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research-article

Modeling and Analysis of Web Tension Dynamics Considering Thermal and Viscoelastic Effects in Roll-to-Roll Manufacturing

[+] Author and Article Information
Kadhim A Jabbar

School of Mechanical & Aerospace Engineering, Oklahoma State University, Stillwater, OK 74075, USA
kadhim@okstate.edu

Prabhakar R. Pagilla

Professor, Department of Mechanical Engineering, Texas A & M University, College Station, TX 77843, USA
ppagilla@tamu.edu

1Corresponding author.

ASME doi:10.1115/1.4038888 History: Received January 05, 2017; Revised December 20, 2017

Abstract

A governing equation for web tension in a span considering thermal and viscoelastic effects is developed in this paper. The governing equation includes thermal strain induced by web temperature change and assumes viscoelastic material behavior. A closed-form expression for temperature distribution in the moving web is derivedwhich is utilized to obtain thermal strain. A model for web tension in a multi-span roll-to-roll system can be developed using this governing equation. To evaluate the governing equation, measured data from an industrial web process line are compared with data from model simulations. Since the viscoelastic behavior of web materials is affected by the web temperature change, elevated temperature creep and stress-relaxation experiments are conducted to determine the temperature-dependent viscoelastic parameters of the utilized viscoelastic model. Comparisons of the measured data with model simulation data are presented and discussed. An analysis of the web tension disturbance propagation behavior is also provided to compare transport behavior of elastic and viscoelastic materials.

Copyright (c) 2017 by ASME
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