有限要素解析の精度評価に関する基礎的研究 : 第3報,薄曲板の面内応力および面外曲げモーメント解析の場合

概要

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As a basic study for the establishment of an accuracy estimation method in the finite element method, this report deals with the problems of accuracy estimation in the analyses of in-plane stress and transverse bending of thin, curved plates. From numerical experiments for uniform mesh divisions, the following relation was deduced, ε∝(h/a)^k, k≥1, where ε is the error of the value by the finite element method relative to the exact value and h/a is the dimensionless mesh diameter. From this relation, an accuracy estimation method, which was based on the recursive simulation method, was presented. A computer program using this accuracy estimation method was developed and applied to eight problems of various shapes. The usefulness of this accuracy estimation method was illustrated by these application results.
社団法人日本機械学会の論文
1991-04-25