混合要素を用いた板,殼の増分法による幾何学的非線形解析

概要

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The finite element method by incremental procedure using mixed model is formulated to analyse the problems of the plates and shells which show geometrical nonlinear properties remarkably. A plane triangular element is considered here, assuming constant strain in plane and constant moments and linear displacement in plate bending. Present procedure is applied to the problems of the large deflection of square plates with initial deflections, symmetrical buckling of shallow square caps, the large deflection of circular plates and compression buckling of square plates with a circular hole, and these are compared and investigated with the existing. It is noted that, although the expression of the obtained stiffness matrix is quite simple, sufficient accuracies of the results may be appreciated.
大同工業大学の論文