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Aeromechanics of passive rotation in flapping flight

  • J. P. WHITNEY (a1) and R. J. WOOD (a1)

Flying insects and robots that mimic them flap and rotate (or ‘pitch’) their wings with large angular amplitudes. The reciprocating nature of flapping requires rotation of the wing at the end of each stroke. Insects or flapping-wing robots could achieve this by directly exerting moments about the axis of rotation using auxiliary muscles or actuators. However, completely passive rotational dynamics might be preferred for efficiency purposes, or, in the case of a robot, decreased mechanical complexity and reduced system mass. Herein, the detailed equations of motion are derived for wing rotational dynamics, and a blade-element model is used to supply aerodynamic force and moment estimates. Passive-rotation flapping experiments with insect-scale mechanically driven artificial wings are conducted to simultaneously measure aerodynamic forces and three-degree-of-freedom kinematics (flapping, rotation and out-of-plane deviation), allowing a detailed evaluation of the blade-element model and the derived equations of motion. Variations in flapping kinematics, wing-beat frequency, stroke amplitude and torsional compliance are made to test the generality of the model. All experiments showed strong agreement with predicted forces and kinematics, without variation or fitting of model parameters.

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T. L. Daniel & S. A. Combes 2002 Flexing wings and fins: bending by inertial or fluid-dynamic forces? Intgr. Comp. Biol. 42 (5), 10441049.

M. H. Dickinson , F.-O. Lehmann & S. P. Sane 1999 Wing rotation and the aerodynamic basis of insect flight. Science 284, 19541960.

D. B. Doman & M. W. Oppenheimer 2009 Dynamics and control of a minimally actuated biomimetic vehicle: Part I. Aerodynamic model. In Proceedings of the AIAA Guidance, Navigation, and Control Conference, San Francisco, CA.

C. P. Ellington 1984 The aerodynamics of insect flight. II. Morphological parameters. Phil. Trans. R. Soc. Lond. B 305, 1740.

C. F. Graetzel , S. N. Fry , F. Beyeler , Y. Sun & B. J. Nelson 2008 Real-time microforce sensors and high speed vision system for insect flight control analysis. In Experimental Robotics: The 10th International Symposium on Experimental Robotics, p. 451. Springer.

D. Lentink & M. H. Dickinson 2009 Rotational accelerations stabilize leading edge vortices on revolving fly wings. J. Exp. Biol. 212 (16), 2705.

U. Pesavento & Z. J. Wang 2009 Flapping wing flight can save aerodynamic power compared to steady flight. Phys. Rev. Lett. 103 (11), 118102.

L. Ristroph , G. Berman , A. Bergou , Z. J. Wang & I. Cohen 2009 Automated hull reconstruction motion tracking (HRMT) applied to sideways maneuvers of free-flying insects. J. Exp. Biol. 212, 13241335.

S. P. Sane 2003 The aerodynamics of insect flight. J. Exp. Biol. 206 (23), 4191.

S. M. Walker , A. L. R. Thomas & G. K. Taylor 2009 Photogrammetric reconstruction of high-resolution surface topographies and deformable wing kinematics of tethered locusts and free-flying hoverflies. J. R. Soc. Interface 6 (33), 351.

Z. J. Wang , J. Birch & M. H. Dickinson 2004 Unsteady forces and flows in low Reynolds number hovering flight: two-dimensional computations vs robotic wing experiments. J. Exp. Biol. 207, 449.

R. J. Wood 2008 The first takeoff of a biologically inspired at-scale robotic insect. IEEE Trans. Robot. 24, 341347.

R. J. Wood , K. J. Cho & K. Hoffman 2009 A novel multi-axis force sensor for microrobotics applications. Smart Mater. Struct. 18, 125002.

J. H. Wu & M. Sun 2004 Unsteady aerodynamic forces of a flapping wing. J. Exp. Biol. 207, 11371150.

J. Young , S. M. Walker , R. J. Bomphrey , G. K. Taylor & A. L. R. Thomas 2009 Details of insect wing design and deformation enhance aerodynamic function and flight efficiency. Science 325 (5947), 15491552.

Z. Zhang 2000 A flexible new technique for camera calibration. IEEE Trans. Pattern Anal. Mach. Intell. 22 (11), 13301334.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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