Experiments and Modeling of a Single Multicopter Rotor Response to Sinusoidal Vertical Gusts

Multicopters operate in environments subject to strongly gusting winds and need good aeromechanical models to improve the aircraft. A common, convenient, assumption is that the gusting inflow is quasi-static at each instant, but this assumption has never been tested. This paper shows that there is a solid physical basis for the simplified aerodynamic models of a single multicopter response to gusts. Experiments and computations show that using the static relationship between thrust or power and aerodynamic angle of attack for a single multicopter rotor (the quasi-static assumption) in sinusoidally pitching sideflow can be used to predict the thrust or power for unsteady variation of the angle of attack if the instantaneous flow angle of the freestream is known. Vertical (angle) gusts up to 1885°/s (k = 2.2 based on the diameter) and with a wavelength longer than the rotor diameter were shown to be covered by this assumption.