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Extensive 3D analysis for fluid–structure interaction of spanwise flexible plunging wing 3D FSI Analysis for Spanwise Flexible Plunging Wing

Published online by Cambridge University Press:  13 March 2019

H. Cho*
Affiliation:
BK21 Plus Transformative Training Program for Creative Mechanical and Aerospace Engineers, Institute of Advanced Machines and Design, Seoul National University, Seoul, Republic of Korea
N. Lee*
Affiliation:
R&D Strategy Team, Vehicle & Launcher System R&D Division, Hanwha Defense Systems, Gyeongsangnam-do, Republic of Korea
S.-J. Shin*
Affiliation:
Department of Mechanical and Aerospace Engineering, Institute of Advanced Aerospace Technology, Seoul National University, Seoul, Republic of Korea
S. Lee*
Affiliation:
Department of Aerospace Engineering, Inha University, Incheon, Republic of Korea

Abstract

In this study, an improved fluid–structure interaction (FSI) analysis method is developed for a flapping wing. A co-rotational (CR) shell element is developed for its structural analysis. Further, a relevant non-linear dynamic formulation is developed based on the CR framework. Three-dimensional preconditioned Navier–Stokes equations are employed for its fluid analysis. An implicit coupling scheme is employed to combine the structural and fluid analyses. An explicit investigation of a 3D plunging wing is conducted using this FSI analysis method. A further investigation of this plunging wing is performed in relation to its operating condition. In addition, the relation between the wing’s aerodynamic performance and plunging motion is investigated.

Type
Research Article
Copyright
© Royal Aeronautical Society 2019 

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References

REFERENCES

1. Ellington, C.P., Van Den Berg, C., Willmott, A.P. and Thomas, A.L.R. Leading-edge vortices in insect flight, Nature, 1996, 384, pp 626630.Google Scholar
2. Willmott, A.P. and Ellington, C.P. The mechanics of flight in the hwakmoth mandca sexta i. kinematics of hovering and forward flight, J Experimental Biology, 1997, 206, pp 27052722.Google Scholar
3. Jones, K.D., Dohring, C.M. and Platzer, M.F. Experimental and computational investication of the knoller betz effect, AIAA J, 1998, 36, (7), pp 12401246.Google Scholar
4. Anderson, J.M., Streitlin, K., Barrett, D.S. and Triantafyllou, M.S. Oscillating foils of high propulsive efficiency, J Fluid Mechanics, 1998, 360, pp 4172.Google Scholar
5. Combes, S.A. and Daniel, T.L. Into thin air: contributions of aerodynamic and inertial-elastic forces to wing bending in the Hawkmoth Manduca Secta, J Experimental Biology, 2003, 206, pp 29993006.Google Scholar
6. Heathcote, S., Wang, Z. and Gursul, I. Effect of spanwise flexibility on flapping wing propulsion, J Fluids and Structures, 2008, 24, (2), pp 183199.Google Scholar
7. Hu, H., Kumar, A.G., Abate, G. and Albertani, R. An experimental investigation on the aerodynamic performances of flexible membrane wings in flapping flight, Aerospace Science and Technology, 2010, 14, (8), pp 575586.Google Scholar
8. Truong, T.Q., Phan, V.H. and Park, H.C. Effect of wing twisting on aerodynamic performance of flapping wing system, AIAA J, 2013, 51, (7), pp 1612–1520.Google Scholar
9. Ryu, Y.G., Chang, J.W. and Chung, J. Aerodynamic force and vortex structures of flapping flexible hawkmoth-like wings, Aerospace Science and Technology, 2016, 56, pp 183196.Google Scholar
10. Liu, T., Kuykendoll, K., Rhew, R. and Jones, S. Avian wing geometry and kinematics, AIAA J, 2006, 44, (5), pp 954963.Google Scholar
11. Zhu, Q. Numerical simulation of a flapping foil with chordwise or spanwise flexibility, AIAA J, 2007, 45, (10), pp 24482457.Google Scholar
12. Yuan, W., Lee, R., Hoogkamp, E. and Khalid, M. Numerical and experimental simulation of flapping wings, Int J Micro Air Vehicles, 2010, 2, (3), pp 181209.Google Scholar
13. Hamamoto, M., Ohta, Y., Hara, K. and Hisada, T. Application of fluid–structure interaction analysis to flapping flight of insects with deformable wings, Advanced Robotics, 2007, 21, (1–2), pp 121.Google Scholar
14. Chimakurthi, S.K. A Computational Aeroelasticity Framework for Analyzing Flapping Wings, PhD thesis, Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, US, 2009.Google Scholar
15. Lakshminarayan, V.K. and Baeder, J.D. Computational investigation of micro hovering rotor aerodynamics, J the American Helicopter Soc, 2010, 55, (2), p 22001.Google Scholar
16. Masarati, P., Morandini, M., Quaranta, G., Chandar, D., Roget, B. and Sitaraman, J. Tightly coupled cfd/multibody analysis of flapping-wing micro-aerial vehicles. AIAA 2011-3022, 29th AIAA Applied Aerodynamics Conference, June 2011, Honolulu, HI.Google Scholar
17. Malhan, R., Lakshminarayan, V.K., Baeder, J. and Chopra, I. Cfd-csd coupled aeroelastic analysis of flexible flapping wings for mav applications: methodology validation. AIAA 2012-1636, 53th AIAA/ASME/ASCE/AHS/ASC Structres, Structural Dynamics, and Material Conference, April 2012, Honolulu, HI.Google Scholar
18. Malhan, R., Baeder, J., Chopra, I. and Masarati, P. Cfd-csd coupled aeroelastic analysis of flexible flapping wings for mav applications. AIAA 2013-1644, 54th AIAA/ASME/ASCE/AHS/ASC Structres, Structural Dynamics, and Material Conference, April 2013, Boston, MA.Google Scholar
19. Gordnier, R.E., Chimakurthi, S.K., Cesnik, C.E.S. and Attar, P.J. High-fidelity aeroelastic computations of a flapping wing with spanwise flexibility, J Fluids and Structures, 2013, 40, pp 86104.Google Scholar
20. Gogulapati, A., Friedmann, P.P., Kheng, E. and Shyy, W. Approximate aeroeroelastic modeling of flapping wing in hover, AIAA J, 2013, 51, (3), pp 567583.Google Scholar
21. Kang, C.-K., Aono, H., Cesnik, C.E.S. and Shyy, W. Effects of flexibility on the aerodynamic performance of flapping wings, J Fluid Mechanics, 2011, 689, pp 3274.Google Scholar
22. Tay, W.B. Symmetrical and non-symmetrical 3d wing deformation of flapping micro aerial vehicles, Aerospace Science and Technology, 2016, 55, pp 242251.Google Scholar
23. Geissler, W. and van der Wall, B.G. Dynamic stall control on flapping wing airfoils, Aerospace Science and Technology, 2017, 62, pp 110.Google Scholar
24. Shyy, W., Berg, M. and Ljungqvist, D. Flapping and flexible wings for biological and micro air vehicles, Progress in Aerospace Sciences, 1999, 35, (5), pp 455505.Google Scholar
25. Shyy, W., Aono, H., Chimakurthi, S.K., Trizila, P., Kang, C.-K., Cesnik, C.E.S. and Liu, H. Recent progress in flapping wing aerodynamics and aeroelasticity, Progress in Aerospace Sciences, 2010, 46, (7), pp 284327.Google Scholar
26. Chimakurthi, S.K., Tang, J., Palacios, R., Cesnik, C.E.S. and Shyy, W. Computational aeroelasticity framework for analyzing flapping wing micro air vehicles, AIAA J, 2009, 47, (8), pp 18651878.Google Scholar
27. Cho, H., Kwak, J.Y., Shin, S.J., Lee, N. and Lee, S. Flapping wing fluid-structural interaction analysis using co-rotational triangular planar structural element, AIAA J, 2016, 54, (8), pp 22652276.Google Scholar
28. Cho, H., Lee, N., Kwak, J.Y., Shin, S.J. and Lee, S. Three-dimensional fluid–structure interaction analysis of a flexible flapping wing under the simultaneous pitching and plunging motion, Nonlinear Dynamics, 2016, 86, (3), pp 19511966.Google Scholar
29. Rankin, C.C. and Brogan, A. An element-independent corotational procedure for the treatment of large rotations, ASME J Pressure Vessel Technology, 1989, 108, (2), pp 165175.Google Scholar
30. Felippa, C.A. and Haugen, B. A unified formulation of small-strain corotational finite elements: I. Theory, Computer Methods in Applied Mechanics and Engineering, 2005, 194, (21–24), pp 22852335.Google Scholar
31. Roe, P.L. Approximate riemann solvers, paramether vectors, and difference schemes, J Computational Physics, 1981, 32, pp 357372.Google Scholar
32. van Lear, B. Towards the ultimate conservative difference scheme. v. a second order sequel to godunovs method, J Computational Physics, 1979, 32, pp 101136.Google Scholar
33. Weiss, J.M. and Smith, W.A. Preconditioning applied to variable and constant density flows, AIAA J, 1995, 33, (11), pp 20502057.Google Scholar
34. Yoo, I. and Lee, S. Reynolds-averaged Navier–Stokes computations of synthetic jet flows using deforming meshes, AIAA J,, 2012, 50, (9), pp 19431955.Google Scholar
35. Zhong, H.G and Crisfield, M.A. An energy-conserving co-rotational procedure for the dynamics of shell structures, Engineering Computations, 1998, 15, pp 552576.Google Scholar
36. Almeida, F.S. and Awruch, A.M. Corotational nonlinear dynamic analysis of laminated composite shells, Finite Elements in Analysis and Design, 2011, 47, pp 11311145.Google Scholar
37. Yang, J.S. and Xia, P. Energy conserving and decaying algorithms for corotational finite element nonlinear dynamic responses of thin shells, Science China Technological Sciences, 2012, 55, (12), pp 33113321.Google Scholar
38. Yang, J.S. and Xia, P. Corotationa nonlinear dynamic analysis of thin-shell structures with finite rotations, AIAA J, 2015, 53, (3), pp 663677.Google Scholar
39. Pacoste, C. Co-rotational flat facet triangular elements for shell instability analysis, Computer Methods in Applied Mechanics and Engineering, 1998, 156, pp 75110.Google Scholar
40. Battini, J.-M. A modified corotational framework for triangular shell elements, Computer Methods in Applied Mechanics and Engineering, 2007, 196, pp 19051914.Google Scholar
41. Le, T.-N., Battini, J.-M. and Hjiaj, M. Dynamics of 3d beam elements in a corotational context: a comparative study of established and new formulations, Finite Elements in Analysis and Design, 2012, 61, pp 97111.Google Scholar
42. Khosravi, R., Ganesan, R. and Sedaghati, R. An efficient facet shell element for co-rotational nonlinear analysis of thin and moderately thick laminated composite structures, Computers & Structures, 2008, 86, pp 850858.Google Scholar
43. Eriksson, A. and Pacoste, C. Element formulation and numerical techniques for stability problems in shells, Computer Methods in Applied Mechanics and Engineering, 2002, 191, pp 37753810.Google Scholar
44. Crisfield, M.A. Non-Linear Finite Element Analysis of Solids and Structures, Advanced Topics Vol. 2. Wiley, 1997, Chischester.Google Scholar
45. Le, T.-N., Battini, J.-M. and Hjiaj, M. A consistent 3D corotational beam element for nonlinear dynamic analysis of flexible structures, Computer Methods in Applied Mechanics and Engineering, 2014, 269, (1), pp 538565.Google Scholar