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On the limit velocity and buckling phenomena of axially moving orthotropic membranes and plates

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Banichuk, N., Jeronen, J., Kurki, M., Neittaanmäki, P., Saksa, T., & Tuovinen, T. (2011). On the limit velocity and buckling phenomena of axially moving orthotropic membranes and plates. International Journal of Solids and Structures, 48 (13), 2015-2025. doi:10.1016/j.ijsolstr.2011.03.010
Published in
International Journal of Solids and Structures
Authors
Banichuk, Nikolay |
Jeronen, Juha |
Kurki, Matti |
Neittaanmäki, Pekka |
Saksa, Tytti |
Tuovinen, Tero
Date
2011
Discipline
TietotekniikkaDepartment of Mathematical Information Technology
Copyright
© Elsevier. This is an author's final draft version of an article whose final and definitive version has been published by Elsevier.

 
In this paper, we consider the static stability problems of axially moving orthotropic membranes and plates. The study is motivated by paper production processes, as paper has a fiber structure which can be described as orthotropic on the macroscopic level. The moving web is modeled as an axially moving orthotropic plate. The original dynamic plate problem is reduced to a two-dimensional spectral problem for static stability analysis, and solved using analytical techniques. As a result, the minimal eigenvalue and the corresponding buckling mode are found. It is observed that the buckling mode has a shape localized in the regions close to the free boundaries. The localization effect is demonstrated with the help of numerical examples. It is seen that the in-plane shear modulus affects the strength of this phenomenon. The behavior of the solution is investigated analytically. It is shown that the eigenvalues of the cross-sectional spectral problem are nonnegative. The analytical approach allows for a fast solver, which can then be used for applications such as statistical uncertainty and sensitivity analysis, real-time parameter space exploration, and finding optimal values for design parameters. ...
Publisher
Elsevier
ISSN Search the Publication Forum
0020-7683
Keywords
axially moving orthotropic shear modulus membrane plate aksiaalisesti liikkuva ortotrooppisuus leikkausmoduuli kalvo levy
DOI
https://doi.org/10.1016/j.ijsolstr.2011.03.010
URI

http://urn.fi/URN:NBN:fi:jyu-201209272520

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