K. Ono et T. Okada, SELF-EXCITED VIBRATORY SYSTEM FOR A FLUTTER MECHANISM, JSME international journal. Series C, mechanical systems, machine elements and manufacturing, 41(3), 1998, pp. 621-629
This paper describes theory and experimental verification of a self-ex
cited vibratory system which can excite lower mode of the original pas
sive system of a flutter wing mechanism as a hypothetical model of ins
ect wings. In order to realize a self-excitation system of natural mod
e of vibration, we proposed two kinds of positive velocity feedback wi
th nonlinear negative damping: Van der Pol (VDP) type and negative Cou
lomb friction (NCF) type. In order to drive only the lower mode, a low
pass filter and cross feedback methods were proposed. It was found th
at the analytical results were in good agreement with the experimental
ones, and that the NCF type can excite the limit cycle motion more ra
pidly than the VDP type. Robustness of the self-excited flutter motion
to the change of mass parameter was also demonstrated.