Torsional vibration of a moving band

Abstract The problem of the torsional vibrations of a thin strip moving with constant speed in a longitudinal direction is formulated and solved. The effect of a point load acting on one of the thin edges is included. Some results of a parametric study show the effects of various parameters on the torsional frequency, and the occurrence of torsional buckling is predicted. In addition, an interesting behavior is shown in the case where the torsional wave propagation speed in the region “up-stream” from the point load is greater than in the “downstream” region.