An integrated procedure for three‐dimensional structural analysis with the finite cover method
An integrated procedure for three‐dimensional structural analysis with the finite cover method
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DOI：
10.1002/nme.1356
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发表时间：
2005-08
影响因子：
2.9
通讯作者：
K. Terada;M. Kurumatani
中科院分区：
文献类型：
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作者：
K. Terada;M. Kurumatani
本文介绍了一种三维（3D）结构分析与有限覆盖法（FCM）的集成程序。在该过程的预处理中，通过3D-CAD对结构的几何形状进行建模，然后进行数字化以获得相应的体素模型，然后通过数学覆盖的联合来覆盖结构，即为近似目的独立生成的数学网格。由于FCM中的网格拓扑不需要符合结构的物理边界，因此网格可以是规则的和结构化的。因此，数值分析过程没有网格生成通常带来的困难，从这个意义上说，使我们能够实现无网格分析。在为结构的静态平衡状态制定了具有界面元素的FCM之后，我们详细介绍了有限覆盖建模的过程，包括使用3D-CAD进行几何建模和识别由规则网格覆盖的几何形状以进行数值积分。在完整的3D建模和分析之前，我们提出了一个简单的数值例子来确认FCM和标准有限元法（FEM）的性能的等效性。最后，有代表性的数值例子来证明所提出的分析程序的能力。版权所有© 2005年约翰威利父子有限公司。
In this paper an integrated procedure for three‐dimensional (3D) structural analyses with the finite cover method (FCM) is introduced. In the pre‐process of this procedure, the geometry of a structure is modelled by 3D‐CAD, followed by digitization to have the corresponding voxel model, and then the structure is covered by a union of mathematical covers, namely a mathematical mesh independently generated for approximation purposes. Since the mesh topology in the FCM does not need to conform to the physical boundaries of the structure, the mesh can be regular and structured. Thus, the numerical analysis procedure is free from the difficulties mesh generation typically poses and, in this sense, enables us to realize the mesh‐free analysis. After formulating the FCM with interface elements for the static equilibrium state of a structure, we detail the procedure of the finite cover modelling, including the geometry modelling with 3D‐CAD and the identification of the geometry covered by a regular mesh for numerical integration. Prior to full 3D modelling and analysis, we present a simple numerical example to confirm the equivalence of the performance of the FCM and that of the standard finite element method (FEM). Finally, representative numerical examples are presented to demonstrate the capabilities of the proposed analysis procedure. Copyright © 2005 John Wiley & Sons, Ltd.