任意截面钢筋混凝土双向偏压构件材料及几何非线性分析

Material and Geometrical Nonlinear Analysis of Reinforced Concrete Members with Arbitrary Cross-Sections Subjected to Biaxial Eccentric Compression

本文应用钢筋和混凝土的材料非线性本构关系，推导建立了任意截面钢筋混凝土双向偏压构件梁柱单元几何非线性分析公式。梁柱单元刚度矩阵借助于形函数和截面刚度矩阵形成。所建立的考虑大位移影响的单元刚度矩阵是小位移刚度矩阵和其它几个矩阵的简单叠加。文中给出的标准有限元公式既简单明了又节省计算时间，得到的理论分析结果与实验结果吻合很好。

By use of the constitutive model of material nonlinearity of steel and concrete, the geometrical nonlinear finite element formulations of reinforced concrete members with arbitrary cross-sections are derived in this paper. The elemental stiffness matrices are formed with shape functions and cross-sectional stiffness matrices. The beam-column elemental stiffness matrices in consideration of large displacement are only the simple superposition of small displacement stiffness matrices and a few other component matrices. The typical finite element formulations presented here are clear and timesaving. Theoretical results are in good accordance with experimental data.