Parametric Representation and Shape Optimization of a Wing for Flapping Micro Air Vehicles

Abstract

of wing planform on the aerodynamic performance of a rigid wing in forward flapping flight and hovering configurations were investigated in this paper. The planform design space was parameterized using a new, modified Zimmerman method based on low aspect ratio Zimmerman planform designs. The aerodynamic forces on the wing were calculated using Peters’ aerodynamics with an assumed inflow coupled with blade element theory. A multiobjective optimization approach was taken to find the best planform designs for three objectives: wing area, peak power input, and an aerodynamic force based on the kinematic configuration‐lift for hovering and thrust for forward flapping flight. A gradientbased optimizer and the -constraint method were used to find the Pareto front of optimal designs.