DocumentCode
2293115
Title
On the modeling of a nonlinear plate and a nonlinear shell
Author
Li, Shun ; Yao, Peng-Fei
Author_Institution
Key Lab. of Syst. & Control, Acad. of Math. & Syst. Sci., Beijing, China
fYear
2012
fDate
6-8 July 2012
Firstpage
1585
Lastpage
1590
Abstract
We consider modeling of a nonlinear thin plate and a nonlinear thin shell under the following assumptions: (a) the materials are nonlinear; (b) the deflections are small (linear strain displacement relations). For a plate with a planar middle surface, we consider the bending of the plate to establish the strain energy, the equilibrium equations, and the motion equations. For a shell with a curved middle surface in IR3, we derive a nonlinear model where a deformation in three-dimensions is concerned.
Keywords
bending; plates (structures); shells (structures); 3D deformation; bending; curved middle surface; equilibrium equations; linear strain displacement relations; motion equations; nonlinear model; nonlinear thin plate; nonlinear thin shell; planar middle surface; strain energy; Equations; Materials; Mathematical model; Measurement; Strain; Tensile stress; Vectors; Riemannian geometry; material nonlinearity; strain energy function;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Control and Automation (WCICA), 2012 10th World Congress on
Conference_Location
Beijing
Print_ISBN
978-1-4673-1397-1
Type
conf
DOI
10.1109/WCICA.2012.6358131
Filename
6358131
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