Accelerating through resonance of a universal joint drive line

Document Type


Publication Date


Publication Title

Conference & Exposition on Structural Dynamics

Conference Name

International Modal Analysis Conference - IMAC 2007


A driving shaft coupled to a driven shaft by a universal joint is treated. Initial non-alignment of the shafts is assumed which leads to a forced motion problem. For driving at constant velocity the driven shaft experiences an angular velocity which varies harmonically with time. This can give rise to parametric instabilities and a central question of this work is whether one can accelerate through these as well as forced motion instabilities. The system modeling is as follows. The shafts are taken to be rigid and the motion is restricted to one plane. The bearings are modeled by using springs and viscous dampers. The driving angular velocity is taken to be time-dependent. The governing differential equations have non-periodic time-dependent coefficients and are solved using a finite difference scheme. The driving angular velocity is taken to start below the resonance values and then to linearly increase through them. For certain torque and damping values it is shown that parametric resonances are seen for slow angular velocity variations but they are not observed for practically feasible fast variations, thus raising the possibility that one can accelerate through them. No practically feasible sweep rates were found for the forced motion resonances.

Rights Statement

IMAC 2007