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

1995 ◽  
Vol 62 (4) ◽  
pp. 873-879 ◽  
Author(s):  
W. D. Zhu ◽  
C. D. Mote

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.

Author(s):  
W. D. Zhu ◽  
C. D. Mote

Abstract The exact expression describing the constraint force in a constrained translating string is derived using the Green’s function formulation. Discontinuity of the initial velocity at a boundary of the string due to a disturbance causes discontinuity in the constraint force history for any constraint that is not modeled by a single spring element. The discontinuities in the constraint force occur at instants when those propagating wave-fronts in the string with non-vanishing 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 the disturbance, the head location and the preload of the tape against the head. The transient response to a harmonic end excitation is compared at the steady state to the closed-form prediction of a steady forced analysis.


2012 ◽  
Vol 18 (S2) ◽  
pp. 874-875 ◽  
Author(s):  
F.E. Spada ◽  
D.F. Paul ◽  
J.S. Hammond

Extended abstract of a paper presented at Microscopy and Microanalysis 2012 in Phoenix, Arizona, USA, July 29 – August 2, 2012.


Sign in / Sign up

Export Citation Format

Share Document