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A.L.R. Thomas G.K. Taylor (2002)
Animal flight dynamics. II. Longitudinal stability in flapping flightJ. Theor. Biol., 214
G. Taylor, Adrian Thomas (2003)
Dynamic flight stability in the desert locust Schistocerca gregariaJournal of Experimental Biology, 206
C. Ellington, C. Berg, A. Willmott, Adrian Thomas (1996)
Leading-edge vortices in insect flightNature, 384
G. Gebert, Phillip Gallmeier, J. Evers (2002)
Equations of Motion for Flapping Flight
M. Sun, Jian Tang (2002)
Unsteady aerodynamic force generation by a model fruit fly wing in flapping motion.The Journal of experimental biology, 205 Pt 1
A. Thomas, G. Taylor (2001)
Animal flight dynamics I. Stability in gliding flight.Journal of theoretical biology, 212 3
C.P. Ellington (1984)
The aerodynamics of hovering insect flight. IIIKinematics. Phil. Trans. R. Soc. Lond. B, 305
C.P. Ellington (1984)
The aerodynamics of hovering insect flight. II. Morphological parametersPhil. Trans. R. Soc. Lond. B, 305
G. Gebert (2002)
Equations of motion for flapping flight. AIAA Paper
C. Ellington, K. Machin, T. Casey (1990)
Oxygen consumption of bumblebees in forward flightNature, 347
C. Paradine (1966)
Handbook of Mathematical Tables and FormulasThe Mathematical Gazette, 50
C. Ellington (1984)
The Aerodynamics of Hovering Insect Flight. II. Morphological ParametersPhilosophical Transactions of the Royal Society B, 305
M. Sun, Yan Xiong (2005)
Dynamic flight stability of a hovering bumblebeeJournal of Experimental Biology, 208
A. Ennos (1989)
The kinematics and aerodynamics of the free flight of some dipteraThe Journal of Experimental Biology, 142
M. Dickinson, F. Lehmann, S. Sane (1999)
Wing rotation and the aerodynamic basis of insect flight.Science, 284 5422
G. Taylor, A. Thomas (2002)
Animal flight dynamics II. Longitudinal stability in flapping flight.Journal of theoretical biology, 214 3
C. Ellington (1984)
The Aerodynamics of Hovering Insect Flight. III. KinematicsPhilosophical Transactions of the Royal Society B, 305
J.L. Meriam (1975)
Dynamics
C. Ellington (1984)
The Aerodynamics of Hovering Insect Flight. IV. Aeorodynamic MechanismsPhilosophical Transactions of the Royal Society B, 305
B. Etkin, T. Teichmann (1959)
Dynamics of Flight: Stability and ControlPhysics Today, 12
O. Heinisch (1966)
Burington, R.S.: Handbook of Mathematical Tables and Formulas. 4. Aufl., McGraw‐Hill Book Company, New York, London 1965. XI + 423 S., Preis $ 3,25Biometrische Zeitschrift, 8
Abstract The equations of motion of an insect with flapping wings are derived and then simplified to that of a flying body using the “rigid body” assumption. On the basis of the simplified equations of motion, the longitudinal dynamic flight stability of four insects (hoverfly, cranefly, dronefly and hawkmoth) in hovering flight is studied (the mass of the insects ranging from 11 to 1,648 mg and wingbeat frequency from 26 to 157 Hz). The method of computational fluid dynamics is used to compute the aerodynamic derivatives and the techniques of eigenvalue and eigenvector analysis are used to solve the equations of motion. The validity of the “rigid body” assumption is tested and how differences in size and wing kinematics influence the applicability of the “rigid body” assumption is investigated. The primary findings are: (1) For insects considered in the present study and those with relatively high wingbeat frequency (hoverfly, drone fly and bumblebee), the “rigid body” assumption is reasonable, and for those with relatively low wingbeat frequency (cranefly and howkmoth), the applicability of the “rigid body” assumption is questionable. (2) The same three natural modes of motion as those reported recently for a bumblebee are identified, i.e., one unstable oscillatory mode, one stable fast subsidence mode and one stable slow subsidence mode. (3) Approximate analytical expressions of the eigenvalues, which give physical insight into the genesis of the natural modes of motion, are derived. The expressions identify the speed derivative M u (pitching moment produced by unit horizontal speed) as the primary source of the unstable oscillatory mode and the stable fast subsidence mode and Z w (vertical force produced by unit vertical speed) as the primary source of the stable slow subsidence mode.
"Acta Mechanica Sinica" – Springer Journals
Published: Jun 1, 2007
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