• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
  • Scopus
  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
  • Chinese S&T Journal Citation Reports
  • Chinese Science Citation Database
Volume 55 Issue 5
Oct.  2020
Turn off MathJax
Article Contents
HAO Runxia, WANG Mouting, JIA Shuo, LI Gang. Static Pushover Analysis of Frame Structure Based on Force Analogy Method[J]. Journal of Southwest Jiaotong University, 2020, 55(5): 1028-1035. doi: 10.3969/j.issn.0258-2724.20180100
Citation: HAO Runxia, WANG Mouting, JIA Shuo, LI Gang. Static Pushover Analysis of Frame Structure Based on Force Analogy Method[J]. Journal of Southwest Jiaotong University, 2020, 55(5): 1028-1035. doi: 10.3969/j.issn.0258-2724.20180100

Static Pushover Analysis of Frame Structure Based on Force Analogy Method

doi: 10.3969/j.issn.0258-2724.20180100
  • Received Date: 14 Feb 2018
  • Rev Recd Date: 25 May 2020
  • Available Online: 19 Jun 2020
  • Publish Date: 01 Oct 2020
  • In traditional pushover analysis, solving nonlinear deformation need to update and decompose global stiffness matrix in real time, which costs many computing resources. The static pushover analysis for nonlinear fiber beam element is conducted on the basis of the force analogy method (FAM). Firstly, the elastic displacement under the lateral load was calculated by the factorization of elastic stiffness matrix before the iteration of nonlinear deformation. Secondly, the computational cost of back iteration was decreased by utilizing the factorization result of elastic stiffness matrix and elastic displacement during iterations. Finally, the algorithm complexity theory was utilized to evaluate the efficiency of the proposed algorithm and a classical method. The computational results and algorithm time complexity of the two methods were compared through a numerical results of 2D eight-floor frame structure. Results show that with two methods the vertex displacement-base shear curve basically coincides as well as the story drift curve, and the maximum error of story drift is on the 3rd floor with 3.72%. Compared with the traditional method, the algorithm complexity of the proposed method is decreased about 80%, and its computing efficiency is increased at least five times.

     

  • loading
  • FREEMAN S A, NICOLETTI J P, TYRELL J V. Evaluation of existing buildings for seismic risk—a case study of puget sound naval shipyard[C]//Proceedings of 1st U.S. National Conference on Earthquake Engineering. Berkeley: Earth quake Engineering Research Institution, 1975: 113-122.
    陆新征, 蒋庆, 缪志伟, 等. 建筑抗震弹塑性分析[M]. 2版. 北京: 中国建筑工业出版社, 2015: 84-85.
    韩建平,吕西林,李慧. 基于性能的地震工程研究的新进展及对结构非线性分析的要求[J]. 地震工程与工程振动,2007,27(4): 15-23. doi: 10.3969/j.issn.1000-1301.2007.04.003

    HAN Jianping, LÜ Xinlin, LI Hui. State of the art of performance based earthquake engineering and need for structural nonlinear analysis[J]. Journal of Earthquake Engineering and Engineering Vibration, 2007, 27(4): 15-23. doi: 10.3969/j.issn.1000-1301.2007.04.003
    SAIIDI M, SOZEN M A. Simple nonlinear seismic analysis of R/C structures[J]. Journal of Structural Division (ASCE), 1981, 107(5): 937-951.
    FAIFAR P, GASPERSIC P. The N2 method for seismic damage analysis of RC buildings[J]. Earthquake Enginerring & Structure Dynamics, 1996, 25(1): 31-46.
    KRAWINKLER H, SENEVIRATNA G D P K. Pros and cons of a pushover analysis of seismic performance evaluation[J]. Engineering Structures, 1998, 20(4): 452-464.
    CHOPRA A K, GOEL R K. A modal pushover analysis procedure for estimating seismic demands for buildings[J]. Earthquake Engineering & Structure Dynamics, 2002, 31(3): 561-582.
    GUPTA B, EERI M, KUNNATH S K. Adaptive spectra-based pushover procedure for seismic evaluation of structres[J]. Earthquake Spectra, 2000, 16(2): 367-391. doi: 10.1193/1.1586117
    欧进萍,侯钢领,吴斌. 概率Pushover分析方法及其在结构体系抗震可靠度评估中的应用[J]. 建筑结构学报,2001,22(6): 81-86. doi: 10.3321/j.issn:1000-6869.2001.06.013

    OU Jinping, HOU Gangling, WU Bin. Random pushover analysis method and its application in earthquake-resistant reliability evaluation of structural systems[J]. Journal of Building Structures, 2001, 22(6): 81-86. doi: 10.3321/j.issn:1000-6869.2001.06.013
    朱杰江,吕西林,容柏生. 复杂体型高层结构的推覆分析方法和应用[J]. 地震工程与工程振动,2003,23(2): 26-36. doi: 10.3969/j.issn.1000-1301.2003.02.005

    ZHU Jiejiang, LÜ Xilin, RONG Baisheng. Pushover analysis method and its application to RC tall building with complex structural type[J]. Earthquake Engineering and Engineering Vibration, 2003, 23(2): 26-36. doi: 10.3969/j.issn.1000-1301.2003.02.005
    黄羽立,陆新征,叶列平,等. 基于多点位移控制的推覆分析算法[J]. 工程力学,2011,28(2): 18-23.

    HUANG Yuli, LU Xinzheng, YE Lieping, et al. A pushover analysis algorithm based on multiple point constrains[J]. Engineering Mechanics, 2011, 28(2): 18-23.
    LIN T H. Theory of inelastic structures[M]. New York: John Wiley & Sons, 1968: 43-45.
    WONG K K F, YANG R. Inelastic dynamic response of structures using force analogy method[J]. Journal of Engineering Mechanics, 1999, 125(10): 1190-1199. doi: 10.1061/(ASCE)0733-9399(1999)125:10(1190)
    李钢,刘啟凤,李宏男. 基于拟力法的MBC非线性控制[J]. 振动工程学报,2010,23(3): 324-332. doi: 10.3969/j.issn.1004-4523.2010.03.014

    LI Gang, LIU Qifeng, LI Hongnan. MBC nonlinear control strategy based on force analogy method[J]. Journal of Vibration Engineering, 2010, 23(3): 324-332. doi: 10.3969/j.issn.1004-4523.2010.03.014
    ZHANG Xin, WONG K K F, WANG Yi. Performance assessment of moment resisting frames during earthquake based on the force analogy method[J]. Engineering structures, 2007, 29(10): 2792-2802.
    李钢,李宏男,李瀛. 基于拟力法的消能减震结构地震反应分析[J]. 土木工程学报,2009,42(4): 55-63. doi: 10.3321/j.issn:1000-131X.2009.04.008

    LI Gang, LI Hongnan, LI Ying. Analysis of seismic response of structures with dissipation devices by using fictitious force method[J]. Engineering Structures, 2009, 42(4): 55-63. doi: 10.3321/j.issn:1000-131X.2009.04.008
    LI G, LI H. Seismic response analysis of structure with energy dissipation devices using force analogy method[J]. Structure Design of Tall & Special Buildings, 2011, 20(3): 291-313.
    李钢,余丁浩,李宏男. 基于拟力法的纤维梁有限元非线性分析方法[J]. 建筑结构学报,2016,37(9): 61-68.

    LI Gang, YU Dinghao, LI Hongnan. Nonlinear fiber beam element analysis based on force analogy method[J]. Journal of Building Structures, 2016, 37(9): 61-68.
    HAGER W W. Updating the inverse of a matrix[J]. Siam Review, 1989, 31(31): 221-239.
    何政, 欧进萍. 钢筋混凝土结构非线性分析[M]. 哈尔滨: 哈尔滨工业大学出版社, 2006: 188-194
    王晓东. 计算机算法设计与分析[M]. 3版. 北京: 电子工业出版社, 2007: 1-5.
    李钢,贾硕,李宏男. 基于算法复杂度理论的拟力法计算效率评价[J]. 计算力学学报,2018,35(2): 129-137. doi: 10.7511/jslx20170124001

    LI Gang, JIA Shuo, LI Hongnan. The efficiency evaluation of force analogy method based on the algorithm complexity theory[J]. Chinese Journal of Computational Mechanics, 2018, 35(2): 129-137. doi: 10.7511/jslx20170124001
    KIRSCH U. Reanalysis of structures: a unified approach for linear, nonlinear, static and dynamic systems[M]. New York: Springer Publishing Company, 2008: 266-269.
    GOLUBG H, VAN LOAN C F. Matrix computations[M]. Forth Edition. Beijing: Posts & Telecom Press, 2014: 12-13.
    KENT D C. Inelastic behaviour of reinforced concrete members with cyclic loading[D]. Christchurch: University of Canterbury, 1969.
    YASSIN M H M. Nonlinear analysis of prestressed concrete structures under monotonic and cyclic loads[D]. California: University of California, Berkeley, 1994.
    侯爽,欧进萍. 结构Pushover分析的侧向力分布及高阶振型影响[J]. 地震工程与工程振动,2004,24(3): 89-97. doi: 10.3969/j.issn.1000-1301.2004.03.012

    HOU Shuang, OU Jinping. A study of load pattern selection of pushover analysis and influence of higher modes[J]. Earthquake Engineering and Engineering Vibration, 2004, 24(3): 89-97. doi: 10.3969/j.issn.1000-1301.2004.03.012
    门进杰,史庆轩,周琦. 框架结构基于性能的抗震设防目标和性能指标的量化[J]. 土木工程学报,2008,41(9): 76-82. doi: 10.3321/j.issn:1000-131X.2008.09.012

    MEN Jinjie, SHI Qingxuan, ZHOU Qi. Performance-based seismic fortification criterion and quantified performance index for reinforced concrete frame structures[J]. China Civil Engineering Journal, 2008, 41(9): 76-82. doi: 10.3321/j.issn:1000-131X.2008.09.012
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(5)  / Tables(2)

    Article views(686) PDF downloads(24) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return