"Stability and power optimality in time-periodic flapping wing structur" by Bret Stanford, Philip Beran et al.

U.S. Department of Defense

 

Document Type

Article

Date of this Version

2013

Citation

Journal of Fluids and Structures 38 2013

Comments

U S. Government work.

Abstract

This paper investigates the nonlinear dynamics of a vehicle with two flexible flapping wings. The body dynamics and the wings' deformation are monolithically grouped into a single system of equations, with aerodynamics accounted for by a quasi-steady blade element method. A periodic shooting method is then used to locate closed orbits of this non-autonomous system, and Floquet multipliers assess the linearized stability about the nonlinear orbit. This framework is then exposed to a gradient based optimizer, in order to quantify the role of wing planform variables, wing structure variables, and kinematic actuation variables in obtaining vehicles with superior open-loop stability characteristics, and/or low-power requirements.

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