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An analytical solution to the aeroelastic response of a two-dimensional elastic plate in axial potential flow

Published online by Cambridge University Press:  20 April 2018

Cory Medina  and
Chang-kwon Kang Open the ORCID record for Chang-kwon Kang [Opens in a new window]
Cory Medina
Affiliation:
Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville, Huntsville, AL 35899, USA NASA Marshall Space Flight Center, Huntsville, AL 35812, USA
Chang-kwon Kang*
Affiliation:
Department of Mechanical and Aerospace Engineering, University of Alabama in Huntsville, Huntsville, AL 35899, USA
*
†Email address for correspondence: chang-kwon.kang@uah.edu
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Abstract

This paper presents a novel analytical model that predicts the two-way coupled aeroelastic response of a linear elastic plate in axial potential flow, including the effects of plate curvature. The plate deforms in dynamic balance of the inertia, elastic, and aerodynamic forces. Analytical solutions are obtained by deriving the generalized aerodynamic force with respect to the beam eigenfunctions, which are expressed in a Chebyshev polynomial expansion. Exact expressions are derived for the generated lift, thrust and required input power. The derived solution agrees well with the results reported in the literature for plate flutter and flapping wings.

JFM classification

Aerodynamics: Aerodynamics Biological Fluid Dynamics: Swimming/flying
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 845 , 25 June 2018 , R3
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Copyright
© Cambridge University Press 2018. This is a work of the U.S. Government and is not subject to copyright protection in the United States. 

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