Nonlinear analysis of corrugated plates using a FSDT and a meshfree method
Nonlinear analysis of corrugated plates using a FSDT and a meshfree method
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DOI：
10.1016/j.cma.2006.11.018
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发表时间：
2007-04
影响因子：
7.2
通讯作者：
K. Liew;L. Peng;S. Kitipornchai
中科院分区：
文献类型：
--
作者：
K. Liew;L. Peng;S. Kitipornchai
本文采用基于一阶剪切变形理论的无网格Galerkin方法对加筋和非加筋波纹板进行了几何非线性分析。假定应变较小，波纹板近似为等效正交异性板。将von Karman大挠度理论应用于正交各向异性板的非线性分析，推导出了正交各向异性板的等效弯曲性能。在非线性分析中同时考虑了等效的弯曲和拉伸性能。将加筋波纹板分析为正交各向异性加筋板，将加筋板模型化为梁，并通过板与加筋板之间的位移协调条件将加筋板与等效正交异性板进行装配。由于所提出的方法不需要网格划分，因此加强筋可以放置在板上的任何位置，并且改变加强筋的位置不需要对板重新划分网格。为了验证该方法的收敛和精度，文中给出了几个数值算例。将该方法计算的结果与有限元分析软件用壳单元得到的精确解进行了比较，并与其他研究工作的结果进行了比较。
This paper presents a geometrically nonlinear analysis of stiffened and un-stiffened corrugated plates using a meshfree Galerkin method that is based on the first-order shear deformation theory (FSDT). The strains are assumed to be small, and the corrugated plates are modeled approximately as equivalent orthotropic plates. The large deflection theory of von Karman is adopted in the nonlinear analysis of the orthotropic plate, and the equivalent flexure properties of the orthotropic plate are derived. Both the equivalent flexure and extensional properties are employed in the nonlinear analysis. The stiffened corrugated plates are analyzed as stiffened orthotropic plates, in which the stiffeners are modeled as beams and fitted to the equivalent orthotropic plate by implementing displacement compatibility conditions between the plate and the stiffeners. Because no mesh is required in the proposed method, the stiffeners can be placed anywhere on the plate, and changes to the positions of the stiffeners do not entail the remeshing of the plate. To demonstrate the convergence and accuracy of the proposed method, several numerical examples are employed. The solutions that are computed by the proposed method are compared with precise solutions that are given by ANSYS using shell elements and with the results of other research work.