近场地震作用下考虑P-Δ效应的首层柱顶隔震结构地震反应分析
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摘要
近场地震所具有的位移和速度脉冲,会使得结构隔震层处形成较大的层间位移,结构的二阶效应不容忽视。首先,构造水平力偶来代替结构轴向力形成的附加弯矩,得到了一几何刚度矩阵,在此基础上提出了求解层间隔震结构P-Δ效应的免迭代计算方法;其次,分别选取了10组近场地震波和10组远场地震波,对层间隔震结构作了时程分析,研究了近场地震波对层间隔震响应的影响;最后,分析了近场地震作用下,P-Δ效应对层间隔震系统下部结构的影响。研究表明:近场地震作用下,层间隔震结构反应显著增大,在PGA=200cm/s2输入地震波下,P-Δ效应使得下部结构的响应增加50%左右。
Displacement and velocity pulses of near-field ground motions would yield larger storey drifts at the isolation layer of the structures,consequently the second order effects could not be neglected in this case.Firstly,based on a geometric stiffness matrix obtained by constructing the horizontal force couple to replace the additional moment induced by P-Δ effects,this paper represents a non-iterative method for evaluating performance of the inter-storey isolated structure considering P-Δ effects;Secondly,the influences of near-field ground motions on the responses of the isolated system are investigated by analyzing the responses of the inter-storey isolated structure with 10 near-field and 10 farfield earthquake records,respectively;Finally,the impacts of P-Δ effects on the responses of the substructure under near-field ground motions are discussed.The results show that the responses of the inter-storey isolated structure increase significantly when subjected to near-field ground motions,P-Δ effects enlarge the responses of the substructure about 50% under the input earthquake ground motions with PGA=200 cm/s2.
Displacement and velocity pulses of near-field ground motions would yield larger storey drifts at the isolation layer of the structures,consequently the second order effects could not be neglected in this case.Firstly,based on a geometric stiffness matrix obtained by constructing the horizontal force couple to replace the additional moment induced by P-Δ effects,this paper represents a non-iterative method for evaluating performance of the inter-storey isolated structure considering P-Δ effects;Secondly,the influences of near-field ground motions on the responses of the isolated system are investigated by analyzing the responses of the inter-storey isolated structure with 10 near-field and 10 farfield earthquake records,respectively;Finally,the impacts of P-Δ effects on the responses of the substructure under near-field ground motions are discussed.The results show that the responses of the inter-storey isolated structure increase significantly when subjected to near-field ground motions,P-Δ effects enlarge the responses of the substructure about 50% under the input earthquake ground motions with PGA=200 cm/s2.
引文
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[2]周坚.也论橡胶支座与R/C柱串联隔震系统的刚度系数[J].工程力学,2000,3(A03):45—49.
[3]李慧,姚云龙,杜永峰,等.叠层橡胶支座与柱串联体系动力失稳特性探讨[J].世界地震工程,2005,21(1):18—23.Li Hui,Yao Yunlong,Du Yongfeng,et al.Discussion on dynamics instability behavior of serialsystem of laminated rubber bearing with column[J].World Earthquake Engineering,2005,21(1):18—23.
[4]Jangid R S,Kelly J M.Base isolation for near-faultmotions[J].Earthquake Engineering and StructuralDynamics,2001,30(5):691—707.
[5]Iwan W D.Drift spectrum:Measure of demand forearthquake ground motions[J].Journal of StructuralEngineering,1997,123(4):397—404.
[6]杨迪雄,李刚,程耿东.近断层脉冲型地震动作用下隔震结构地震反应分析[J].地震工程与工程振动,2005,25(2):119—125.Yang Dixiong,Li Gang,Cheng Gengdong.Seismicanalysis of base-isolated structures subjected to near-fault pulse-like ground motions[J].EarthquakeEngineering and Engineering Vibration,2005,25(2):119—125.
[7]Wilson E L,Habibullah A.Static and dynamicanalysis of multi-story buildings including P-Deltaeffects[J].Earthquake Spectra,1987,3(2):289—298.
[8]Wilson E L.Three Dimensional Static and DynamicAnalysis of Structures:A Physical Approach withEmphasis on Earthquake Engineering[M].3rd ed.Berkly,California:Computers and Structures,Inc.,1999.
[9]马长飞,谭平,张亚辉,等.考虑P-Δ效应的柱顶隔震结构的动力响应分析[J].土木工程学报,2010,43(S):230—234.Ma Changfei,Tan Ping,Zhang Yahui,et al.Dynamic responses analysis of structures withisolators on the top of the columns considering P-Δeffects[J].China Civil Engineering Journal,2010,43(S):230—234.
[10]Loh C H,Wan S,Liao W I.Effects of hystereticmodel on seismic demands:consideration of near-faultground motions[J].The Structural Design of TallBuildings,2002,11(3):155—169.
[11]Chopra A K,Chintanapakdee C.Comparing responseof SDF systems to near-fault and far-fault earthquakemotions in the context of spectral regions[J].Earthquake Engineering and Structural Dynamics,2001,30(1):1 769—1 789.
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