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1報,有限要素法による薄平板の面外曲げ解析

概要

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As a basic study for the establishment of an accuracy estimation method in structural analysis using the zooming method, this report deals with the finite element analysis of the problems of transverse bending of thin, flat 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 exact value and h/a is the dimensionless mesh diameter. Using this relation, the errors of gradients on a zooming boundary and that of the bending moment 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 the bending moment at the selected points is expected to be smaller than the sum of these two errors. A computer program using this error estimation method was developed and applied to sixteen problems of various shapes. The usefulness of this accuracy estimation method was illustrated by these application results.
一般社団法人日本機械学会の論文
1987-05-25