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Proceedings Paper

Stability in hovering ornithopter flight
Author(s): John M. Dietl; Ephrahim Garcia
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Paper Abstract

The quasi-steady aerodynamics model is coupled to a dynamic model of ornithopter flight. Previously, the combined model has been used to calculate forward flight trajectories, each a limit cycle in the vehicle's states. The limit cycle results from the periodic wing beat, producing a periodic force while on the cycle's trajectory. This was accomplished using a multiple shooting algorithm and numerical integration in MATLAB. An analysis of hover, a crucial element to vertical takeoff and landing in adverse conditions, follows. A method to calculate plausible wing flapping motions and control surface deflections for hover is developed, employing the above flight dynamics model. Once a hovering limit cycle trajectory is found, it can be linearized in discrete time and analyzed for stability (by calculating the trajectory's Floquet multipliers a type of discrete-time eigenvalue) are calculated. The dynamic mode shapes are discussed.

Paper Details

Date Published: 19 March 2008
PDF: 8 pages
Proc. SPIE 6930, Industrial and Commercial Applications of Smart Structures Technologies 2008, 69300N (19 March 2008); doi: 10.1117/12.776482
Show Author Affiliations
John M. Dietl, Cornell Univ. (United States)
Ephrahim Garcia, Cornell Univ. (United States)

Published in SPIE Proceedings Vol. 6930:
Industrial and Commercial Applications of Smart Structures Technologies 2008
L. Porter Davis; Benjamin Kyle Henderson; M. Brett McMickell, Editor(s)

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