Motion Equations for a Nonlinear Plate and a Nonlinear Shell

摘要：

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 IR3, we derive a nonlinear model where a deformation in three-dimensions is concerned.

关键词： nonlinear plate nonlinear shell material nonlinearity strain energy function Riemannian geometry

作者: LI Shun YAO Peng-fei

作者单位: Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Syst Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Syst

会议类型: 国际会议

会议名称: The 31st Chinese Control Conference(第三十一届中国控制会议)

会议地点: 合肥

会议语种:英文

页码: 1269-1273

在线出版日期: 2012-07-01（万方平台首次上网日期，不代表论文的发表时间）