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本文发展了变厚度任意配筋的钢筋混凝土板壳问题中考虑材料非线性分析的有限条法。文中建立了沿厚度方向作分层离散的三维蜕化二次厚壳条,而在计算上,沿壳条跨度方向采用Simpson积分技术可以方便地处理该方向的任意配筋并给出了满足精度要求的选取Simpson积分点数的表达式。文中提出的“拟刚度矩阵”法大大简化了非线性有限条法的求解过程。给出两个数值算例表明了理论方法的有效性及其精度。
In this paper, the finite strip method considering the nonlinear analysis of materials in reinforced concrete slabs and shells with variable thickness and arbitrary reinforcement is developed. In this paper, a three-dimensional distorted secondary thick-shell stripe is established which is layered and discretized along the thickness direction. In calculation, the Simpson integration technique can be used to easily process arbitrary reinforcement in the direction along the length of the shell strip and meet the accuracy requirements. The expression for selecting Simpson integral points. The “quasi-stiffness matrix” method proposed in the paper greatly simplifies the nonlinear finite strip method. Two numerical examples are given to illustrate the validity and accuracy of the theoretical method.