WU Jiang-hao, SUN Mao. Control of Flight Forces and Moments by the Flapping Wings of a Model Bumble-bee[J]. Applied Mathematics and Mechanics, 2008, 29(3): 301-315.
Citation: WU Jiang-hao, SUN Mao. Control of Flight Forces and Moments by the Flapping Wings of a Model Bumble-bee[J]. Applied Mathematics and Mechanics, 2008, 29(3): 301-315.

Control of Flight Forces and Moments by the Flapping Wings of a Model Bumble-bee

  • Received Date: 2007-09-17
  • Rev Recd Date: 2008-01-14
  • Publish Date: 2008-03-15
  • The control of flight forces and moments by the flapping wings of a model bumble-bee is studied using the method of computational fluid dynamics. Hovering flight was taken as the reference flight: wing kinematic parameters are varied with respect to their values at hovering flight. Moments about (and forces along) x, y, z axes that pass the center of mass were computed. Changing stroke amplitude (or wingbeat frequency) mainly produces a vertical force. Changing mean stroke angle mainly produces a pitch moment. Changing wing angle of attack, when down-and up-strokes having equal change, mainly produces a vertical force, and when down-and up-strokes having opposite changes, mainly produces a horizontal force and a pitch moment. Changing wing rotation timing, when dorsal and ventral rotations having the same timing, mainly produces a vertical force, and when dorsal and ventral rotations having opposite timings, mainly produces a pitch moment and a horizontal force. Changing rotation duration has very small effect on the forces and moments. Anti- symmetrically changing stroke amplitude (or wingbeat frequency) of the contralateral wings mainly produces a roll moment. Anti- symmetrically changing the angles of attack of the contralateral wings, when down-and up-stroke having equal change, mainly produces a roll moment, and when down-and up-stroke having opposite changes, mainly produces a yaw moment. Anti- symmetrically changing wing rotation timing of the contralateral wings, when dorsal and ventral rotations having the same timing, mainly produces a roll moment and a side force, and when dorsal and ventral rotations having opposite timings, mainly produces a yaw moment. Vertical force and moments about the three axes can be separately controlled by separate kinematic variables. Very fast rotation can be achieved with moderate changes in wing kinematics.
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  • [1]
    Taylor G K. Mechanics and aerodynamics of insect flight control[J].Biol Rev,2001,76(4):449-471. doi: 10.1017/S1464793101005759
    [2]
    Taylor G K, Thomas A L R.Dynamic flight stability in the desert locust Schistocerca gregaria[J].J Exp Biol,2003,206(16):2803-2829. doi: 10.1242/jeb.00501
    [3]
    Sun M, Xiong Y. Dynamic flight stability of a hovering bumble-bee[J].J Exp Biol,2005,208(3):447-459. doi: 10.1242/jeb.01407
    [4]
    Dudley R, Ellington C P.Mechanics of forward flight in bumble-bees—Ⅰ Kinematics and morphology[J].J Exp Biol,1990,148(1):19-52.
    [5]
    Dudley R, Ellington C P. Mechanics of forward flight in bumble-bees—Ⅱ Quasi-steady lift and power requirements[J].J Exp Biol,1990,148(1):53-88.
    [6]
    Dickinson M H, Gtz K G.Unsteady aerodynamic performance of model wings at low Reynolds numbers[J].J Exp Biol,1993,174(1):45-64.
    [7]
    Ellington C P, Van den Berg C,Willmott A P,et al.Leading edge vortices in insect flight[J].Nature,1996,347(12):472-473.
    [8]
    Dickinson M H, Lehman F O, Sane S P. Wing rotation and the aerodynamic basis of insect flight[J].Science,1999,284(18):1954-1960. doi: 10.1126/science.284.5422.1954
    [9]
    Wang Z J. Two dimensional mechanism for insect hovering[J].Physical Rev Lett,2000,85(10):2216-2219. doi: 10.1103/PhysRevLett.85.2216
    [10]
    Sun M, Tang J.Unsteady aerodynamic force generation by a model fruit fly wing in flapping motion[J].J Exp Biol,2002,205(1):55-70.
    [11]
    Usherwood J R, Ellington C P. The aerodynamics of revolving wings—Ⅰ Model hawkmoth wings[J].J Exp Biol,2002,205(11):1547-1564.
    [12]
    Usherwood J R,Ellington C P. The aerodynamics of revolving wings—Ⅱ Propeller force coefficients from mayfly to quail[J].J Exp Biol,2002,205(11):1565-1576.
    [13]
    Sane S P, Dickinson M H. The control of flight force by a flapping wing: lift and drag production[J].J Exp Biol,2001,204(19): 2607-2626.
    [14]
    Wu J H, Sun M.Unsteady aerodynamic forces of a flapping wing[J].J Exp Biol,2004,207(8):1137-1150. doi: 10.1242/jeb.00868
    [15]
    Sun M, Wu J H.Aerodynamic force generation and power requirements in forward flight in a fruit fly with modeled wing motion[J].J Exp Biol,2003,206(17):3065-3083. doi: 10.1242/jeb.00517
    [16]
    Ellington C P.The aerodynamics of hovering insect flight—Ⅱ Morphological parameters[J].Phil Trans R Soc Lond B,1984,305(1122):17-40. doi: 10.1098/rstb.1984.0050
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