Three-Dimensional Topologies of Compliant Flapping Mechanisms

Abstract

This paper outlines the use of a three-dimensional topology optimization scheme for the conceptual design of compliant flapping micro air vehicle mechanisms. Each trilinear finite element within the design domain is assigned to a density variable that smoothly interpolates between 0 (void) and 1 (solid), using a well-known methodology. A mechanism topology is found that converts a series of sinusoidal actuation point loads along the lower surface into a dynamic structural deformation, which in turn provides the desired flapping kinematics. Specifically, a mechanism is desired that can independently control more than one flapping rotation (i.e., flapping and feathering) at the same time.