An overview of modelling challenges for a nonlinear plate-beam model
Leugering G, Horn MA (2005)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2005
Journal
Publisher: Elsevier
Book Volume: 63
Pages Range: E1529-E1539
Journal Issue: 5-7
URI: http://www.sciencedirect.com/science/article/pii/S0362546X05000647
Abstract
A model comprised of a nonlinear von Karman plate coupled with a nonlinear beam equation is developed from first principles. Dynamic junction conditions are imposed at the interface. Wellposedness is established by first considering a corresponding linear problem, then applying a perturbation theorem for nonlinear semigroups. Proof of regularity takes advantage of elliptic theory, as well as the regularity of the Airy's stress function. The compatibility constraints at the junction give rise to mathematical challenges not seen in earlier work on the individual plate and beam models. (C) 2005 Elsevier Ltd. All rights reserved.
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APA:
Leugering, G., & Horn, M.A. (2005). An overview of modelling challenges for a nonlinear plate-beam model. Nonlinear Analysis - Theory Methods & Applications, 63(5-7), E1529-E1539. https://doi.org/10.1016/j.na.2005.01.048
MLA:
Leugering, Günter, and Mary Ann Horn. "An overview of modelling challenges for a nonlinear plate-beam model." Nonlinear Analysis - Theory Methods & Applications 63.5-7 (2005): E1529-E1539.
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