Dynamic Modeling of a Rotating Insect Wing

Dynamic Modeling of a Rotating Insect Wing

Jankauski, M.
Shen, I.Y.

2014-08-12

A dynamic model of an insect wing is developed treating the wing as a deformable body subject to three-dimensional finite rotation about a fixed point at the base of the wing. Discretization of a stationary wing is conducted via finite element analysis to determine the natural frequencies and mode shapes of the wing. By formulating and discretizing the kinetic and potential energy, we derive the equation of motion governing the modal response of a flapping wing using Lagrange’s equation. The equation of motion indicates Coriolis, Euler, and centrifugal forces resulting from the finite rotation are responsible for the wings elastic deformation. Numerical integration reveals a beat phenomenon that arises from the Coriolis excitation in the first vibration mode. The beat phenomenon is insensitive to yaw amplitudes and non-zero initial conditions but diminishes in the presence of damping. The beat phenomenon can potentially be used to estimate gyroscopic forces.

IMAV2014
MAV
insect wing

https://doi.org/10.4233/uuid:6c448472-2ac5-4131-afd5-9f126e7cc832

Conference proceedings

conference paper

(c) 2014 Jankauski, M.; Shen, I.Y.