On the Stress Analysis of Cylindrically Wound Packages: The Case of a Warp Beam 1

Abstract

The state of stress in a warp beam is investigated through continuum (isotropic and anisotropic) models. Beddoe's [2] model (cylindrically anisotropic) is found to give an acceptable description. The anisotropy parameters are estimated by comparing the calculated results with the experimental data. Influence of prolonged storage at higher temperatures (up to 130°F) on the barrel pressure and flange thrust are discussed. An auxiliary (boundary value) problem is formulated to account for these thermal effects; its solution gives results which are comparable to those observed experimentally. Means of estimating the mechanical and thermomechanical parameters of the system are discussed in some detail. The analyses can be adapted to model the state of stress in the cylindrically wound packaging of sheet-like material such as paper and polymeric films.

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