Corrugation and Buckling Defects in Wound Rolls
- 13 July 2005
- journal article
- Published by ASME International in Journal of Manufacturing Science and Engineering
- Vol. 128 (1), 56-64
- https://doi.org/10.1115/1.2113068
Abstract
Sheet metal, paper, and polymer webs are often stored and processed as large rolls comprising thousands of layers. Depending on the elastic properties of the web material, the roll’s dimensions, the type of core, and the winding tension, the stresses that develop within the roll can be sufficiently high to cause local or gross buckling defects to form. For instance, the cylindrical core onto which the web is wound can collapse, a failure mode that is termed “v-buckling.” In other cases, while the core might remain intact, a group of layers interior to the roll can wrinkle into a near-sinusoidal corrugated pattern around the circumference. This paper examines such “starring” defects analytically and experimentally. Measurements on a laboratory-scale web transport system are used to validate the model, and to identify conditions where no defects occur and the roll has acceptable quality, where starring patterns develop, and where v-buckling occurs. For particular core and web materials, the tension and diameter are the primary variables that influence the roll’s stability, and demarcations between stable and buckled configurations are identified in the tension-diameter design space. A model for the elastic stability of the roll-core system is developed, in which the corrugated layers are treated as multiple rings subjected to the resultant pressure generated by the roll’s internal stresses, and to the elastic support provided by the core and neighboring web layers. At the onset of corrugation, adjacent web layers couple through surface contact which is incorporated in the model as an elastic shear layer.Keywords
This publication has 13 references indexed in Scilit:
- Analysis of Core Buckling Defects in Sheet Metal Coil ProcessingJournal of Manufacturing Science and Engineering, 2003
- Stress Field in Finite Width Axisymmetric Wound RollsJournal of Applied Mechanics, 2001
- Shear stiffness of a solid–solid multicontact interfaceProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1998
- STRUCTURAL DAMPING IN LAMINATED BEAMS DUE TO INTERFACIAL SLIPJournal of Sound and Vibration, 1997
- A Nonlinear Wound Roll Model Allowing for Large DeformationJournal of Applied Mechanics, 1995
- Determining the Stress Distributions in Wound Reels of Magnetic Tape Using a Nonlinear Finite-Difference ApproachJournal of Applied Mechanics, 1988
- Resolution of a Core Problem in Wound RollsJournal of Applied Mechanics, 1980
- The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditionsJournal of Sound and Vibration, 1969
- Theory of Vibratory Bending for Elastic and Viscoelastic Layered Finite-Length BeamsJournal of Applied Mechanics, 1965
- The Stability Under Axial Compression and Lateral Pressure of Circular-Cylindrical Shells With a Soft Elastic CoreJournal of the Aerospace Sciences, 1962