F. Gandhi et I. Chopra, ANALYSIS OF BEARINGLESS MAIN ROTOR AEROELASTICITY USING AN IMPROVED TIME-DOMAIN NONLINEAR ELASTOMERIC DAMPER MODEL, Journal of the American Helicopter Society, 41(3), 1996, pp. 267-277
An elastomeric damper model comprising a nonlinear spring and a Kelvin
chain is augmented to represent experimentally observed degradation i
n G '' (damping) at very low dynamic amplitudes, and occurrence of lim
it cycle oscillations (jitter) due to applied perturbations. The dampe
r model is described in the time domain by a nonlinear differential eq
uation. Integration into a bearingless rotor comprehensive analysis re
sults in the addition of damper states to the rotor/fuselage state vec
tor, and augmentation of the baseline modal mass, damping and stiffnes
s matrices, and load vector. The influence of the damper is examined o
n bearingless rotor aeroelastic behavior, including aeromechanical sta
bility in forward flight. Damper stiffness results in a significant va
riation of second lag frequency with advance ratio. The nonlinear char
acterization of the damper results in greater stability augmentation o
f the lag mode at low advance ratios than at higher advance ratios.