マトリクス分割法による有限要素法の分散処理について : トラス構造物への適用について

概要

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The purpose of this study is to achieve decentralized processing of the finite-element method (FEM) by making use of matrix decomposition. For structural analysis of FEM, generally, the global stiffness matrix is a very large matrix which reflects the physical properties of the structure. The matrix decomposition can be used to transpose the global stiffness matrix with simple band matrices. The object of analysis in this study is a truss. The matrix decomposition is effective for the high-dimensional equation which decomposes a reduced-order equation. The computational process with analysis of FEM can be optimized such that the time complexity is minimized due to parallel processing. In this study, the matrix decomposed algorithm is derived for the analysis of a truss, and the time complexity and the arithmetic complexity are compared numerically. Results show that, the time complexity and the arithmetic complexity can be reduced to 29% and 26%, respectively.
一般社団法人日本機械学会の論文
1995-06-25