Vol. 16, No. 5, 2021

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A summary of boundary conditions to govern web lateral movement in roll-to-roll process machines

Yao Ren, Jinxin Shi, Sheng Pan and James Good

Vol. 16 (2021), No. 5, 595–610
Abstract

The lateral deflections of webs in roll-to-roll (R2R) process machines can affect the quality of the manufacturing process. The lateral registration of the web in successive R2R processes can determine whether a product will function as designed. Herein a unified theory is presented that explains how imperfections in rollers, their alignment and length nonuniformity (camber) in webs can affect the steady state lateral deflection and hence registration. Enhanced understanding of steady state lateral deflection of webs transiting free spans and rollers will provide insight for advanced control methods that account for the effects of web deformation in minimizing registration error. The validated results show that the lateral deflections can be predicted with closed form solutions when the slippage between the web and rollers is minimal. In those cases kinematic boundary conditions will be presented which govern the lateral deflection of the web. When slippage is present it will be demonstrated the boundary conditions which govern the lateral deflection must be determined using dynamic simulation.

Dedicated to the memory of John J. Shelton

Keywords
web handling, roll-to-roll, boundary condition, process machines
Milestones
Received: 3 January 2021
Revised: 1 June 2021
Accepted: 9 August 2021
Published: 12 March 2022
Authors
Yao Ren
School of Mechanical and Aerospace Engineering
Oklahoma State University
Stillwater, OK 74078
United States
Jinxin Shi
School of Mechanical and Aerospace Engineering
Oklahoma State University
Stillwater, OK 74078
United States
Sheng Pan
School of Mechanical and Aerospace Engineering
Oklahoma State University
Stillwater, OK 74078
United States
James Good
School of Mechanical and Aerospace Engineering
Oklahoma State University
Stillwater, OK 74078
United States