Title :
Motion equations for a nonlinear plate and a nonlinear shell
Author :
Shun, Li ; Peng-fei, Yao
Author_Institution :
Key Lab. of Syst. & Control, Acad. of Math. & Syst. Sci., Beijing, China
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 and the motion equations. For a shell with a curved middle surface in ℝ3, we derive a nonlinear model where a deformation in three-dimensions is concerned.
Keywords :
bending; elasticity; nonlinear equations; plates (structures); shells (structures); stress-strain relations; bending; curved middle surface; deformation; elasticity; linear strain displacement relations; motion equations; nonlinear materials; nonlinear thin plate; nonlinear thin shell; planar middle surface; strain energy; Equations; Materials; Mathematical model; Measurement; Strain; Tensile stress; Vectors; Riemannian geometry; material nonlinearity; nonlinear plate; nonlinear shell; strain energy function;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3
