湖南大学学报（自然科学版）2013，Vol.40Issue(8)：11-15,5.
钢筋混凝土梁单元双非线性分析的共旋坐标法
Co-rotational Procedure for the Bi-nonlinear Analysis of Reinforced Concrete Beam Element
摘要
Abstract
Multiple assumptions and approximations in nonlinearity analysis models of existing reinforced concrete beam element result in low calculation efficiency and low calculation accuracy.In this paper,based on co-rotational procedure,a numerical model for a given section considering material and geometrical nonlinear analysis of reinforced concrete beam element was developed.Firstly,by means of virtual work,a tangent stiffness matrix for the material nonlinearity of perfectly-bonded reinforced concrete beam element was derived in co-rotational coordinate system.Then,by building total and incremental relationships derived from differential equations of nodal displacements and forces between global coordinate system and co-rotational coordinate system,respectively,tangent stiffness in global coordinate system reinforced concrete beam element was developed by considering geometric and material nonlinearity.A comparison between the results in this paper and those from existing references has demonstrated that the algorithm developed is highly efficient and accurate with many advantages,such as non-cumulative calculation errors and reduction in computation.关键词
钢筋混凝土/梁单元/共旋坐标法/双非线性/微分法/切线刚度矩阵Key words
reinforced concrete/ beam element/ co-rotational procedure/ bi-nonlinear/ variational method/ tangent stiffness matrix分类
建筑与水利引用本文复制引用
邓继华,邵旭东..钢筋混凝土梁单元双非线性分析的共旋坐标法[J].湖南大学学报（自然科学版）,2013,40(8):11-15,5.基金项目
国家自然科学基金资助项目(51008037) （51008037）
