On the vein-stiffening membrane structure of a dragonfly hind wing

Journal of Zhejiang University: Science A

Volumn 10, Issue 1, 2009, Pages 72-81

  Li, Zhong Xue ^a   Shen, Wei ^a   Tong, Gen Shu ^a   Tian, Jia Meng ^a   Vu Quoc, Loc ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b J Crayton Pruitt Family Department of Biomedical Engineering   (United States)

Author keywords

Bionics; Dragonfly wing; Pterostigma; Quivering effect; Venation pattern; Wing membrane

Indexed keywords

FLEXIBLE STRUCTURES; MEMBRANES; NATURAL FREQUENCIES; STIFFNESS; THREE DIMENSIONAL;

3D WINGS; AERIAL VEHICLES; COMPUTATIONAL MODELS; DRAGONFLY WING; FINITE ELEMENTS; FLAPPING WINGS; FLEXURAL STIFFNESS; FUNDAMENTAL FREQUENCIES; INTERNAL FORCES; LEADING EDGES; LUMPED MASS; MEMBRANE STRUCTURES; OUT OF PLANES; PLANAR WINGS; PTEROSTIGMA; QUIVERING EFFECT; ROOF SYSTEMS; SPECIAL FUNCTIONS; STRUCTURAL PERFORMANCE; THIN-WALLED; TRANSVERSE LOADINGS; VEIN SIZES; VENATION PATTERN; WING STRUCTURES;

WINGS;

EID: 62349096661     PISSN: 1673565X     EISSN: 18621775     Source Type: Journal    
DOI: 10.1631/jzus.A0820211     Document Type: Article

References (44)

1. S. Ahmad B.M. Irons O.C. Zienkiewicz 1970 Analysis of thick and thin shell structures by curved finite elements International Journal for Numerical Methods in Engineering 2 3 419 451
2. R. Bradshaw D. Campbell M. Gargari A. Mirmiran P. Tripeny 2002 Special structures: past, present, and future Journal of Structural Engineering ASCE 128 6 691 709
3. S.A. Combes T.L. Daniel 2003 Flexural stiffness in insect wings I. Scaling and the influence of wing venation Journal of Experimental Biology 206 17 2979 2987
4. S.A. Combes T.L. Daniel 2003 Flexural stiffness in insect wings II. Spatial distribution and dynamic wing bending Journal of Experimental Biology 206 17 2989 2997
5. Cook, R.D., 1981. Concepts and Applications of Finite Element Analysis. John Wiley & Sons, New York.
6. Dillmann, R., Albiez, J., Gamann, B., Kerscher, T., 2005. Biologically Motivated Control of Walking Machines. In: Armada, M.A., Santos, P.G. (Eds.), Climbing and Walking Robots, Springer, Berlin, Heidelberg, p.55-69. [doi:10.1007/3-540-29461-9-4]
7. Dudley, R., 2000. The Biomechanics of Insect Flight: Form, Function Evolution. Princeton University Press, Princeton.
8. C.P. Ellington 1999 The novel aerodynamics of insect flight: applications to micro-air vehicles Journal of Experimental Biology 202 23 3439 3448
9. P. Feng L.P. Ye J.G. Teng 2007 Large-span woven web structure made of fiber-reinforced polymer Journal of Composites for Construction 11 2 110 119
10. E. Fest K. Shea B. Domer I.F.C. Smith 2003 Adjustable tensegrity structures Journal of Structural Engineering ASCE 129 4 515 526
11. A. Holgate 1990 Aesthetics of thin-walled structures Thin-Walled Structures 9 1-4 437 457
12. A. Ibrahimbegovic 1995 On finite element implementation of geometrically nonlinear reissner's beam theory: three-dimensional curved beam elements Computer Methods in Applied Mechanics and Engineering 122 1-2 11 26
13. H. Isler 1986 Concrete shells and architecture Bulletin of the International Association for Shell and Spatial Structures 27 2 39 42
14. B.A. Izzuddin 2005 An enhanced co-rotational approach for large displacement analysis of plates International Journal for Numerical Methods in Engineering 64 10 1350 1374
15. M. Kawaguchi I. Tatemichi P.S. Chen 1999 Optimum shapes of a cable dome structure Engineering Structures 21 8 719 725
16. A.B. Kesel U. Philippi W. Nachtigall 1998 Biomechanical aspects of the insect wing: an analysis using the finite element method Computers in Biology and Medicine 28 4 423 437
17. Z.X. Li 2007 A mixed co-rotational formulation of 2D beam element using vectorial rotational variables Communications in Numerical Methods in Engineering 23 1 45 69
18. Z.X. Li 2007 A co-rotational formulation for 3D beam element using vectorial rotational variables Computational Mechanics 39 3 309 322
19. Li, Z.X., Zheng, Y., 2005. Studies on the Flexible Wings of an Intelligent Aerocraft. In: Zhang, G.T., Xing, Q.H. (Eds.), Proceeding of the 1st Annual Academic Conference of Chinese Society of Astronautics. Astronautic Publishing House, Beihai, China, p.730-733 (in Chinese).
20. Z.X. Li L. Vu-Quoc 2007 An efficient co-rotational formulation for curved triangular shell element International Journal for Numerical Methods in Engineering 72 9 1029 1062
21. Z.X. Li B.A. Izzuddin L. Vu-Quoc 2008 A 9-node co-rotational quadrilateral shell element Computational Mechanics 42 6 873 884
22. W.I. Liddell P.W. Miller 1999 Design and construction of the millennium dome Structural Engineering International 9 3 172 175
23. F.A. Mcrobie J. Lasenby 1999 Simo-Vu Quoc rods using clifford algebra International Journal for Numerical Methods in Engineering 45 4 377 398
24. R.A. Norberg 1972 The pterostigma of insect wings an inertial regulator of wing pitch Journal of Comparative Physiology A: Neuroethology, Sensory, Neural, and Behavioral Physiology 81 1 9 22
25. U.M.L. Norberg 2002 Structure, form, and function of flight in engineering and the living world Journal of Morphology 252 1 52 81
26. M. Okamoto K. Yasuda A. Azuma 1996 Aerodynamic characteristics of the wings and body of a dragonfly Journal of Experimental Biology 199 2 281 294
27. J. Schlaich R. Bergermann W. Sobek 1994 Air-inflated roof over the Roman amphitheatre at Nimes Structural Engineering Review 6 3-4 203 214
28. Shapiro, J., 1955. Principles of Helicopter Engineering. Temple Press, London, p.365.
29. Shen, W., 2006. Studies on New-style Reticulately Stiffening Thin-walled Cantilever by Bionic Modeling of Dragonfly Wings. MS Thesis, Zhejiang University, Hangzhou, p.53-76 (in Chinese).
30. W. Shyy M. Berg D. Ljungqvist 1999 Flapping and flexible wings for biological and micro air vehicles Progress in Aerospace Sciences 35 5 455 505
31. J.C. Simo L. Vu-Quoc 1986 A three-dimensional finite-strain rod model. Part II: computational aspects Computer Methods in Applied Mechanics and Engineering 58 1 79 116
32. Somervill, B.A., 2005. The History of the Airplane. The Child's World Inc. Chanhassen, Minnesota.
33. S. Sudo K. Tsuyuki J. Tani 2000 Wing morphology of some insects JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing 43 4 895 900
34. Z.J. Sun Q.L. Zhang 2005 A study on pre-tension measurement of membrane structures International Journal of Space Structures 20 2 71 82
35. S. Sunada L.J. Zeng K. Kawachi 1998 The relationship between dragonfly wing structure and torsional deformation Journal of Theoretical Biology 193 1 39 45
36. C.Y. Tang K.H. Tan 2004 An interactive mechanical model for shear strength of deep beams Journal of Structural Engineering ASCE 130 10 1534 1544
37. R.J. Wootton 1990 The mechanical design of insect wings Scientific American 263 5 114 120
38. R.J. Wootton J. Kukalová-Peck D.J.S. Newman J. Muzón 1998 Smart engineering in the Mid-Carboniferous: How well could Palaeozoic dragonflies fly? Science 282 5389 749 751
39. L.J. Zeng H. Matsumoto K. Kawachi 1996 Simultaneous measurement of the shape and thickness of a dragonfly wing Measurement Science & Technology 7 12 1728 1732
40. Zhang, G., 2007. Studies on New-style Spatial Cantilever Structures by Bionic Modeling of Dragonfly Wings. MS Thesis, Zhejiang University, Hangzhou, p.63-69 (in Chinese).
41. Q.L. Zhang L. Zhang 2000 Three kinds of shape finding problems and their solutions for membrane structures Journal of Building Structures 21 5 33 40
42. Q.L. Zhang L.X. Chen X.Q. Luo Z.L. Yang 2007 Equivalent transform from the force-densities of cable nets to the stresses of membrane elements Structural Engineering and Mechanics 26 4 479 482
43. Y.X. Zhang Y.K. Cheung 2003 A refined non-linear non-conforming triangular plate/shell element International Journal for Numerical Methods in Engineering 56 15 2387 2408
44. Y.X. Zhang K.S. Kim 2005 Linear and geometrically nonlinear analysis of plates and shells by a new refined non-conforming triangular plate/shell element Computational Mechanics 36 5 331 342