高层基础隔震建筑非平稳随机响应改进算法
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摘要
利用虚拟激励法和等效线性化技术,计算了基础隔震高层建筑的非平稳随机响应。研究了高阶振型对高层隔震建筑响应的影响,提出了针对基础隔震结构随机响应分析的改进算法。计算中假定隔震建筑上部结构在大震作用下依然保持弹性状态,塑性变形集中在隔震层处,隔震层的恢复力-位移本构关系采用Bouc-Wen模型来描述。上部结构只需要提取前若干阶振型参与动力计算,剩余的高阶振型对结构响应的贡献按照静力校正技术求得。研究表明,改进的计算方法在没有显著增加计算量的同时,通过近似考虑高阶振型的影响,有效地提高了计算的精度。
The seismic response analysis of base-isolated high-rise buildings subjected to non-stationary excitation was performed with the pseudo excitation method and the equivalent linearization technique.The influence of higher order vibrational modes of a base-isolated high-rise building on its responses was investigated,and an improved method for stochastic seismic response analysis of such a building was presented.The upper structure of the isolated system was assumed to remain elastic under major earthquakes,and the plastic deformation was assumed to concentrate in the isolation layer.The constitutive relationship between restoring force and displacement of isolation layers was described with Bouc-Wen model.The lower order vibrational modes of the upper structure were taken into account in the dynamic response analysis,while the contribution of the remaining higher order modes to the structural responses was approximated by using the static correction procedure.It was shown that the new method improves the computing accuracy of the responses by taking the contribution of higher order modes into account,while only increases the computational effort slightly.
The seismic response analysis of base-isolated high-rise buildings subjected to non-stationary excitation was performed with the pseudo excitation method and the equivalent linearization technique.The influence of higher order vibrational modes of a base-isolated high-rise building on its responses was investigated,and an improved method for stochastic seismic response analysis of such a building was presented.The upper structure of the isolated system was assumed to remain elastic under major earthquakes,and the plastic deformation was assumed to concentrate in the isolation layer.The constitutive relationship between restoring force and displacement of isolation layers was described with Bouc-Wen model.The lower order vibrational modes of the upper structure were taken into account in the dynamic response analysis,while the contribution of the remaining higher order modes to the structural responses was approximated by using the static correction procedure.It was shown that the new method improves the computing accuracy of the responses by taking the contribution of higher order modes into account,while only increases the computational effort slightly.
引文
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[8]Cacciola P,Maugeri N,Muscolino G.A modal correction method for non-stationary random vibrations of linear systems[J].Probabilistic Engineering Mechanics,2007,22:170-180.
[9]Naeim F,Kelly J M.Design of seismic isolated structures:from theory to practice[M].Chichester,England:John Wiley&Sons,Inc,1999.
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[12]Lin J H,Shen W P,Williams F W.Accurate high-speed computation of non-stationary random structural response[J].Engineering Structures,1997,19(7):586-593.
[2]Schuéller G I,Pradlwarter H J,Schenk C A.Non-stationary response of large linear FE-models under stochastic loading[J].Computers and Structures,2003,81(8-11):937-947.
[3]Pradlwarter H J,Schu ller G I,Schenk C A.A computational procedure to estimate the stochastic response of large non-linear FE-models[J].Computer Methods in Applied Mechanics Engineering,2003,192(7-8):777-801.
[4]王军,林家浩.剪切型非线性滞迟系统随机地震响应的虚拟激励分析[J].固体力学学报,2001,22(1):23-30.WANG Jun,LIN Jia-hao.Seismic random response analysis of non-linear hysteretic systems with pseudo excitation method[J].Acta Mechanica Solida Sinica,2001,22(1):23-30.
[5]杜永峰,李慧,金德保,等.大震下被动与智能隔震结构动力可靠度的对比[J].地震工程与工程振动,2006,26(4):212-219.DU Yong-feng,LI Hui,JIN De-bao,et al.Comparison of seismic reliability of passive and smart isolated structures under major earthquake[J].Earthquake Engineering and Engineering Vibration,2006,26(4):212-219.
[6]Di Paola M,Failla G.A correction method for dynamic analysis of linear systems[J].Computers and Structures,2004,82:1217-1226.
[7]Benfratello S,Muscolino G.Mode-superposition correction method for deterministic and stochastic analysis of structural systems[J].Computers and Structures,2001,79:2471-2480.
[8]Cacciola P,Maugeri N,Muscolino G.A modal correction method for non-stationary random vibrations of linear systems[J].Probabilistic Engineering Mechanics,2007,22:170-180.
[9]Naeim F,Kelly J M.Design of seismic isolated structures:from theory to practice[M].Chichester,England:John Wiley&Sons,Inc,1999.
[10]Wen Y K.Equivalent linearization for hysteretic systems under random excitation[J].Journal of Applied Mechanics,1980,47(1):150-154.
[11]Lin J H,Zhang Y H,Zhao Y.Seismic spatial effects on long-span bridge response in non-stationary inhomogeneous random fields[J].Earthquake Engineering and Engineering Vibration,2005,4(1):75-82.
[12]Lin J H,Shen W P,Williams F W.Accurate high-speed computation of non-stationary random structural response[J].Engineering Structures,1997,19(7):586-593.
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