Abstract
A theory is presented for the air flow generation caused by centrifugal forces acting in a vibrating PVF2 multimorph fan in the resonant condition. The vibration system is approximated by a mass acting at the center of inertial force against an elastic plate (the cantilever wing arm). The effect of air was represented by a non-linear dissipative load in the oscillating system. The relevant parameters of this system are then determinable, particularly the vibration amplitude and the wing tip velocity. These parameters determine the generated air flow velocity and volume flow rate. Air flow velocity is predicted to vary inversely as wing length, and the air volume flow rate to remain constant. These predictions agree well with experiment, particularly for larger wing lengths of the fan. Useful design information was obtained.
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