有限要素解析の精度評価に関する基礎的研究 : 第1報,薄平板の面外曲げ解析の場合

抄録

As a basic study for the establishment of an accuracy estimation method in the finite element method, this report deals with 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 the exact value and h/a is the dimensionless mesh diameter. combining this relation with the results of the error analyses for local mesh refinement, 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 nineteen problems of various shapes. The usefulness of this accuracy estimation method was illustrated by these application results.