Non-linear vibration of a torsional system driven by a Hooke's joint

Non-linear vibration in a driveline which incorporates a Hooke's joint is p resented in this paper. In particular, torsional vibration due to fluctuati ng angular velocity ratio across the joint is examined. Linearized equation s are used for the prediction of critical speed ranges where parametric ins tabilities characterized by exponential build up of torsional response ampl itudes occur. Predicted instabilities indicate the range of driveshaft spee ds to be avoided during the design of a driveline which employs a Hooke's j oint. Numerical simulations and bifurcation analysis performed on the full non-linear equations further demonstrate the existence of parametric, quasi -periodic and chaotic motion. Onset of chaotic motion was shown to be chara cterized by a quasi-periodic route. (C) 2000 Academic Press.