平面問題に対する種々な数値解析法の結合モデルの定式化とその適用

概要

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Several methods of numerical analysis have variously different characteristics, depending on analytical objects, boundary conditions and so on. In order to make good use of their characteristics, it is valuable to develop the analytical technique which can be used together with various numerical analyses in the same problem. Therefore we have proposed combined models with elements of various numerical analyses such as FEM, BEM, and RBSM by using the concept of RBSM. This paper generalized the procedure of formulation for various combined models by means of constructing the stiffness matrix of a bond element from a basic matrix and a transformation matrix. The procedure is applied to obtain the stiffness matrix of bond element between linear elements of BEM. These bond elements between different numerical analyses and between linear elements of BEM are applied to the following typical contact problem : tension of a plate with circular hole in which a smooth disk is inserted. The results compared with the exact solution show the generalized procedure proposed here can be useful and these models are effective for contact problems. And the bond element between linear elements of BEM is applied to the contact problem between two gear teeth.
日本シミュレーション学会の論文
1998-12-15