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On the Modification of Gauss Integral Point of 6 Node Two Dimensional Isoparametric Element -Linear and Nonlinear Static and Dynamic Bending Analyses-

6절점 2차원 Isoparametric요소의 가우스적분점 수정에 관하여 -선형, 비선형의 정적 및 동적 굽힘해석-


Abstract

For the same configuration, the stiffness of 6-node two dimensional isoparametric is stiffer than that of 8-node two dimensional isoparametric element. This phenomenon may be called 'Relative Stiffness Stiffening Phenomenon.' In this paper, the relative stiffness stiffening phenomenon was studied, and could be corrected by modifying the position of Gauss integral points used in the numerical integration of the stiffness matrix. For the same deformation (bending) energy of 6-node and 8-node two dimensional isoparametric elements, Gauss integral points of 6-node element have to move closer, in comparison with those of 8-node element, in the case of numerical integration along the thickness direction.

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