基于能量原理的隔震结构地震响应预测法研究
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摘要
建立地震作用下隔震结构在最大地震响应时刻的能量平衡方程,给出隔震结构隔震层和非隔震层的弹性振动能、塑性能的表达式,推导出基于能量平衡的隔震结构地震响应预测式。以顶部隔震、层间隔震、基础隔震结构为仿真对象,利用时程分析法的数值解验证了地震响应预测式的准确性,比较研究了三种隔震结构的抗震性能。结果表明:对于不同的输入地震波,能量法的地震响应预测曲线包络了多数时程分析的结果,能量法能够较准确地预测隔震结构在地震作用下的响应值。
The energy balance equation of an isolated structure is established at the moment of maximum earthquake responses.Expressions of elastic vibration energy and plastic energy for isolated layers and non-isolated layers are presented.Then,based on the energy principle,formulas for predicting earthquake responses are derived.Three numerical models,including a top-isolated structure,a storey-isolated structure and a base-isolated structure,are used to validate the accuracy of the predicted responses.Finally,the aseismic properties of the three isolated structures are discussed.Results show that response prediction curves can match well and envelope most of the time history responses for a class of earthquake records.Energy method can be used to predict earthquake responses of isolated structures.
The energy balance equation of an isolated structure is established at the moment of maximum earthquake responses.Expressions of elastic vibration energy and plastic energy for isolated layers and non-isolated layers are presented.Then,based on the energy principle,formulas for predicting earthquake responses are derived.Three numerical models,including a top-isolated structure,a storey-isolated structure and a base-isolated structure,are used to validate the accuracy of the predicted responses.Finally,the aseismic properties of the three isolated structures are discussed.Results show that response prediction curves can match well and envelope most of the time history responses for a class of earthquake records.Energy method can be used to predict earthquake responses of isolated structures.
引文
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[3]经杰,叶列平,钱稼茹.基于能量概念的剪切型多自由度体系弹塑性地震位移反应分析[J].工程力学,2003,20(3):31―37.Jing Jie,Yie Lieping,Qian Jiaru.Inelastic seismic response of lumped mass mdof systems based on energy concept[J].Engineering Mechnanics,2003,20(3):31―37.(in Chinese)
[4]Zhou Fulin,Yan Ping,Xian Qiaolin,Huang Xiangyun,Yang Zhen.Research and application of seismic isolation system for bullding structures[J].Joumal of Architecture and Civil Engineering,2006,23(2):1―8.
[5]Vasant A,Matsagar,Jangid R S.Influence of isolator characteristics on the response of base-isolated structures[J].Engineering Structures,2004,26:1735―1749.
[6]村上勝英,北村春幸,松島豊.2質点系中間層免震構造モデルの地震応答予測[J].日本建築学会構造系論文集,第549号,2001:51―58.Katsuhide Murakami,Haruyuki Kitamura,Yutaka Matsushima.The prediction for seismic responses of the two-mass model with mid-story isolation system[J].Assembel of disquistion reports by japanese architecture academy structure branch,No.549,2001:51―58.(in Japanese)
[7]赵光伟,裴星洙,周晓松.基于能量平衡的建筑结构地震响应预测法基础研究[J].工业建筑,2006,36(增刊):182―187.Zhao Guangwei,Pei Xingzhu,Zhou Xiaosong.The fundamental research on prediction method of structural earthquake response based on energy balance[J].Industrial Construction,2006,36(Supplement):182―187.(in Chinese)
[8]张颖,谭平,周福霖.基于能量平衡的层间隔震结构地震响应预测[J].振动与冲击,2009,28(4):137―141.Zhang Ying,Tan Ping,Zhou Fulin.Seismic response prediction for a story-isolation structure based on energy balance method[J].Journal of Vibration and Shock,2009,28(4):137―141.(in Chinese)
[9]肖明葵,刘纲,白绍良.基于能量反应的地震动输入选择方法讨论[J].世界地震工程,2006,22(3):89―94.Xiao Mingkui,Liu Gang,Bai Shaoliang.Some methods of selecting earthquake wave based on energy responses[J].World Earthquake Engineering,2006,22(3):89―94.(in Chinese)
[10]程光煜,叶列平.弹塑性SDOF系统的地震输入能量谱[J].工程力学,2009,25(2):28―39.Cheng Guangyu,Ye Lieping.Earthquake input energy sprctrum for inelastic SDOF systems[J].Engineering Mechnanics,2009,25(2):28―39.(in Chinese)
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