A Nonlinear Wound Roll Model Allowing for Large Deformation

Author:

Benson R. C.1

Affiliation:

1. Mechanics of Flexible Structures Project, Department of Mechanical Engineering, University of Rochester, Rochester, NY 14627

Abstract

A new model is developed for predicting the internal loads in a wound roll. The principal contribution is the ability to account for large deformation. This is important for applications that require tightly packed rolls with large interlayer pressure and web compression. A nonlinear, orthotropic, plane-strain, pseudoelastic constitutive law is used. Arguments are made as to why the “material symmetry condition” does not apply to the wound roll. An efficient numerical solution scheme is developed, and a good correlation is achieved with interlayer pressure measurements available in the literature.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference15 articles.

1. Altman H. C. , 1968, “Formulas for Computing the Stresses in Center-Wound Rolls,” Journal of the Technical Association of the Paper and Pulp Industry (TAPPI), Vol. 51, No. 4, pp. 176–179.

2. Cole K. A. , and HakielZ., 1992, “A Nonlinear Wound Roll Model Accounting for Widthwise Web Thickness Nonuniformities,” Proceedings of the Web Handling Symposium, ASME Applied Mechanics Division, AMD-Vol. 149, pp. 13–24.

3. Golub, G. H., and Van Loan, C. F., 1985, Matrix Computations, Johns Hopkins University Press, Baltimore, MD.

4. Good J. K. , PfeifferJ. D., and GiachettoR. M., 1992, “Losses in Wound-On Tension in the Centerwinding of Wound Rolls,” Proceedings of the Web Handling Symposium, ASME Applied Mechanics Division, AMD-Vol. 149, pp. 1–12.

5. Good J. K. , and WuZ., 1993, “The Mechanism of Nip-lnduced Tension in Wound Rolls,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 60, pp. 942–947.

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