Sf. Asokanthan et Mc. Hwang, TORSIONAL INSTABILITIES IN A SYSTEM INCORPORATING A HOOKES JOINT, Journal of vibration and acoustics, 118(3), 1996, pp. 368-374
Dynamic stability analysis of a driveline which incorporates a Hooke's
joint is presented in this paper. In particular torsional instabiliti
es due to fluctuating angular velocity ratio across the joint are exam
ined. The method of averaging is used to establish the critical speed
ranges by considering the linearized equations which govern the torsio
nal motion of the system. Within these ranges, parametric instability
characterized by exponential build up of response amplitudes of the to
rsional modes occur. Closed from conditions for onset of sub-harmonic
as well as sum-type combination resonance have been established. The s
ignificance of the sum-type combination resonance in a typical diesel
hydraulic locomotive driveline has been demonstrated. Difference-type
combination resonance has been shown to be absent. The instability con
ditions indicate the range of driveshaft speeds to be avoided during t
he design of a driveline which employs a Hooke's joint.