Modelling the dynamical behaviour of a paper web. Part I
2007 (English)In: Computers & structures, ISSN 0045-7949, E-ISSN 1879-2243, Vol. 85, no 3-4, 131-147 p.Article in journal (Refereed) Published
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, theme 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 -1-agrangian-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 p:,-oblems: wrinkling of stretched isotropic and orthotropic membranes, and the vibration of a web showing a speedtensioning effect above a critical web transport velocity.
Place, publisher, year, edition, pages
2007. Vol. 85, no 3-4, 131-147 p.
axially moving materials, Hamilton's principle, one-point quadrature element, physical hourglass control
Other Materials Engineering
IdentifiersURN: urn:nbn:se:kth:diva-24376DOI: 10.1016/j.compustruc.2006.09.006ISI: 000244511600002OAI: oai:DiVA.org:kth-24376DiVA: diva2:349326
Tidigare titel: A shell finite element for geometrically non-linear analyses of axially moving paper webs QC 201009062010-09-062010-09-062016-05-11Bibliographically approved