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陈滔,黄宗明.基于有限单元柔度法的材料与几何双重非线性空间梁柱单元[J].计算力学学报,2006,23(5):524~529
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基于有限单元柔度法的材料与几何双重非线性空间梁柱单元
Material and geometrically nonlinear spatial beam-column element based on the finite element flexibility method
  修订日期:2005-03-28
DOI:10.7511/jslx20065098
中文关键词:  钢筋混凝土  有限单元柔度法  梁柱单元  几何非线性  二阶效应
英文关键词:reinforced concrete,finite element flexibility method,beam-column element,geometrically nonlinear,second-order effect
基金项目:教育部高等学校博士学科点专项科研基金;国家自然科学基金
陈滔  黄宗明
重庆大学土木工程学院,重庆400045
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中文摘要:
      从有限单元柔度法的基本思想出发,基于完全拉格朗日格式(TL格式),建立了能考虑材料与几何双重非线性的一般化空间梁柱单元。适用于满足Euler-Bernoulli梁柱二阶分析理论假定的空间杆系结构非线性分析。另外,在梁柱单元截面分析中引入纤维模型,使其适用于解决钢筋混凝土这类复合材料结构的非线性分析问题。对钢筋混凝土双向偏心受压柱试验结果的模拟分析表明,本文所提方法是正确、可靠的,能有效地分析钢筋混凝土框架柱的材料与几何双重非线性问题。
英文摘要:
      Based on the basic idea of the finite element flexibility method and total Lagrangian formulation(TL formulation),the general spatial beam-column element with dual nonlinearity of material and geometry is established in this paper.The proposed beam-column element is applicable to the general nonlinear analysis of spatial framed structures that satisfy the basic assumptions of the second-order theory for Euler-Bernoulli beam-columns.Moreover,Fiber-model is introduced into the sectional analysis of the proposed beam-column element so that it can be applied to the nonlinear analysis of composite material structures such as reinforced concrete.Numerical simulations of experiment on reinforced concrete two-way eccentrically loaded columns shows that the proposed formulation is correct and reliable,and can effectively solve the dual nonlinear problem of material and geometry for reinforced concrete frame columns.
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