Buckling analysis of stiffened plate structures by an improved meshfree flat shell formulation
Buckling analysis of stiffened plate structures by an improved meshfree flat shell formulation
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DOI：
10.1016/j.tws.2017.04.012
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发表时间：
2017-08
影响因子：
6.4
通讯作者：
Shota Sadamoto;Satoyuki Tanaka;K. Taniguchi;Murat Özdemir;T. Bui;Chikahisa Murakami;D. Yanagihara
中科院分区：
文献类型：
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作者：
Shota Sadamoto;Satoyuki Tanaka;K. Taniguchi;Murat Özdemir;T. Bui;Chikahisa Murakami;D. Yanagihara
本文提出了一种分析加筋板结构屈曲性能的有效伽辽金无网格扁壳列式。板的弯曲和膜的变形近似的再生核粒子法（RKPM）。将控制方程转化为弱形式，并通过离散节点进行离散。刚度矩阵的数值积分与节点积分技术，即，稳定协调节点积分（SCNI）。基于RKPM和SCNI的扁壳建模方法可以解决剪切锁定问题。此外，本离散化是进一步改善，涉及钻孔旋转组件，这是有效地模拟加劲肋。每个节点有六个自由度。一个奇异的内核也被引入到一组插值模型的腹板/法兰连接，以及施加的本质边界条件。分析了加筋板结构屈曲载荷/模态的广义特征值问题。数值算例验证了该方法的有效性和数值结果的准确性。
An efficient Galerkin meshfree flat shell formulation is presented for the analysis of buckling behaviors of stiffened plate structures. Both plate bending and membrane deformations are approximated by the reproducing kernel particle method (RKPM). The governing equation is transformed into a weak form, and it is discretized by the scattered nodes. The stiffness matrix is numerically integrated with the nodal integration technique, i.e., the stabilized conforming nodal integration (SCNI). The RKPM and SCNI based flat shell modeling approach can address the shear locking problem. Additionally, the present discretization is further improved by involving a drilling rotation component, which is to effectively model the stiffeners. There are six degrees of freedom per node. A singular kernel is also introduced into a set of the interpolants to model the web/flange connection, as well as the imposition of the essential boundary conditions. A generalized eigenvalue problem is analyzed for evaluating buckling loads/modes of the stiffened plate structures. The accuracy of the numerical results and the effectiveness of the proposed method are examined through several numerical examples.