The free and forced vibration of a moving medium is examined in an application where distributed friction guiding is used to control lateral position passively. Subambient pressure features formed in the guides intentionally modify the naturally occurring self-pressurized air bearing and increase the contact force between the medium and the guide’s surface. These features increase friction to a level beyond that achievable based on the nominal wrap pressure. The moving medium is modeled as a beam that is transported over frictional regions and subjected to prescribed boundary disturbances arising from runout of a supply or take-up roll. For axial transport at a speed that is high compared to the velocity of lateral vibration, Coulomb friction between the guides and the moving medium can be well approximated by a derived expression for equivalent viscous damping. The equation of motion is developed for the cases of a single cylindrical guide and of a multiplicity of guides having arbitrary placement. The level of equivalent damping for each mode decreases with transport speed, and critical speeds exist where each vibration mode transitions between the overdamped and underdamped regimes. Parameter studies in the contact pressure, transport speed, and guide geometry identify preferred design configurations for maximizing dissipation in particular modes and for attenuating high-frequency response.
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June 2007
Technical Papers
Surface Friction Guiding for Reduced High-Frequency Lateral Vibration of Moving Media
V. Kartik,
V. Kartik
Mem. ASME
IBM Research Laboratory
, CH-8803 Rueschlikon, Zurich, Switzerland
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J. A. Wickert
J. A. Wickert
Fellow ASME
Department of Mechanical Engineering,
e-mail: wickert@cmu.edu
Carnegie Mellon University
, Pittsburgh, PA 15213
Search for other works by this author on:
V. Kartik
Mem. ASME
IBM Research Laboratory
, CH-8803 Rueschlikon, Zurich, Switzerland
J. A. Wickert
Fellow ASME
Department of Mechanical Engineering,
Carnegie Mellon University
, Pittsburgh, PA 15213e-mail: wickert@cmu.edu
J. Vib. Acoust. Jun 2007, 129(3): 371-379 (9 pages)
Published Online: October 25, 2006
Article history
Received:
May 3, 2006
Revised:
October 25, 2006
Citation
Kartik, V., and Wickert, J. A. (October 25, 2006). "Surface Friction Guiding for Reduced High-Frequency Lateral Vibration of Moving Media." ASME. J. Vib. Acoust. June 2007; 129(3): 371–379. https://doi.org/10.1115/1.2732354
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