A method for extracting delamination zones and deformation quantities of paperboard during folding
(2019) In Master's Theses in Mathematical Sciences FMAM05 20191Mathematics (Faculty of Engineering)
- Abstract (Swedish)
- Denna studie har genomförts på Tetra Pak för att studera deformation i vätskekartong under vikning.
När en förpackning formas i fyllmaskinerna viks kartongen enligt biglinjerna. Det finns ett stort intresse av att studera vikprocessen då den är avgörande för den slutgiltiga kvaliteten av förpackningen. Matematiska modeller används för att simulera kartong men dessa kräver verkliga mätningar och data för kalibrering och verifikation.
En metod som använder sig av det optiska flödet i videosekvenser av vikningsprocessen av kartong, som fångar de geometriska förändringarna som materialet utsätts för, har tagits fram. Fält såsom förskjutning, deformationsgradient, töjningstensor, Jacobianen av deformationen, med mera, kan fås för faktiska... (More) - Denna studie har genomförts på Tetra Pak för att studera deformation i vätskekartong under vikning.
När en förpackning formas i fyllmaskinerna viks kartongen enligt biglinjerna. Det finns ett stort intresse av att studera vikprocessen då den är avgörande för den slutgiltiga kvaliteten av förpackningen. Matematiska modeller används för att simulera kartong men dessa kräver verkliga mätningar och data för kalibrering och verifikation.
En metod som använder sig av det optiska flödet i videosekvenser av vikningsprocessen av kartong, som fångar de geometriska förändringarna som materialet utsätts för, har tagits fram. Fält såsom förskjutning, deformationsgradient, töjningstensor, Jacobianen av deformationen, med mera, kan fås för faktiska kartongprover. Vidare kan delamineringszoner och öppningar i kartongen fås automatiskt. Alla mått och kvantiteter kan ges som en funktion av tid eller vikningsvinkel, vilket möjliggör studier av hur dessa translaterar och propagerar.
Metoden har verifierats genom att applicera den på renderingar av simuleringar av vikningsprocessen, där facit finns tillgängligt.
Kvantitativa och kvalitativa analyser har gjorts på videosekvenser av vikningsprocessen av vätskekartong. De mest relevanta kvantiteterna, fälten, och måtten har extraherats för alla prover. En analys av delamineringszonsarean som en funktion av vikningsvinkeln har också genomförts. (Less) - Abstract
- This study has been conducted at Tetra Pak to study deformation in liquid packaging paperboard during the folding process.
When a package is formed in the filling machines, the paperboard is folded according to the crease lines. It is of great interest to study the folding process since it is crucial to the final quality of the package. Mathematical models are used for simulation of paperboard but they require real world measurements and data for calibration and verification.
A method utilizing the optical flow in video sequences of the folding process of paperboard, which captures the geometrical changes that the material undergoes during folding, has been developed. Fields such as displacement, deformation gradient, strain tensor,... (More) - This study has been conducted at Tetra Pak to study deformation in liquid packaging paperboard during the folding process.
When a package is formed in the filling machines, the paperboard is folded according to the crease lines. It is of great interest to study the folding process since it is crucial to the final quality of the package. Mathematical models are used for simulation of paperboard but they require real world measurements and data for calibration and verification.
A method utilizing the optical flow in video sequences of the folding process of paperboard, which captures the geometrical changes that the material undergoes during folding, has been developed. Fields such as displacement, deformation gradient, strain tensor, the Jacobian of the deformation, and others, can be obtained for actual paperboard samples. Furthermore, delamination zones and openings in the paperboard can be obtained automatically. All metrics and quantities can be given as a function of time, or folding angle, allowing for study of the translation and propagation of these.
The method has been verified by applying it on rendered simulations of the folding process, of which ground truth data is available.
Quantitative and qualitative analyses have been performed on video sequences of the folding process of paperboard. The most relevant quantities, fields, and metrics have been extracted for all samples. An analysis of delamination zone area as a function of folding angle has also been conducted. (Less) - Popular Abstract (Swedish)
- För att garantera kvaliteten och hållbarheten på livsmedel vill man på Tetra Pak, som är världsledande inom livsmedelsförpackningar, veta vad som händer med förpackningsmaterialet då förpackningen formas. En ny metod har tagits fram som automatiskt mäter hur ett material beter sig i verkligheten via videor på materialet i rörelse.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/8993175
- author
- Langlais, Shan LU
- supervisor
- organization
- course
- FMAM05 20191
- year
- 2019
- type
- H2 - Master's Degree (Two Years)
- subject
- keywords
- liquid paperboard package, continuum mechanics, optical flow, deformation gradient, strain, delamination, folding, image analysis
- publication/series
- Master's Theses in Mathematical Sciences
- report number
- LUTFMA-3385-2019
- ISSN
- 1404-6342
- other publication id
- 2019:E29
- language
- English
- id
- 8993175
- date added to LUP
- 2019-10-08 13:54:09
- date last changed
- 2019-10-08 13:54:09
@misc{8993175,
abstract = {{This study has been conducted at Tetra Pak to study deformation in liquid packaging paperboard during the folding process.
When a package is formed in the filling machines, the paperboard is folded according to the crease lines. It is of great interest to study the folding process since it is crucial to the final quality of the package. Mathematical models are used for simulation of paperboard but they require real world measurements and data for calibration and verification.
A method utilizing the optical flow in video sequences of the folding process of paperboard, which captures the geometrical changes that the material undergoes during folding, has been developed. Fields such as displacement, deformation gradient, strain tensor, the Jacobian of the deformation, and others, can be obtained for actual paperboard samples. Furthermore, delamination zones and openings in the paperboard can be obtained automatically. All metrics and quantities can be given as a function of time, or folding angle, allowing for study of the translation and propagation of these.
The method has been verified by applying it on rendered simulations of the folding process, of which ground truth data is available.
Quantitative and qualitative analyses have been performed on video sequences of the folding process of paperboard. The most relevant quantities, fields, and metrics have been extracted for all samples. An analysis of delamination zone area as a function of folding angle has also been conducted.}},
author = {{Langlais, Shan}},
issn = {{1404-6342}},
language = {{eng}},
note = {{Student Paper}},
series = {{Master's Theses in Mathematical Sciences}},
title = {{A method for extracting delamination zones and deformation quantities of paperboard during folding}},
year = {{2019}},
}