Moving least‐squares approximation with discontinuous derivative basis functions for shell structures with slope discontinuities
Moving least‐squares approximation with discontinuous derivative basis functions for shell structures with slope discontinuities
复制标题
DOI：
10.1002/nme.2362
复制
发表时间：
2008-11
影响因子：
2.9
通讯作者：
Zhi-qian Zhang;H. Noguchi;Jiun-Shyan Chen
中科院分区：
文献类型：
--
作者：
Zhi-qian Zhang;H. Noguchi;Jiun-Shyan Chen
将不连续导数基函数移动最小二乘逼近(MLSA-DBF)方法引入到含边坡不连续壳结构的分析中。为了处理任意坡度不连续的壳体，在壳体表面的MLSA构造中引入了笛卡尔坐标。找出了具有坡度不连续的壳体表面上MLSA矩矩阵奇异性的可能原因，并利用Moore-Penrose伪逆得到了因线性相关性和MLSA中影响节点不足而产生的奇异矩矩阵的广义逆。在此基础上，通过算例分析了MLSA-DBF方法的性能、有效性、精度和收敛特性。版权所有©2007 John Wiley&Sons，Ltd.
Moving least‐squares approximation with discontinuous derivative basis functions (MLSA‐DBF) is introduced for analysis of shell structures with slope discontinuities. To deal with shells with arbitrary slope discontinuities, the Cartesian coordinate is introduced in the construction of MLSA on the shell surface. The possible causes of singularity in the moment matrix of MLSA on the shell surface with slope discontinuities are identified, and the Moore–Penrose pseudoinverse is used to obtain the generalized inverse of the singular moment matrix resulting from linear dependency and insufficient influence nodes in the MLSA. Following the proposed formulations for shear deformable shell structures with slope discontinuities in the Cartesian coordinates, several numerical examples are analyzed to demonstrate the performance, validity, accuracy, and convergence properties of the proposed MLSA‐DBF approach. Copyright © 2007 John Wiley & Sons, Ltd.