Lateral Dynamics of a Moving Web With Geometrical Imperfection
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Published:2001-06-26
Issue:1
Volume:124
Page:25-34
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ISSN:0022-0434
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Container-title:Journal of Dynamic Systems, Measurement, and Control
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language:en
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Short-container-title:
Affiliation:
1. Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, 137 Reber Building, University Park, PA 16802
Abstract
In this paper, an analysis is provided for the steering of a long, warped web that is transported between two rollers. The web is modeled using the Timoshenko beam theory, which admits small amounts of elastic bending and transverse shearing. Closed-form solutions are obtained for three commonly encountered forms of in-plane imperfection: (1) a splice, (2) a sinusoidal warpage, and (3) a cambered web with a constant radius-of-curvature. The fact that partial wrinkling in the web can affect the lateral dynamics is demonstrated in a simple example. This analysis reveals information on the phenomenon of weave regeneration and will be useful to designers of transport systems who wish to control the lateral tracking of webs with geometrical flaws.
Publisher
ASME International
Subject
Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering
Reference20 articles.
1. Shelton, J. J., and Reid, K. N., 1971, “Lateral Dynamics of a Real Moving Web,” ASME J. Dyn. Syst., Meas., Control, 93, No. 3, pp. 180–186. 2. Shames, I. H., and Dym, C. L., 1985, Energy and Finite Element Methods in Structural Mechanics, Hemisphere, New York. 3. Shelton, J. J., and Reid, K. N., 1971, “Lateral Dynamics of an Idealized Moving Web,” ASME J. Dyn. Syst., Meas., Control, 93, No. 3, pp. 187–192. 4. Soong, T. C., and Li, C., 1979, “An Elastic Analysis of Multiroll Endless Web Systems,” ASME J. Dyn. Syst., Meas., Control, 101, No. 3, pp. 308–313. 5. Sievers, L., Balas, M. J., and von Flotow, A., 1988, “Modeling of Web Conveyance Systems for Multivariable Control,” IEEE Trans. Autom. Control, 33, No. 6, pp. 524–531.
Cited by
25 articles.
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