Date of Award

2017

Document Type

Thesis

Degree Name

Master of Science in Engineering (MSE)

Department

Mechanical and Aerospace Engineering

Committee Chair

Chang-kwon Kang

Committee Member

D. Brian Landrum

Committee Member

Gang Wang

Subject(s)

Aerodynamics, Fluid-structure interaction, Biomechanics

Abstract

The unsteady aeroelastic response of an elastic plate immersed in an axial flow addresses many real-world applications and problems from plate flutter, bio-locomotion, to deforming airfoils. However, the analysis is challenging due to the coupling between the structure and fluid. This study presents a closed-form analytical solution to the two-way coupled aeroelastic response of a two-dimensional elastic plate in axial potential flow. The coupled model utilizes linearized beam theory and linearized unsteady thin airfoil theory. The coupled equations of motion are solved via Galerkin’s method, where closed-form solutions for the plate deformation are obtained by introducing Chebyshev series to solve the unsteady aerodynamics. Furthermore, closed-form solutions are obtained for the lift, thrust and power. The model is validated against results found in the literature and show good agreement. Furthermore, we present a study on the effect of chordwise flexibility on the aerodynamic performance for a typical biological flyer in forward flight.

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