Viscoelastic Winding Mechanics

[+] Author and Article Information
J. Y. Lin

Mechanical Industry Research Laboratories, Industrial Technology Research Institute, Taiwan, Republic of China

R. A. Westmann

Mechanical, Aerospace and Nuclear Engineering Department, University of California, Los Angeles, Calif. 90024

J. Appl. Mech 56(4), 821-827 (Dec 01, 1989) (7 pages) doi:10.1115/1.3176177 History: Received January 08, 1988; Revised November 09, 1988; Online July 21, 2009


The viscoelastic analysis of tape systems composed of rate-dependent materials is presented. Histories for winding, winding-pause, and winding-pause-unwinding are considered. The winding problem is reduced to determining the appropriate Green’s function by numerical solution of a Volterra integral equation of the second kind. This Green’s function and integral superposition permits the evaluation of the stress and displacement fields in the tape system for any winding history. Viscoelastic unwinding is treated by the superposition of two-states — one determined from the initial condition of the tape when unwinding begins and the second state given in terms of an arbitrary external pressure evaluated by solving an integral equation. Numerical results are presented for several histories and representative material properties.

Copyright © 1989 by ASME
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