柔度法梁柱单元考虑损伤分布的高斯积分方法

郝效强, 李杰

郝效强, 李杰. 柔度法梁柱单元考虑损伤分布的高斯积分方法[J]. 工程力学, 2012, 29(5): 19-25.
引用本文: 郝效强, 李杰. 柔度法梁柱单元考虑损伤分布的高斯积分方法[J]. 工程力学, 2012, 29(5): 19-25.
HAO Xiao-qiang, LI Jie. NEW INTEGRATION METHOD FOR FORCE-BASED BEAM-COLUMN ELEMENT IN CONSIDERATION OF DAMAGE DISTRIBUTION[J]. Engineering Mechanics, 2012, 29(5): 19-25.
Citation: HAO Xiao-qiang, LI Jie. NEW INTEGRATION METHOD FOR FORCE-BASED BEAM-COLUMN ELEMENT IN CONSIDERATION OF DAMAGE DISTRIBUTION[J]. Engineering Mechanics, 2012, 29(5): 19-25.

柔度法梁柱单元考虑损伤分布的高斯积分方法

基金项目: 国家自然科学基金委创新研究群体项目(50621062);国家自然科学基金-重大研究计划项目(90715033)
详细信息
    作者简介:

    郝效强(1980-),男,安徽临泉人,博士生,主要从事工程抗震、结构性态设计与控制、结构评估等方面的研究(E-mail: xiaoqiang_hao@126.com).

  • 中图分类号: TU318

NEW INTEGRATION METHOD FOR FORCE-BASED BEAM-COLUMN ELEMENT IN CONSIDERATION OF DAMAGE DISTRIBUTION

  • 摘要: 分析了积分方案对基于柔度法梁-柱单元模型的影响,将高斯积分和钢筋混凝土梁、柱构件损伤特点结合起来,提出了考虑损伤分布的积分方法。将单元非线性区域划分为塑性铰区、开裂区、过渡区,一方面赋予高斯积分区域物理含义,另一方面使得塑性铰区域可以向相邻的开裂区、过渡区扩展,实现塑性铰长度动态变化。对钢筋混凝土框架结构进行静力非线性分析,结果表明:该积分方案更能反映梁、柱构件的实际损伤,具有较好的数值稳定性和收敛性。
    Abstract: The effects of an integration method in forming beam-column element based on flexibility method are analyzed and a new integration method in consideration of the damage distribution of reinforced concrete beams and columns is proposed. The nonlinear zone of beam-column element is divided into a plastic-hinge zone, a crack zone and a transition zone, which correspond to the weight coefficients of Gauss integration. The plastic-hinge zone could extend to the crack and transition zones if needed, thus the plastic-hinge length varies dynamically in nonlinear analysis. The study case shows that the new integration method is more consistent with the actual damage state of beams and columns, and results in better numerical stability and convergence.
  • [1] Neuenhofer A, Filippou F C. Evaluation of nonlinear frame finite-element models [J]. Journal of Structural Engineering, ASCE, 1997, 123(7): 958-966.  
    [2] Scott M H, Fenves G L. Plastic hinge integration methods for force-based beam-column elements [J]. Journal of Structural Engineering, ASCE, 2006, 132(2): 244-252.  
    [3] Taucer F F, Spacone E, Filippou F C. A fiber beam-column element for seismic response analysis of reinforced concrete structures [R]. Report No.UCB/EERC-91/17. Earthquake Engineering Research Center, University of California at Berkeley, 1991.
    [4] Coleman J, Spacone E. Localization issues in force-based frame elements [J]. Journal of Structural Engineering, ASCE, 2001, 127(11): 1257-1265.  
    [5] Ciampi V, Carlesimo L. A nonlinear beam element for seismic analysis of structures [C]. Proceedings, 8th Europe Conference on Earthquake Engineering, Laboratorio Nacional de Engenharia Civil, Lisbon, Portugal, 1986.
    [6] Spacone E, Ciampi V, Filippou F C. Mixed formulation of nonlinear beam finite element [J]. Computers and Structures, 1996, 58: 71-83.  
    [7] Paulay T, Priestley M J N. Seismic design of reinforced concrete and masonry buildings [M]. Hoboken, NJ, USA: John Wiley & Sons, Inc., 1992.
    [8] Park R, Paulay T. Reinforced concrete structures [M]. New York, London, Sydney, Toronto: John Wiley & Sons, Inc., 1975.  
    [9] 朱伯龙, 董振祥. 钢筋混凝土非线性分析[M]. 上海: 同济大学出版社, 1985. Zhu Bolong, Dong Zhenxiang. Nonlinear analysis of reinforced concrete [M]. Shanghai: Tongji University Press, 1985. (in Chinese)
    [10] 姜锐, 苏小卒. 塑性铰长度经验公式的比较研究[J]. 工业建筑, 2008, 38(增刊): 425-430. Jiang Rui, Su Xiaozu. Comparative study on emprical plastic hinge length formulas [J]. Industrial Construction, 2008, 38(Suppl): 425-430. (in Chinese)
    [11] 北京金土木软件技术有限公司, 中国建筑标准设计研究院. SAP2000 中文版使用指南[M]. 北京: 人民交通出版社, 2006. Civil King Software Technology Co., Ltd., China Institute of Building Standard Design & Research. User’s guide of SAP2000 of Chinese version [M]. Beijing: China Communications Press, 2006. (in Chinese)
    [12] 薛伟辰, 胡翔. 四层两跨高性能混凝土框架的抗震性能[J]. 建筑结构学报, 2007, 28(5): 69-79. Xue Weichen, Hu Xiang. Seismic performance of four-story two-bay HPC frame [J]. Journal of Building Structures, 2007, 28(5): 69-79. (in Chinese)
    [13] Sanjayan J G, Darvall P LeP. Singularities in RC beam elements with finite-length hinges [J]. Journal of Structural Engineering, ASCE, 1995, 121(1): 39-47.  
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出版历程
  • 收稿日期:  2012-05-08
  • 修回日期:  2012-05-08
  • 刊出日期:  2012-05-24

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