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TECHNICAL PAPERS

An Orthotropic Viscoelastic Winding Model Including a Nonlinear Radial Stiffness

[+] Author and Article Information
W. R. Qualls, J. K. Good

Department of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK 74078

J. Appl. Mech 64(1), 201-208 (Mar 01, 1997) (8 pages) doi:10.1115/1.2787274 History: Received September 11, 1995; Revised March 23, 1996; Online October 25, 2007

Abstract

A realistic and adaptive viscoelastic model for prediction of transient wound roll stress distributions is presented. The web material is taken to be orthotropic with a nonlinear radial stiffness dependent upon interlayer pressure. Viscoelastic behavior is represented by a generalized Maxwell model for creep written as a convolution integral. Numerical solutions to the resulting integral boundary value problem give both initial and transient stress distributions within the wound roll. The model is successfully compared to the analytical solution for a simple case of isotropy as well as to published works on this topic. In contrasting the solutions, the advantages and adaptability of this formulation will be readily seen.

Copyright © 1997 by The American Society of Mechanical Engineers
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