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Response to periodic disturbances in the glass redraw process

Abstract:
The redraw process is a method employed for the manufacture of glass sheets required for example special optical filters, bendable displays, or wearable devices. During this process, a glass block is fed into a heater zone and drawn off to reduce its thickness. Fluctuations in the feed speed, the draw speed or the ambient temperature can all lead to irregularities in the final thickness profile. We present a linearized theory that allows the response to any given fluctuation to be computed, and obtain a simplified model in the high-frequency limit. The resulting framework allows for fast and efficient parameter sweeps that determine the most dangerous frequencies to be avoided and provide an important complementary tool for experimentalists working in the redraw process.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s10665-020-10038-7

Authors


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Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Oxford college:
Mansfield College
Role:
Author
ORCID:
0000-0001-6882-7977



Publisher:
Springer Verlag
Journal:
Journal of Engineering Mathematics More from this journal
Volume:
121
Issue:
1
Pages:
39–56
Publication date:
2020-03-27
Acceptance date:
2020-02-14
DOI:
EISSN:
1573-2703
ISSN:
0022-0833


Language:
English
Keywords:
Pubs id:
1091030
Local pid:
pubs:1091030
Deposit date:
2020-03-04

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