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Modelling the dynamical behaviour of a paper web: Part I
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
University of Oulu, Finland.
Responsible organisation
2007 (English)In: Computers and Structures, ISSN 0045-7949, Vol. 85, no 3-4, 131-147 p.Article in journal (Refereed) Published
Abstract [en]

A new shell element has been proposed for geometrically non-linear, finite element analyses of axially moving paper web. Web instability problems of paper travelling in a printing system, such as wrinkling and fluttering, pose special challenges in the numerical analyses. For examples, these are finite bending stiffness (as opposed to membrane), orthotropy, and non-uniform distributions of mechanical and hygro-properties (in different length scales). The new formulation has accounted for paper transport velocity and paper bending stiffness based on a mixed Lagrangian-Eulerian description of the motion. A natural coordinate system has been employed in the analytical and finite element formulations. Benchmarking with different finite elements in various tests showed that the proposed element is indeed more stable and reliable for the chosen application than existing elements. The usability of the shell element has been successfully demonstrated by two example problems: wrinkling of stretched isotropic and orthotropic membranes, and the vibration of a web showing a speed-tensioning effect above a critical web transport velocity.

Place, publisher, year, edition, pages
2007. Vol. 85, no 3-4, 131-147 p.
Keyword [en]
Axially moving materials, Hamilton's principle, One-point quadrature element, Physical hourglass control
Keyword [sv]
Finit element analys
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:miun:diva-4730DOI: 10.1016/j.compstruc.2006.09.006ISI: 000244511600002Scopus ID: 2-s2.0-33846190183Local ID: 2808OAI: oai:DiVA.org:miun-4730DiVA: diva2:29762
Note

VR-Engineering

Available from: 2008-09-30 Created: 2009-11-02 Last updated: 2016-09-30Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
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Output format
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  • asciidoc
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