STABILITY ANALYSIS AND COMPLEX DYNAMICS OF A GEAR-PAIR SYSTEM SUPPORTED BY A SQUEEZE FILM DAMPER

The stability properties of periodic steady state response of a nonlin ear geared rotordynamic system are investigated. The nonlinearity aris es because one support of the system includes a cavitated squeeze film damper, while the excitation is caused by mass unbalance. The dynamic al model and the procedure which leads to periodic steady state respon se of the system examined have been developed in an earlier paper. Her e, the emphasis is placed on analyzing the stability characteristics o f located periodic solutions. Also, within ranges of the excitation fr equency where no stable periodic solutions are detected, the long time behavior of the system is investigated by direct integration of the e quations of motion. It is shown that large order subharmonic, quasiper iodic and chaotic motions may coexist with unstable periodic response in these frequency ranges. Finally, attention is focused on practical consequences of these motions.