F. Gandhi et E. Hathaway, OPTIMIZED AEROELASTIC COUPLINGS FOR ALLEVIATION OF HELICOPTER GROUND RESONANCE, Journal of aircraft, 35(4), 1998, pp. 582-590
Formal optimization methods are used to determine a combination of aer
oelastic coupling parameters that can alleviate ground resonance insta
bility of a soft-in-plane rotor. Optimization at a prescribed rotation
al speed is unable to stabilize ground resonance, as the stability obj
ective function is satisfied merely by moving resonance to a lower rot
ational speed. A moving-point optimization procedure attempting to sta
bilize at the rotational speed where damping is a minimum during each
optimizer iteration is successful in stabilizing the regressing lag mo
de at moderate collective pitch, However, these optimal aeroelastic co
uplings are destabilizing near zero-thrust conditions. A multipoint op
timization procedure attempting to stabilize ground resonance simultan
eously at low as well as high collective pitch conditions if able to r
estrict the instability to small values over a broad range of variatio
n in collective pitch and eliminate the destabilizing trend at roll re
sonance with increasing collective. This configuration could then be s
tabilized completely by increasing body roll damping. Negative pitch-l
ag coupling, positive pitch-flap coupling, nap flexibility outboard of
pitch, and lag flexibility inboard of pitch were found to be most ben
eficial.