Propagation of Boundary Disturbances in an Axially Moving Strip in Contact With Rigid and Flexible Constraints

[+] Author and Article Information
W. D. Zhu, C. D. Mote

Department of Mechanical Engineering, University of California at Berkeley, Berkeley, CA 94720

J. Appl. Mech 62(4), 873-879 (Dec 01, 1995) (7 pages) doi:10.1115/1.2896014 History: Received November 19, 1993; Revised June 06, 1994; Online October 30, 2007


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.

Copyright © 1995 by The American Society of Mechanical Engineers
Topics: Strips , Force , Springs
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