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钢筋混凝土偏压构件截面非线性分析高斯积分
引用本文:焦俊婷,叶英华,刁波.钢筋混凝土偏压构件截面非线性分析高斯积分[J].北京航空航天大学学报,2003,29(4):370-373.
作者姓名:焦俊婷  叶英华  刁波
作者单位:北京航空航天大学 土木工程系
基金项目:国家自然科学基金资助项目 ( 5 0 1780 0 8,5 99780 0 4)
摘    要:以平截面假设为基础,利用截面内力平衡关系,推导出钢筋混凝土双向偏压构件截面割线刚度、切线刚度矩阵计算的简便公式.并将混凝土积分面积划分成若干个三角单元,用高斯面积数值积分计算三角单元刚度矩阵的各项系数,再叠加所有三角单元刚度矩阵的各项系数,来求得混凝土的割线刚度、切线刚度系数.用文中方法对钢筋混凝土压弯构件进行了截面非线性全过程分析,分析结果与其它文献及实验数据比较,符合较好.

关 键 词:钢筋混凝土  非线性结构分析  偏压构件  任意截面  高斯面积积分
文章编号:1001-5965(2003)04-0370-04
收稿时间:2002-06-10
修稿时间:2002年6月10日

Gauss Numerical Integration in Nonlinear Analysis of Reinforced Concrete Members under Eccentric Compression Loading
Jiao Junting,Ye Yinghua,Diao Bo.Gauss Numerical Integration in Nonlinear Analysis of Reinforced Concrete Members under Eccentric Compression Loading[J].Journal of Beijing University of Aeronautics and Astronautics,2003,29(4):370-373.
Authors:Jiao Junting  Ye Yinghua  Diao Bo
Institution:Dept. of Civil Engineering, Beijing University of Aeronautics and Astronautics
Abstract:Secant stiffness matrix and tangent stiffness matrix of reinforced concrete arbitrary cross-section members with eccentric compression load are derived, on the base of plane assumption and the cross-section equilibrium equations. The secant stiffness with tangent stiffness of reinforced concrete are gained by adding the secant stiffness matrixes with tangent stiffness matrixes of the triangles, which are calculated by using Gauss numerical integration method on the devided triangles of the concrete section area. The cross-section complete path nonlinear analysis of reinforced concrete arbitrary cross-section members is traced. The results agree very well with the data of the references and test data.
Keywords:reinforced concrete  non-linear structural analysis  eccentric compression members  arbitrary cross-section  Gauss area numerical integration
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