多様な対称性に対する境界要素法アルゴリズムおよびデータ構造

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Recent advancement in ability of a computing machine has developed an active trend for replacing an experiment with a simulation. In order to perform the analysis of a real structure pertained with extremely large fluctuations, both geometrically and materially, a large number of elements are required, and efficient analysis is indispensable. In contrast, it is often the case that an actual structure has a symmetrical shape in whole or in part, and its boundary value also have a symmetrical distribution. Therefore, there have been proposed a number of analytic techniques that take advantage of a symmetry of a structure. However, symmetry includes wide variations, such as plane symmetry, inverse symmetry, axial symmetry, helical symmetry, and short cake symmetry. Further, the generation method of a mirror image, the number of mirror images to be generated, and so on are different in each case. Therefore, a program corresponding to each case must be configured. Further, the presence of a problem of a mixture of different types of symmetry such as mixture of plane symmetry and axial symmetry increases the number of cases to be coped with, which causes serious problems in maintenance and expandability of a program. This paper has proposed a boundary element method processing boundary condition information and geometrical information individually as a method of efficiently analyzing structures that are symmetrical in geometry and boundary conditions, and has confirmed its validity through analyses of electrochemistry. Further, the proposed technique makes it possible to reduce analysis time significantly.
一般社団法人日本機械学会の論文
2009-01-25

多様な対称性に対する境界要素法アルゴリズムおよびデータ構造

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