Geometric Nonlinear Meshless Analysis of Ribbed Rectangular Plates Based on the FSDT and the Moving Least-Squares Approximation
Geometric Nonlinear Meshless Analysis of Ribbed Rectangular Plates Based on the FSDT and the Moving Least-Squares Approximation
复制标题
基于FSDT和移动最小二乘法的带肋矩形板几何非线性无网格分析
DOI：
10.1155/2014/548708
复制
发表时间：
2014-03
影响因子：
--
通讯作者：
Mo, Gui-Kai
中科院分区：
文献类型：
--
作者：
Peng, L. X.;Tao, Yue-Ping;Li, Hong-Qiao;Mo, Gui-Kai
基于一阶剪切变形理论和移动最小二乘近似，提出了一种研究加肋矩形板几何非线性问题的新的无网格模型。分别考虑板和肋，根据移动最小二乘近似、von Karman大挠度理论和FSDT，得到了板和肋的位移场、应力和应变。考虑肋与板连接沿着位移协调条件，将肋与板连接。分别推导了板和肋的虚应变能公式，并由虚功原理给出了整体肋板的非线性平衡方程。在新的无网格加肋板模型中，对肋的位置没有限制，例如，肋不需要沿着板的网格线放置，因为它们需要在有限元中，并且肋位置的改变不会导致板的重新网格化。通过数值算例与文献中的有限元模型和ANSYS中的有限元模型进行了比较，验证了模型的准确性。
Based on the first-order shear deformation theory (FSDT) and the moving least-squares approximation, a new meshless model to study the geometric nonlinear problem of ribbed rectangular plates is presented. Considering the plate and the ribs separately, the displacement field, the stress, and strain of the plate and the ribs are obtained according to the moving least-squares approximation, the von Karman large deflection theory, and the FSDT. The ribs are attached to the plate by considering the displacement compatible condition along the connections between the ribs and the plate. The virtual strain energy formulation of the plate and the ribs is derived separately, and the nonlinear equilibrium equation of the entire ribbed plate is given by the virtual work principle. In the new meshless model for ribbed plates, there is no limitation to the rib position; for example, the ribs need not to be placed along the mesh lines of the plate as they need to be in FEM, and the change of rib positions will not lead to remeshing of the plate. The proposed model is compared with the FEM models from pieces of literature and ANSYS in several numerical examples, which proves the accuracy of the model.
登录
查看更多内容
DOI：
10.1007/s11433-004-0027-y
发表时间：
2006-02
期刊：
Science in China Series G-Physics Mechanics & Astronomy
影响因子：
--
作者：
Cheng, YM;Li, JH
通讯作者：
Li, JH
DOI：
10.1017/s0368393100075544
发表时间：
1961-10
期刊：
The Journal of the Royal Aeronautical Society
影响因子：
--
作者：
C. L. Kirk
通讯作者：
C. L. Kirk
无元素kp-Ritz法分析功能梯度碳纳米管增强复合材料板的大挠度
DOI：
10.1016/j.cma.2012.12.007
发表时间：
2013-04
影响因子：
7.2
作者：
Z.X. Lei;Liew K.M.;J.L. Yu
通讯作者：
J.L. Yu
影响因子：
6.3
作者：
Lu-Wen Zhang;P. Zhu;K. Liew
通讯作者：
Lu-Wen Zhang;P. Zhu;K. Liew
DOI：
--
发表时间：
1999
期刊：
--
影响因子：
--
作者：
J. Reddy
通讯作者：
J. Reddy