6節点アイソパラメトリックシェル要素の剛性マトリックスの数値積分法 : 積分次数が解の精度・特性に及ぼす影響

概要

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This paper describes numerical integration schemes for stiffness matrices of six-node triangular isoparametric shell elements and their influences on accuracy and characteristics of solutions. The numerical integration schemes investigated here are a fourth, a third and two kinds of second order formulas. A square plate, a cylindrical shell and a spherical shell were analysed using the stiffness matrices calculated by those formulas. Judging from the displacement obtained, the lower order formulas do not necessarily yield-lower stiffness than the fourth order formula. In many cases, the lower order formulas give more accurate results than the fourth order formula. The second order formulas are recommended as the numerical integration scheme for this element by reason of accuracy of solutions and economy of computation time.
社団法人日本建築学会の論文
1981-11-30