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| Incremental dynamic analysis method based on force analogy method |
| HAO Runxia1,YANG Zuoxu1,LI Gang2,YU Dinghao2,JIA Shuo2 |
1.College of Civil Engineering,Inner Mongolia University of Science & Technology,Baotou 014010,China；
2.State Key Laboratory of Costal and Offshore Engineering，Dalian University of Technology，Dalian 116024,China |
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Abstract Incremental dynamic analysis (IDA) method is an effective method to evaluate the seismic performance of structures,but it needs a large number of nonlinear dynamic time history analysis,which requires a large amount of calculation work and time consuming,especially for large and complex structures.An incremental dynamic analysis method based on pseudo-force method (FAM) was proposed in this paper.By introducing additional fictitious loads,the global stiffness matrix of the IDA equation of motion was kept unchanged all the time when the equation of motion was solved nonlinearly.Under the excitation of multiple amplitude-modulated ground motions,by storing and calling the specific stiffness matrix,the reuse of the whole stiffness matrix in the whole process of IDA analysis was realized,and then the calculation efficiency was improved.The time complexity evaluation method was used to quantitatively compare the calculation efficiency of this method with that of the traditional IDA method.The calculation results and time complexity of the two methods were compared through the IDA analysis of the 8-story reinforced concrete frame structure.The accuracy and efficiency of the method were verified.
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Received: 14 November 2017
Published: 15 February 2019
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[1] Bertero V V. Strength and deformation capacities of buildings under extreme environments [C].// Pister K S.Structural Engineering and Structural Mechanics, Englewood Cliffs, NJ: Prentice-Hall, 1977: 211-255.
[2] Vamvatsikos D, Cornell C A. Incremental dynamic analysis [J]. Earthquake Engineering and Structural Dynamics, 2002, 31(3): 491-514.
[3] 陆新征，叶列平，缪志伟等． 建筑抗震弹塑性分析：原理、模型与在ABAQUS，MSC．MARC和SAP2000上的实践［M］．北京：中国建筑工业出版社，2009：105-117.
Lu Xin-zheng, Ye Lie-ping, Miao Zhi-wei, et al. Elasto-plastic analysis of buildings against earthquake:theory, model and implementation on ABAQUS, MSC.MARC and SAP2000 [M]. Beijing: China Architecture ＆ Building Press,2009:105-117 (in Chinese)
[4] 梁丹，梁兴文. RC框架结构抗地震倒塌性能评估的简化方法[J]. 工程力学,2017,34(02):102-110.
Liang Dan,Liang Xing-wen.A simplified method for collapse-resistant performance evaluation of RC frame structures. [J]. Engineering Mechanics, 2017,34(02): 102-110. (in Chinese)
[5] Vamvatsikos D, Cornell C A. Direct estimation of seismic demand and capacity of multi-degree of freedom systems through incremental dynamic analysis of single-degree-of-freedom approximation [J]. Journal of Structural Engineering(ASCE), 2005, 131(4): 589－599.
[6] Mofid S, Zarfam P, Raeisi Fard B. On the modal incremental dynamic analysis [J]. The Structural Design of Tall and Special Buildings, 2005, 14(4): 315-329.
[7] Han S W, Chopra A K. Approximate incremental dynamic analysis using the modal pushover analysis procedure [J]. Earthquake Engineering and Structural Dynamics, 2006, 35: 1853－1873.
[8] 王经纬. 基于模态增量动力分析的钢筋混凝土框架结构抗震性能评估[D]. 兰州：兰州理工大学，2016.
Wang Jing-wei, Seismic performance evaluation of reinforced concrete frame based on modal incremental dynamic analysis [D]. Lanzhou: Lanzhou University of Technology, 2016.(in Chinese)
[9] Vejdani-Noghreiyan H R, Shooshtari A, Comparison of exact IDA and approximate MPA－based IDA for reinforced concrete frames[C]. //The 14th World Conference on Earthquake Engineering, Beijing: 2008.
[10] 李宁，翟长海，谢礼立. 单向偏心结构的简化增量动力分析方法[J]. 工程力学，2011，28(5)：8-12.
Li Ning, Zhai Chang-hai, Xie Li-li. Simplified increment dynamic analysis method for uniaxial plan-asymmentric structures [J]. Engineering Mechanics, 2011, 28(5): 8-12. (in Chinese)
[11] 阴斌松. 钢筋混凝土筒中筒结构非线性分析方法研究[D]. 长沙：湖南大学，2009.
Yin Bin-song. Research on nonlinear analysis methods of reinforced concrete tube in tube structure [D]. Changsha: Hunan University, 2009. (in Chinese)
[12] Wilson E L. 结构静力与动力分析:强调地震工程学的物理方法[M]． 北京:中国建筑工业出版社,2006: 212-225.
Wilson E L. Structural static and dynamic analysis：Emphasizing the physical methods of seismic engineering[M] .Beijing: China Architectural Industry Press, China, 2006: 212-225.(in Chinese)
[13] 汪梦甫，汪帜辉，刘飞飞. 增量动力弹塑性分析方法的改进及应用[J]. 地震工程与工程振动, 2012, 32(1): 30-35.
Wang Meng-fu, Wang Zhi-hui, Liu Fei-fei. Improved method for incremental dynamic analysis and its application [J]. Journal of Earthquake Engineering and Engineering Vibration, 2012, 32(1): 30-35. (in Chinese)
[14] 吕大刚，于晓辉，王光元. 单地震动记录随机增量动力分析[J]. 工程力学，2010，27(增刊I)：53-58.
Da-gang, Yu Xiao-hui, Wang Guang-yuan. Single-record random incremental dynamic analysis [J]. Engineering Mechanics, 2010, 27(Sup.I): 53-58. (in Chinese)
[15] 汪梦甫，曹秀娟，孙文林. 增量动力分析方法的改进及其在高层混合结构地震危害性评估中的应用[D]. 工程抗震与加固改造，2010，32(1)：104-121.
Wang Meng-fu, Cao Xiu-juan, Sun Wen-lin. Incremental dynamic analysis applied to seismic risk assessment of hybrid structure [D]. Earthquake Resistant Engineering and Retrofitting, 2010, 32(1): 104-121. (in Chinese)
[16] Lin T H.Theory of inelastic structures [M]. New York:John Wiley & Sons, Inc., 1968: 43-55.
[17] 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．
[18] 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.
Li Gang, Liu Qi-feng, Li Hong-nan. MBC nonlinear control strategy based on force analogy method [J]. Journal of Vibration Engineering, 2010, 23(3): 324-332. (in Chinese)
[19] Li G, Li H. Seismic response analysis of structure with energy dissipation devices using force analogy method [J]. Structural Design of Tall & Special Buildings, 2011, 20(3): 291-313.
[20] Zhang Xin, Kevin K F Wong, Wang Yi. Performance assessment of moment resisting frames during earthquakes based on the force analogy method. [J]. Engineering Structures, 2007, 29(10): 2792-2802.
[21] 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(09)：61-68. |
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