Hostname: page-component-5c6d5d7d68-sv6ng Total loading time: 0 Render date: 2024-08-16T17:33:15.875Z Has data issue: false hasContentIssue false
  • English
  • Français

Analytical structural behaviour of elastic flapping wings under the actuator effect

Published online by Cambridge University Press:  04 July 2018

H. Zare ,
Seid H. Pourtakdoust  and
A. Bighashdel
H. Zare
Affiliation:
Center for Research and Development in Space Science and Technology, Sharif University of Technology, Tehran- Iran
Seid H. Pourtakdoust*
Affiliation:
Center for Research and Development in Space Science and Technology, Sharif University of Technology, Tehran- Iran
A. Bighashdel
Affiliation:
Center for Research and Development in Space Science and Technology, Sharif University of Technology, Tehran- Iran
*
pourtak@sharif.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

The effect of inertial forces on the Structural Dynamics (SD) behaviour of Elastic Flapping Wings (EFWs) is investigated. In this regard, an analytical modal-based SD solution of EFW undergoing a prescribed rigid body motion is initially derived. The formulated initial-value problem is solved analytically to study the EFW structural responses, and sensitivity with respect to EFWs’ key parameters. As a case study, a rectangular wing undergoing a prescribed sinusoidal motion is simulated. The analytical solution is derived for the first time and helps towards a conceptual understanding of the overall EFW's SD behaviour and its analysis required in their designs. Specifically, the EFW transient and steady response in on-off servo condition is also attended.

Keywords

Elastic flapping wingstructural dynamicsanalytical solutionmodal approach
Type
Research Article
Information
The Aeronautical Journal , Volume 122 , Issue 1254 , August 2018 , pp. 1176 - 1198
Copyright
Copyright © Royal Aeronautical Society 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Shyy, W., Berg, M. and Ljungqvist, D. Flapping and flexible wings for biological and micro air vehicles, Progress in Aerospace Sciences, 1999, 35, pp 455-505.Google Scholar
2. Wootton, R.J. Functional morphology of insect wings, Annual Review of Entomology, 1992, 37, pp 113-140.Google Scholar
3. Smith, M. The effects of flexibility on the aerodynamics of moth wings - Towards the development of flapping-wing technology, 33rd Aerospace Sciences Meeting and Exhibit, 1995.Google Scholar
4. Zhu, Q. Numerical simulation of a flapping foil with chordwise or spanwise flexibility, AIAA J, 2007, 45, pp 2448-2457.Google Scholar
5. Masoud, H. and Alexeev, A. Resonance of flexible flapping wings at low Reynolds number, Physical Review E, 2010, 81, p 056304.Google Scholar
6. Nakata, T. and Liu, H. Aerodynamic performance of a hovering hawkmoth with flexible wings: a computational approach, Proceedings: Biological Sciences, 2012, 279, pp 722-731.Google Scholar
7. Wenqing, Y., Liguang, W., Dong, X. and Bifeng, S. Aerodynamic performance of micro flexible flapping wing by numerical simulation, Procedia Engineering, 2015, 99, pp 1506-1513.Google Scholar
8. Olivier, M. and Dumas, G. Effects of mass and chordwise flexibility on 2D self-propelled flapping wings, J Fluids and Structures, 2016, 64, 46-66.Google Scholar
9. Olivier, M. and Dumas, G. A parametric investigation of the propulsion of 2D chordwise-flexible flapping wings at low Reynolds number using numerical simulations, J Fluids and Structures, 2016, 63, pp 210-237.Google Scholar
10. Tay, W.B. Symmetrical and non-symmetrical 3D wing deformation of flapping micro aerial vehicles, Aerospace Science and Technology, 2016, 55, pp 242-251.Google Scholar
11. Combes, S.A. and Daniel, T.L. Into thin air: contributions of aerodynamic and inertial-elastic forces to wing bending in the hawkmoth Manduca sexta, J Experimental Biology, 2003, 206, pp 2999-3006.Google Scholar
12. Shyy, W., Ifju, P. and Viieru, D. Membrane wing-based micro air vehicles, Applied Mechanics Reviews, 2005, 58, pp 283-301.Google Scholar
13. Heathcote, S., Wang, Z. and Gursul, I. Effect of spanwise flexibility on flapping wing propulsion. J Fluids and Structures, 2008, 24, pp 183-199.Google Scholar
14. Hu, H., Kumar, A.G., Abate, G. and Albertani, R. An experimental study of flexible membrane wings in flapping flight, 47th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, AIAA, Orlando, Florida, US, 2009.Google Scholar
15. Lua, K., Lai, K., Lim, T. and Yeo, K. On the aerodynamic characteristics of hovering rigid and flexible hawkmoth-like wings. Experiments in fluids, 2010; 49, 1263-1291.Google Scholar
16. Mazaheri, K. and Ebrahimi, A. Experimental study on interaction of aerodynamics with flexible wings of flapping vehicles in hovering and cruise flight, Archive of Applied Mechanics, 2010, 80, pp 1255-1269.Google Scholar
17. Mountcastle, A.M. and Daniel, T.L. Aerodynamic and functional consequences of wing compliance, Animal Locomotion, 2010, pp 311-320.Google Scholar
18. Wu, P., Ifju, P. and Stanford, B. Flapping wing structural deformation and thrust correlation study with flexible membrane wings, AIAA J, 2010, 48, pp 2111-2122.Google Scholar
19. Zhao, L., Huang, Q., Deng, X. and Sane, S.P. Aerodynamic effects of flexibility in flapping wings, J Royal Society Interface, 2010, 7, pp 485-497.Google Scholar
20. Larijani, R.F. and DeLaurier, J.D. A non-linear aeroelastic model for the study of flapping wing flight, Progress in Astronautics and Aeronautics, 2001, 195, pp 399-428.Google Scholar
21. Singh, B. and Chopra, I. An aeroelastic analysis for the design of insect-based flapping wings, 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2007.Google Scholar
22. Gogulapati, A., Friedmann, P. and Shyy, W. Non-linear aeroelastic effects in flapping wing micro air vehicles, 49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Schaumburg, Illinois, US, 2008.Google Scholar
23. Banerjee, S.P. and Patil, M. Aeroelastic analysis of membrane wings, 49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, University Libraries, Virginia Polytechnic Institute and State University, Schaumburg, Illinois, US, 2008.Google Scholar
24. Kim, D.-K. and Han, H. A dynamic model of a flexible flapping wing for fluid-structure interaction analysis, 15th International Congress on Sound and Vibration, 2008.Google Scholar
25. Chimakurthi, S.K., Tang, J., Palacios, R.S., Cesnik, C.E. and Shyy, W. Computational aeroelasticity framework for analyzing flapping wing micro air vehicles, AIAA J, 2009, 47, pp 1865-1878.Google Scholar
26. Khuri, A.I. and Mukhopadhyay, S. Response surface methodology, Wiley Interdisciplinary Reviews: Computational Statistics, 2010, 2, pp 128-149.Google Scholar
27. Aono, H., Kang, C., Cesnik, C.E. and Shyy, W. A numerical framework for isotropic and anisotropic flexible flapping wing aerodynamics and aeroelasticity, 28th AIAA Applied Aerodynamics Conference, Chicago, Illinois, US, 2010.Google Scholar
28. Su, W. and Cesnik, C. Nonlinear aeroelastic simulations of a flapping wing micro air vehicle using two unsteady aerodynamic formulations, 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Orlando, Florida, US, 2010.Google Scholar
29. Pourtakdoust, S.H. and Karimain Aliabadi, S. Evaluation of flapping wing propulsion based on a new experimentally validated aeroelastic model, Scientia Iranica, 2012, 19, pp 472-482.Google Scholar
30. De Rosis, A., Falcucci, G., Ubertini, S. and Ubertini, F. Aeroelastic study of flexible flapping wings by a coupled lattice Boltzmann-finite element approach with immersed boundary method, J Fluids and Structures, 2014, 49, pp 516-33.Google Scholar
31. Lakshminarayan, V.K. and Farhat, C. Nonlinear aeroelastic analysis of highly flexible flapping wings using an ALE formulation of embedded boundary method, AIAA Science and Technology Forum and Exposition, National Harbor, Maryland, US, 2014.Google Scholar
32. Nogar, S., Gogulapati, A., McNamara, J.J. and Serrani, A. Approximate dynamics modeling of flexible flapping wing MAVs with application to control, AIAA Atmospheric Flight Mechanics Conference, National Harbor, Maryland, US, 2014.Google Scholar
33. Ha, N.S., Truong, Q.T., Phan, H.V., Goo, N.S. and Park, H.C. Structural characteristics of allomyrina dichotoma beetle's hind wings for flapping wing micro air vehicle, J Bionic Engineering, 2014, 11, pp 226-235.Google Scholar
34. Djojodihardjo, H. Analysis and computational study of the aerodynamics, aeroelasticity and flight dynamics of flapping wing ornithopter using linear approximation, 54th AIAA Aerospace Sciences Meeting, San Diego, California, US, 2016.Google Scholar
35. Daniel, T.L. and Combes, S.A. Flexible wings and fins: bending by inertial or fluid-dynamic forces?, Integr Comp Biol., 2002, 42, pp 1044-1049.Google Scholar
36. Barut, A., Das, M. and Madenci, E. Nonlinear deformations of flapping wings on a micro air vehicle, Newport, Rhode Island, US, 2006.Google Scholar
37. Wilson, N. and Wereley, N. Experimental investigation of flapping wing performance in hover, 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2007, American Institute of Aeronautics and Astronautics.Google Scholar
38. Yeo, D., Atkins, E.M., Bernal, L.P. and Shyy, W. Experimental characterization of lift on a rigid flapping wing, J Aircraft, 2013, 50, 1806-1821.Google Scholar
39. Isogai, K. and Harino, Y. Optimum aeroelastic design of a flapping wing, J Aircraft, 2007, 44, pp 2040-2048.Google Scholar
40. Platus, D. Aeroelastic stability of slender, spinning missiles, J Guidance, Control, and Dynamics, 1992, 15, pp 144-151.Google Scholar
41. Pourtakdoust, S. and Assadian, N. Investigation of thrust effect on the vibrational characteristics of flexible guided missiles, J Sound and Vibration, 2004, 272, pp 287-299.Google Scholar
42. Meirovitch, L. and Tuzcu, I. Integrated approach to the dynamics and control of maneuvering flexible aircraft, 2003 National Aeronautics and Space Administration, Langley Research Center.Google Scholar
43. Li, Y., Nahon, M. and Sharf, I. Dynamics modeling and simulation of flexible airships, AIAA J, 2009, 47, pp 592-605.Google Scholar
44. Hollkamp, J.J. and Gordon, R.W. Reduced-order models for nonlinear response prediction: Implicit condensation and expansion, J Sound and Vibration, 2008, 318, pp 1139-1153.Google Scholar
45. Rizzi, S.A. and Muravyov, A.A. Equivalent linearization analysis of geometrically nonlinear random vibrations using commercial finite element codes, NASA Technical Paper TP-2002-211761, 2002.Google Scholar
46. McEwan, M.I. A Combined Modal/Finite Element Technique for the Non-linear Dynamic Simulation of Aerospace Structures, PhD thesis, 2001, University of Manchester, England.Google Scholar
47. Ogata, K. Modern Control Engineering, Prentice Hall, 2010, Upper Saddle River, New Jersey, US.Google Scholar
48. Beer, F.P. E. Jr, Russell, Johnston, DeWolf, John T. and Mazurek, David F. Mechanics of Materials, 2011, McGraw-Hill, New York, New York, US.Google Scholar
49. MSC. Nastran 2010 User's Manual: MSC.Software Corporation, 2010.Google Scholar