有限要素解析の精度評価に関する基礎的研究 : 第2報,薄平板の面外曲げ固有振動解析の場合

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 free transverse vibration of thin and flat plates. From the numerical experiments for a uniform mesh division, the following relation was deduced, ε^∝(h/a)^k, k≤, 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, an accuracy estimation method, which was based on the recursive simulation method, is presented. A computer program using this accuracy estimation method is developed and applied to many problems with various shapes. The usefulness of this accuracy estimation method is illustrated by these application results.
一般社団法人日本機械学会の論文
1988-06-25