在地震动水平与摇摆分量作用下高层结构随机地震反应
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摘要
根据地震作用的概率统计特征,研究剪切型高层结构在地震动的水平与摇摆分量联合作用下的随机反应。建立了在地震动水平与摇摆分量联合作用下高层结构的振动方程,推导出在平稳随机地震作用下结构体系的反应功率谱密度函数,得到结构体系反应的各项统计特征量计算表达式。在此基础上,编制相应的计算机程序,对实际结构进行数值计算。研究结果表明:地震的摇摆分量对高层结构的位移影响较大,不可忽视。
According to the characteristics of probability and statistics of seismic action,random response of shear type high-layer structures in combined action of horizontal and rocking ground motions was discussed.The vibration equation of high-layer structures was derived in combined action of horizontal and rocking ground motions.Based on analysis of random response of shear type high-layer structures subject to multiple seismic inputs,some formulas were gotten to calculate various statistical characteristics of response of structures.Program was made and numerical calculations for some practical structures were carried out.The results show that rocking component of ground motions has great effects on high-layer building,which should not be neglected.
According to the characteristics of probability and statistics of seismic action,random response of shear type high-layer structures in combined action of horizontal and rocking ground motions was discussed.The vibration equation of high-layer structures was derived in combined action of horizontal and rocking ground motions.Based on analysis of random response of shear type high-layer structures subject to multiple seismic inputs,some formulas were gotten to calculate various statistical characteristics of response of structures.Program was made and numerical calculations for some practical structures were carried out.The results show that rocking component of ground motions has great effects on high-layer building,which should not be neglected.
引文
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[9]李芳.多维地震动作用下高层结构随机振动反应分析[D].长沙:中南大学土木建筑学院,2005.LI Fang.The analysis of random response of high-layerstructures to multiple seismic inputs[D].Changsha:School of Civil and Architectural Engineering,CentralSouth University,2005.
[2]R.W.克拉夫,J.彭津.结构动力学[M].王光远,等译.北京:科学出版社,1981.Clough R W,Penien J.Dynamics of structures[M].WANG Guan-yuan,et al,translate.Beijing:SciencePress,1981.
[3]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998.OU Jin-ping,WANG Guang-yuan.Random vibrationof structures[M].Beijing:Higher Education Press,1998.
[4]高振世,朱继澄.建筑结构抗震设计[M].北京:中国建筑工业出版社,1995.GAO Zhen-shi,ZHU Ji-cheng.Seismic design of tallbuilding[M].Beijing:China Architecture&BuildingPress,1995.
[5]N.C.尼格姆.随机振动概论[M].何成慧,等译.上海:上海交通大学出版社,1985.Nigrm N C.An introduction to random vibration[M].HE Cheng-hui,et al,translate.Shanghai:ShanghaiJiaotong University Press,1985.
[6]欧进萍,牛荻涛.地震地面运动随机过程模型的参数及其结构效应[J].哈尔滨建筑工程学院学报,1990,23(2):24 34.OU Jin-ping,NIU Di-tao.Parameters in the randomprocess model of earthquake ground motion and theireffects on the response of structures[J].Journal ofHarbin Architecture and Civil Engineering Institute,1990,23(2):24 34.
[7]李宏男.结构多维抗震理论设计方法[M].北京:科学出版社,1998.LI Hong-nan.The method of aseismic design for struc-tures to multi-dimensional seismic excitations[M].Beijing:Science Press,1998.
[8]欧进萍,牛荻涛,杜力修.设计用随机地震动模型及其参数的确定[J].地震工程与工程振动,1991,11(3):45 54.OU Jin-ping,NIU Di-tao,DU Li-xiu.Random earth-quake ground motion model and its parameter determi-nation used in aseismic design[J].Earthquake Engi-neering and Engineering Vibration,1991,11(3):4554.
[9]李芳.多维地震动作用下高层结构随机振动反应分析[D].长沙:中南大学土木建筑学院,2005.LI Fang.The analysis of random response of high-layerstructures to multiple seismic inputs[D].Changsha:School of Civil and Architectural Engineering,CentralSouth University,2005.
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