基于位移自适应Pushover分析方法
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摘要
为了克服传统Pushover方法的局限性,本文提出了一种基于位移自适应Pushover分析方法,这种方法采用位移加载方式进行Pushover。克服了传统基于力的Pushover方法无法准确预测性能指标的缺陷,同时不仅能考虑结构屈服后刚度变化还能(改成以及)考虑高阶振型影响。同时结合本文的Pushover方法,提出了新的目标位移确定方法。为了验证本文方法的有效性,选择了两个基准钢框架进行动力弹塑性时程分析,将各种计算方法结果与动力弹塑性时程分析结果进行比较。结果表明:综合来看,基于位移自适应Pushover方法与其他方法相比能准确预测结构在地震下的楼层位移、层间位移角以及楼层剪力。
In order to overcome the limitations of the traditional Pushover method,a displacement adaptive pushover analysis method is proposed in this paper. This method uses displacement loading to carry out Pushover. It overcomes the defect that the traditional force based Pushover method can not predict the performance index accurately,not only can consider the influence of the degradation of the stiffness after the structures yield but also the higher mode effects. Combine the proposed pushover procedure,the innovative approach to determine the target displacement is presented. In order to verify the validation of the proposed method,the dynamic elastic-plastic time history analysis of two benchmark steel frames is carried out,and the results of various computational methods are compared with the results of dynamic elastic-plastic time history analysis. The results indicate that: compared with other methods,displacement adaptive Pushover method can accurately predict the story displacement,storey drift,and storey shear force distribution of the structure under earthquake.
In order to overcome the limitations of the traditional Pushover method,a displacement adaptive pushover analysis method is proposed in this paper. This method uses displacement loading to carry out Pushover. It overcomes the defect that the traditional force based Pushover method can not predict the performance index accurately,not only can consider the influence of the degradation of the stiffness after the structures yield but also the higher mode effects. Combine the proposed pushover procedure,the innovative approach to determine the target displacement is presented. In order to verify the validation of the proposed method,the dynamic elastic-plastic time history analysis of two benchmark steel frames is carried out,and the results of various computational methods are compared with the results of dynamic elastic-plastic time history analysis. The results indicate that: compared with other methods,displacement adaptive Pushover method can accurately predict the story displacement,storey drift,and storey shear force distribution of the structure under earthquake.
引文
[1] Chopra A K,Goel R K. A Modal Pushover Analysis Procedure for Estimating Seismic Demands for Buildings[J]. Earthquake Engineering&Structure Dynamics,2002,31:561-582
[2] Chopra A K,Goel R K. A Modal Pushover Analysis Procedure To Estimate Seismic Demand for Unsymmetric-Plan Buildings[J]. Earthquake Engineering Structure Dynamics,2004,33:903~927
[3]李宁,翟长海,谢礼立.基于能量的模态Pushover分析方法[J].建筑结构学报,2009,30(6):101~106Li Ning,Zhai Chang-hai,Xie Li-li,Energy-Based Modal Pushover Analysis Method[J]. Journal of Building Structures,2009,30(6):101~106(in Chinese)
[4]毛建猛,谢礼立,翟长海.模态Pushover分析方法的研究和改进[J].地震工程与工程振动,2006,(6):50~55Mao Jian-meng,Xie Li-li,Zhai Chang-hai. Study on and Improvements In Modal Pushover Analysis[J].Earthquake Engineering and Engineering Vibration,2006,(6):50~55(in Chinese)
[5] Kunnath S K. Identification of Modal Combination for Nonlinear Static Analysis of Building Structures[J].Computer-aided Civil and Infrastructure Engineering,2004:246~259
[6] Jan T S, Liu M W, Kao Y C. An Upper-Bound Pushover Analysis Procedure for Estimating The Seismic Demands of High-Rise Buildings[J]. Engineering Structures,2004,26:11728
[7] Kreslin M,Fajfar P. The Extended N2 Method Taking Into Account Higher Mode Effects In Elevation[J].Earthquack Engineering and Structure Dynamics 2011,40(14):1571~1589
[8] Gupta B, Kunnath S. K. Adaptive Spectra-Based Pushover Procedure for Seismic Evaluation of Structures[J]. Earthquake Spectra,2000,16(2):367~391
[9] Kalkan E,Kunnath SK. Adaptive Modal Combination Procedure for Nonlinear Static Analysis of Building Structures[J]. Journal of Structural Engineering,2006,132(11):1721~1731
[10] Fajfar P. A Nonlinear Analysis Method for PerformanceBased Seismic Design[J]. Earthquake Spectra,2000,16(3):573~592
[11] Chopra A K,Goel R K,Chintanapakdec C. Evaluation of a Modified MPA Procedure Assuming Higher Modes as Elastic to Estimate Seismic Demands[M]Earthquake Spectra,2004:757~778
[12] Kalkan E. Adaptive Modal Combination Procedure for Nonlinear Static Analysis of Building Structures[J].Journal of Structural Engineering,2006,132(11):1721~1731
[13] Ohtori Y,Chirstenson R E,Spencer J B F. Benchmark Control Problems for Seismically Excited Nonlinear Buildings[J]. Journal of Engineering Mechanics,2015,130(4):366~385
[14] Open Sees. Open System for Earthquake Engineering Simulation,2005http://opensees. berkeley. edu
[15] Federal Emergence Management Agency. Improvement of Nonlinear Staticseismic Analysis Procedure. Report FEMA-440[R]. Washington(DC),2005
[2] Chopra A K,Goel R K. A Modal Pushover Analysis Procedure To Estimate Seismic Demand for Unsymmetric-Plan Buildings[J]. Earthquake Engineering Structure Dynamics,2004,33:903~927
[3]李宁,翟长海,谢礼立.基于能量的模态Pushover分析方法[J].建筑结构学报,2009,30(6):101~106Li Ning,Zhai Chang-hai,Xie Li-li,Energy-Based Modal Pushover Analysis Method[J]. Journal of Building Structures,2009,30(6):101~106(in Chinese)
[4]毛建猛,谢礼立,翟长海.模态Pushover分析方法的研究和改进[J].地震工程与工程振动,2006,(6):50~55Mao Jian-meng,Xie Li-li,Zhai Chang-hai. Study on and Improvements In Modal Pushover Analysis[J].Earthquake Engineering and Engineering Vibration,2006,(6):50~55(in Chinese)
[5] Kunnath S K. Identification of Modal Combination for Nonlinear Static Analysis of Building Structures[J].Computer-aided Civil and Infrastructure Engineering,2004:246~259
[6] Jan T S, Liu M W, Kao Y C. An Upper-Bound Pushover Analysis Procedure for Estimating The Seismic Demands of High-Rise Buildings[J]. Engineering Structures,2004,26:11728
[7] Kreslin M,Fajfar P. The Extended N2 Method Taking Into Account Higher Mode Effects In Elevation[J].Earthquack Engineering and Structure Dynamics 2011,40(14):1571~1589
[8] Gupta B, Kunnath S. K. Adaptive Spectra-Based Pushover Procedure for Seismic Evaluation of Structures[J]. Earthquake Spectra,2000,16(2):367~391
[9] Kalkan E,Kunnath SK. Adaptive Modal Combination Procedure for Nonlinear Static Analysis of Building Structures[J]. Journal of Structural Engineering,2006,132(11):1721~1731
[10] Fajfar P. A Nonlinear Analysis Method for PerformanceBased Seismic Design[J]. Earthquake Spectra,2000,16(3):573~592
[11] Chopra A K,Goel R K,Chintanapakdec C. Evaluation of a Modified MPA Procedure Assuming Higher Modes as Elastic to Estimate Seismic Demands[M]Earthquake Spectra,2004:757~778
[12] Kalkan E. Adaptive Modal Combination Procedure for Nonlinear Static Analysis of Building Structures[J].Journal of Structural Engineering,2006,132(11):1721~1731
[13] Ohtori Y,Chirstenson R E,Spencer J B F. Benchmark Control Problems for Seismically Excited Nonlinear Buildings[J]. Journal of Engineering Mechanics,2015,130(4):366~385
[14] Open Sees. Open System for Earthquake Engineering Simulation,2005http://opensees. berkeley. edu
[15] Federal Emergence Management Agency. Improvement of Nonlinear Staticseismic Analysis Procedure. Report FEMA-440[R]. Washington(DC),2005