]	Du G, Sun M.2010. Effects of wing deformation on aerodynamic forces in hovering hoverflies. Journal of Experimental Biology, 213: 2273-2283.
[26]	Duncan J, Waxman A, Tulin M.1985. The dynamics of waves at the interface between a viscoelastic coating and a fluid flow.Journal of Fluid Mechanics, 158: 177-197.
[27]	Ellington C P, Van Den Berg C, Willmott A P, Thomas A L R.1996. Leading-edge vortices in insect flight. Nature, 384: 626-30.
[28]	Eldredge J D, Toomey J, Medina A.2010. On the roles of chord-wise flexibility in a flapping wing with hovering kinematics. Journal of Fluid Mechanics, 659: 94-115.
[29]	Galvao R, Israeli E, Song A, Tian X D, Bishop K, Swartz S, Breuer K.2006. The aerodynamics of compliant membrane wings modeled on mammalian flight mechanics. AIAA Paper, 2006-2866.
[30]	Gad-el-Hak M.2002. Compliant coatings for drag reduction.Progress in Aerospace Sciences, 38: 77-99.
[31]	Gordnier R E.2009. High fidelity computational simulation of a membrane wing airfoil. Journal of Fluids and Structures, 25: 897-917.
[32]	Gordnier R E, Attar P J.2009. Implicit les simulations of a low Reynolds number flexible Membrane Wing Airfoil. AIAA Paper, 2009-579.
[33]	Greenblatt D, Wygnanski I J.2000. The control of flow separation by periodic excitation. Progress in Aerospace Sciences, 36: 487-545.
[34]	Mei G H, Zhang J Z, Sun X.2014. Analysis of supersonic and transonic panel flutter using a fluid-structure coupling algorithm. ASME Journal of Vibration and Acoustics, 136: 031013-031013-11.
[35]	Mei G H, Zhang J Z, Wang Z P.2013. Numerical analysis of panel flutter on inertial manifolds with delay. ASME Journal of Computational and Nonlinear Dynamics, 8: 1-11.
[36]	Hübner B, Walhorn E, Dinkler D.2004. A monolithic approach to fluid--structure interaction using space--time finite elements. Computer Methods in Applied Mechanics and Engineering, 193: 2087-2104.
[37]	Jahanmiri M.2011. Aircraft drag reduction: An overview. Chalmers University of Technology, Research Report, 02.
[38]	Jog C, Pal R.2011. A monolithic strategy for fluid--structure interaction problems. International Journal for Numerical Methods in Engineering, 85: 429-460.
[39]	Kang C, Aono H, Cesnik C, Shyy W.2011. Effects of flexibility on the aerodynamic performance of flapping wings. Journal of Fluid Mechanics, 689: 32-74.
[40]	Kang W, Zhang J Z, Feng P H.2012. Aerodynamic analysis of a localized flexible airfoil at low Reynolds numbers. Communications in Computational Physics, 11: 1300-1310.
[41]	Kang W, Zhang J Z, Lei P F, Min Xu.2015. Effects of local oscillation of airfoil surface on lift enhancement at low Reynolds number. Journal of Fluid and Structure, 57: 49-65.
[42]	Kang W, Zhang J Z, Lei P F, Min X.2014. Computation of unsteady viscous flow around a locally flexible airfoil at low Reynolds number. Journal of Fluid and Structure, 46: 42-58.
[43]	Kramer M O.1960. Boundary layer stabilization by distributed damping. Journal of the American Society for Naval Engineers, 72: 25-34.
[44]	Küttler U, Wall W A.2008. Fixed-point fluid-- structure interaction solvers with dynamic relaxation. Computational Mechanics, 43: 61-72.
[45]	Landahl M T.1962. On the stability of a laminar incompressible boundary layer over a flexible surface. Journal of Fluid Mechanics, 13: 609-362.
[46]	Lei P F, Zhang J Z, Kang W, Ren S, Wang L.2014. Unsteady flow separation and high performance of airfoil with local flexible structure at low Reynolds number. Communications in Computational Physics, 16: 699-717.
[47]	Lei P F, Zhang J Z, Li K L, Wei D.2015. Study on the transports in transient flow over impulsively started circular cylinder using Lagrangian coherent structures. Communications in Nonlinear Science and Numerical Simulation, 22: 953-963.
[48]	Li K L, Zhang J Z, Ren J H, Yan Y.2015. Investigation of aerothermoelastic behaviors of functionally graded panels in supersonic flows. Journal of Thermal Stresses, 38: 882-903.
[49]	Liu Y, Li K L, Wang H, Liu L.2012. Numerical bifurcation analysis of static stall of airfoil and dynamic stall under unsteady perturbation. Communications in Nonlinear Science and Numerical Simulation, 17: 3427-3434.
[50]	Lucey A, Carpenter P.1995. Boundary layer instability over compliant walls: Comparison between theory and experiment. Physics of Fluids, 7: 2355-2363.
[51]	Lee T, Fisher M, Schwarz W.1995. Investigation of the effects of a compliant surface on boundary-layer stability. Journal of Fluid Mechanics, 288: 37-58.
[52]	Lucey A D, Carpenter P M, Werle J.2006. Numerical simulation of the interaction of a uniform mean flow and a compliant boundary//1st International Conference on Computational Methods, 189-193.
[53]	Mani R, Lagoudas D C, Rediniotis O K.2008. Active skin for turbulent drag reduction. Smart Materials and Structures, 17: 035004.
[54]	Mangla N L, Sinha S K.2004. Controlling dynamic stall with an active flexible wall. AIAA Paper, 2004-2325.
[55]	Molki M, Breuer K.2010. Oscillatory motions of a prestrained compliant membrane caused by fluid-membrane interaction. Journal of Fluids and Structures, 26: 339-358.
[56]	Munday D, Jacob J, Hauser T, Huang G.2002 . Experimental and numerical investigation of aerodynamic flow control using oscillating adaptive surfaces. AIAA Paper, 2002-2837.
[57]	Munday D, Jacob J.2002. Active control of separation on a wing with oscillating camber. Journal of aircraft, 39: 187-189.
[58]	Nakata T, Liu H.2012. A fluid-structure interaction model of insect flight with flexible wings. Journal of Computational Physics, 233: 1822-1847.
[59]	Nisewanger C.1964. Flow noise and drag measurements of vehicle with compliant coating. US Naval Ordnance Test Station Report No. 8518, NOTS No. TP-3510, China Lake, California.
[60]	Osborn R, Kota S, Hetrick J A, Geister D E, Tilmann C P, Joo J Y.2004. Active flow control using high-frequency compliant structures. Journal of Aircraft, 41: 603-609.
[61]	Pal D, Sinha S K.1998. Controlling unsteady separation on a cylinder with a driven flexible wall. AIAA Journal, 36: 1023-1028.
[62]	Percin M, Hu Y, Van Oudheusden B, Remes B, Scarano F.2011. Wing flexibility effects in clap-and-fling. International Journal of Micro Air Vehicles, 3: 217-228.
[63]	Persson P O, Peraire J, Bonet J.2007. A high order discontinuous Galerkin method for fluid-structure interaction. AIAA Paper, 2007-4327.
[64]	Puryear F.1962. Boundary layer control: Drag reduction by use of compliant coatings. David Taylor Model Basin Report No. 1668, Bethesda, MD.
[65]	Rojratsirikul P, Wang Z, Gursul I.2009. Unsteady fluid--structure interactions of membrane airfoils at low Reynolds numbers. Experiments in Fluids, 46: 859-872.
[66]	Rojratsirikul P, Wang Z, Gursul I.2010. Effect of pre-strain and excess length on unsteady fluid-structure interactions of membrane airfoils. Journal of Fluids and Structures, 26: 359-376.
[67]	Rojratsirikul P, Genc M, Wang Z, Gursul.2011. Flow-induced vibrations of low aspect ratio rectangular membrane wings. Journal of Fluids and Structures, 27: 1296-1309.
[68]	Ritter H, Messum L T.1964. Water tunnel measurements of turbulent skin friction on six different compliant surfaces of 1 Ft length. British Admiralty Research Laboratory Report No. ARL/N4/GHY/9/7, London, Great Britain.
[69]	Ritter H, Porteous J S.1964. Water tunnel measurements of skin friction on a compliant coating. British Admiralty Research Laboratory Report No. ARL/N3/G/HY/9/7, London, Great Britain.
[70]	Ren S, Zhang J Z, Li K L.2012. Mechanisms for oscillations in volume of single spherical bubble due to sound excitation in water. Chinese Physics Letters, 29: 020504-1-020504-3.
[71]	Sinha S K.1999. Active flexible walls for efficient aerodynamic flow separation control. AIAA Paper, 99-3132.
[72]	Sinha S K.1999. System for efficient control of flow separation using a driven flexible wall. U. S. Patents 5 961 080.
[73]	Sinha S K.2001. Flow separation control with microflexural wall vibrations. Journal of Aircraft, 38: 496-503.
[74]	Sinha S K, Zou J.2000. On controlling flows with micro-vibratory wall motion. AIAA Paper, 2000-4413.
[75]	Sinha S K.2004. Aircraft drag reduction with flexible composite surface boundary layer control. AIAA Paper, 2004-2121.
[76]	Sinha S K, Ravande S V.2006. Sailplane performance improvement using a flexible composite surface deturbulator. AIAA Paper, 2006-447.
[77]	Sinha S K, Ravande S V.2006. Drag reduction of natural laminar flow airfoils with a flexible surface deturbulator. AIAA Paper, 2006-3030.
[78]	Sinha S K.2007. Optimizing Wing lift to drag ratio enhancement with flexible-wall turbulence control. AIAA Paper, 2007-4425.
[79]	Sinha S K, Hyv\"{a}rinen J.2008. Flexible-wall turbulence control for drag reduction on streamlined and bluff bodies. AIAA Paper, 2008-4207.
[80]	Sinha S K, Hendrix J.2009. Obtaining extremely high lift to drag ratios with flexible-wall turbulence control. AIAA Paper, 2009-896.
[81]	Sinha S K, Sinha S.2009. Method of reducing drag and increasing lift due to flow of a fluid over solid objects. U. S. Patents 2009/0294596.
[82]	Sinha S K.2008. System and method for using a flexible composite surface for pressure-drop free heat transfer enhancement and flow drag reduction. U. S. Patents 7 422 051.
[83]	Sinha S K.2010. Deturbulator fuel economy Enhancement for trucks. U. S. Patents 2010/0194144.
[84]	Smith R, Shyy W.1995. Computation of unsteady laminar flow over a flexible two-dimensional membrane wing. Physics of Fluids, 7: 2175-2184.
[85]	Smith R, Shyy W.1996. Computation of aerodynamic coefficients for a flexible membrane airfoil in turbulent flow: A comparison with classical theory. Physics of Fluids, 8: 3346-3353.
[86]	Song A, Breuer K.2007. Dynamics of a compliant membrane as related to mammalian flight. AIAA Paper, 2007-665.
[87]	Sun M, Tang J.2002. Unsteady aerodynamic force generation by a model fruit fly wing in flapping motion. Journal of Experimental Biology, 205: 55-70.
[88]	Sun X, Zhang J Z, Ren X L.2012. Characteristic-Based Split (CBS) finite element method for incompressible viscous flow with moving boundaries. Engineering Applications of Computational Fluid Mechanics, 6: 461-474.
[89]	Tong B G, Lu X Y.2004. A review on biomechanics of animal fight and swimming. Advances in Mechanics, 34: 1-8.
[90]	Thiria B, Godoy-Diana R.2010. How wing compliance drives the efficiency of self-propelled flapping flyers. Physical Review E, 82: 015303.
[91]	Visbal M R, Gordnier R E, Galbraith M C.2009. High-fidelity simulations of moving and flexible airfoils at low Reynolds numbers. Experiments in Fluids, 46: 903-922.
[92]	Weis-Fogh T.1973. Quick estimates of flight fitness in hovering animals, including novel mechanisms for lift production.Journal of Experimental Biology, 59: 169-230.
[93]	Wang Z, Yeo K, Khoo B.2005. Spatial direct numerical simulation of transitional boundary layer over compliant surfaces.Computers and Fluids, 34: 1062-1095.
[94]	Wang X, Walters K, Coley L, Barton M, Sinha S.2012. Modeling turbulence control effect of the Sinha flexible composite surface deturbulator. AIAA Paper, 2012-3204.
[95]	Wang Y T, Zhang J Z.2011. An improved ALE and CBS-based finite element algorithm for analyzing flows around forced oscillating bodies. Finite Elements in Analysis and Design, 47: 1058-10659.
[96]	Yeo K.1988. The stability of boundary-layer flow over single- and multi-layer viscoelastic walls. Journal of Fluid Mechanics, 196: 259-408.
[97]	Yeo K.1990. The hydrodynamic stability of boundary-layer flow over a class of anisotropic compliant walls. Journal of Fluid Mechanics, 220: 125-160.
[98]	Zhang J Z, Ren S, Mei G H.2011. Model reduction on inertial manifolds for~N-S equations approached by multilevel finite element method. Communications in Nonlinear Science and Numerical Simulation, 16: 195-205.
[99]	Zhang J Z, Liu Y, Lei P F, Sun X.2007. Dynamic snap-through buckling analysis of shallow arches under impact load based on approximate inertial manifolds. Dynamics of Continuous, Discrete and Impulsive Systems, Series B, 14: 287-291.
[100]	Zhang J Z, Liu Y, Feng P H.2011. Approximate inertial manifolds of burgers equation approached by nonlinear Galerkin's procedure and its application. Communications in Nonlinear Science and Numerical Simulation, 16: 4666-4670.
[101]	Zhang J Z, Liu Y, Cheng D M.2005. Error estimate for the influence of model reduction of nonlinear dissipative autonomous dynamical system on the long-term behaviors. Journal of Applied Mathematics and Mechanics( English Edition), 26: 938-943.