Vibration Suppression of an Axially Moving Web in a Multi-Span Roll-to-Roll Microcontact Printing System
Name
42417_2018_47_ReferencePDF.pdf
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1.27 MB
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3992469c0f79194593153ef08623617f
Author(s)
Ali, Sajid
Hawwa, Muhammad A
Hardt, David E
Date Issued
November 2, 2018
Publisher
Springer Singapore
Version
Author's final manuscript
Abstract
Abstract
Background
The focus of this work was to investigate the vibration suppression of an axially moving web traveling between multiple rolls.
Method
Web axial tension and axial speed, decisive parameters in the equation of motion, that describe system dynamics, are rigorously obtained by considering the rolls-web coupled system’s dynamics. The proposed control method is based on imposing a suitable boundary condition and applying control torques at rolls, such that the vibration energy at the end of web decays. The non-linear dynamic equation is realized by applying the Hamilton’s principle. Using a finite difference and state space approach, the partial differential equation of motion is converted into a system of coupled first-order ordinary differential equations (ODE’s) in time by eliminating the spatial variable.
Results
It was shown through numerical results that by imposing a boundary condition, the vibrational energy decayed, preventing the web excessive vibrations. The effect of dimensionless speed showed a significant decrease in the amplitude and the transverse displacement reduction was more prominent as the dimensionless speed was increased. Numerical simulations are also backed by experiments, which showed a significant web oscillation reduction.
Conclusions
Results from both the experiments and numerical simulations show that the proposed method can effectively suppress the vibration of the axially moving web, thereby protecting the web from excessive oscillations.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s42417-018-0047-y
