ズーミング法による構造解析の精度評価に関する基礎的研究 : 第3報,有限要素法による2次元静弾性応力解析

概要

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As a basic study for the establishment of an accuracy estimation method in the structural analysis using the zooming method, this third report deals with the problems of two dimensional elastostatic stress analysis by the finite element method. From numerical experiments, 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. Using this relation, the errors of displacement on zooming boundary and that of stress at the selected points in the zooming region can be estimated by the recursive analyses of the whole region or of the zooming region. The error of stress at the selected points is expected to be smaller than the sum of these errors. A computer program using this error estimation method was developed and applied to several 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
1988-07-25