钢筋混凝土偏压构件截面非线性分析高斯积分

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

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(50178008;59978004)

详细信息

作者简介:
焦俊婷(1968-),女,河北保定人,博士生,100083,北京.

中图分类号: TU 375.1
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- 被引次数: 0
出版历程
- 收稿日期: 2002-06-10
- 网络出版日期: 2003-04-30

Gauss Numerical Integration in Nonlinear Analysis of Reinforced ConcreteMembers under Eccentric Compression Loading

Dept. of Civil Engineering, Beijing University of Aeronautics and Astronautics

摘要

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.
- 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
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.
- reinforced concrete /
- non-linear structural analysis /
- eccentric compression members /
- arbitrary cross-section /
- Gauss area numerical integration

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参考文献(1)

[1] Ye Yinghua,Diao Bo. Nonlinear analysis of concrete structures[M].Harbin:Publishing House of Harbin Institute of Technology,1996 [2] 刘超,陈云霞,姚石良.L形截面钢筋混凝土双向压弯构件正截面承载能力的实验及理论研究[J].工程力学,1995,(增刊):0822~0831 Liu Chao,Chen Yunxia,Yao Shiliang.The experimental research on load-bearing capacity of L-shape members under axial compression and biaxial bending[J]. Supplement of Engineering Mechanics,1995,(Sup):0822~0831(in Chinese) [3] 叶英华,刁波.钢筋混凝土结构非线性理论综述[J].哈尔滨建筑工程学院学报,1995,28(1):127~131 Ye Yinghua,Diao Bo.Summary of nonlinear theory for reinforced concrete structrures[J].Journal of Harbin Architecture & Civil Engineering Institute,1995,28(1):127~131(in Chinese) [4] 叶英华, 刁波.任意形状钢筋混凝土弯压构件截面非线性全过程分析[J].哈尔滨建筑工程学院学报,1995,28(5):12~18 Ye Yinghua, Diao Bo. Nonlinear complete path analysis of reinforced concrete column with arbitrary cross-section[J].Journal of Harbin University of Architecture and Engineering,1995,28(5):12~18(in Chinese) [5] CEB COMITE EURO-International du Beton:CEB-FIP MODEL CODE 1990[S]. Vienna, 1991 [6] Crisfield M A. A review of solution procedures and path-following techniques in relation to the nonlinear finite element analysis of structures. New York:Nonlinear Computational Machanics,1990,47~68 [7] Batoz J L,Dhatt G. Increment displacement algorithms for nonlinear problems[J]. Int J Num Meth Engng,1979,14:1262~1267 [8] 刁波,叶英华,焦俊婷,等.钢-混凝土组合构件非线性分析[J].工业建筑,2002,32(2):44~45 Diao Bo, Ye Yinghua,Jiao Junting,et al. Nonlinear analysis of steel-concrete composite member under biaxial eccentric compression loading[J].Industrial Construction, 2002, 32(2):44~45(in Chinese)

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