The exact expression describing the contact force between an axially moving flexible strip and a one-sided constraint is derived using the Green’s function formulation. Discontinuity of the initial velocity at a boundary of the strip due to a disturbance, causes discontinuity in the contact force history at any constraint that is not modeled by a single spring element. The discontinuities in the contact force occur at the instants when those propagating wavefronts in the strip with nonvanishing slope interact with the constraint. A model of a magnetic tape-recording head system is analyzed. Tape-head contact loss is predicted, depending on the amplitude and frequency of a disturbance, the head location, and the preload of the tape against the head.
Propagation of Boundary Disturbances in an Axially Moving Strip in Contact With Rigid and Flexible Constraints
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Zhu, W. D., and Mote, C. D., Jr. (December 1, 1995). "Propagation of Boundary Disturbances in an Axially Moving Strip in Contact With Rigid and Flexible Constraints." ASME. J. Appl. Mech. December 1995; 62(4): 873–879. https://doi.org/10.1115/1.2896014
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