高层框架在随机水平荷载下的随机反应分析
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摘要
根据框架变形特点 ,采用连续化方法 ,将高层框架连续化为剪切型竖向悬臂梁 ;将随机水平荷载简化为与空间位置无关的时间参数t的平稳过程 ,通过结构振型分解法直接求得结构随机响应。并在已知水平荷载的均值、相关函数和互谱密度的情况下 ,推导了位移反应的均值、协方差函数及方差的计算公式 ,应用表明 :该公式计算简便 ,易于应用 ,是框架结构随机振动分析的一种有效方法
In this paper, employing the continuum calculation model, based on the deformation characteristics of frame, the highrise frames are simplified as a vertical shear cantilever beam. Lateral random loads is modeled as stationary process of time parameter t, having nothing to do with its space position. The structural random response is obtained by mode-decomposition method. Given the mean value,the correlation formulae of the mean value,the covariance function and the square deviation of displacement response are derived. The proposed approach is a simple but effective to random vibration analysis of frame structures.
In this paper, employing the continuum calculation model, based on the deformation characteristics of frame, the highrise frames are simplified as a vertical shear cantilever beam. Lateral random loads is modeled as stationary process of time parameter t, having nothing to do with its space position. The structural random response is obtained by mode-decomposition method. Given the mean value,the correlation formulae of the mean value,the covariance function and the square deviation of displacement response are derived. The proposed approach is a simple but effective to random vibration analysis of frame structures.
引文
[1]陆铁坚,余志武高层框架在基础随机位移下的随机振动反应分析[J]工程抗震,2003,(2):22-27LUTie jian,YUZhi wuResponseanalysisofrandomvibra tionofhighriseframesunderrandomgroundmotion[J]EarthquakeEngineering,2003,(2):22-27
[2]王光远建筑结构的振动[M]北京:科学出版社,1978.135-139WANGGuang yuanVibrationofbuildingstructures[M ].Beijing:SciencePress,1978.135-139
[3]欧进萍,王光远结构随机振动[M]北京:高等教育出版社,1998.200-213OUJin ping,WANGGuang yuanRandomvibrationofstruc tures[M]Beijing:HighEducationPress,1998.200-213
[4]张相庭高层建筑抗风抗震设计计算[M]上海:同济大学出版社,1997.87-97ZHANGXiang tingWindandearthquakeresistantdesignoftallbuiling[M]Shanghai:TongjiUniversityPress,1997.87-97
[5]戴 君随机参数结构在随机荷载激励下的动力响应分析[J]工程力学,2002,19(3):64-68DAIJunDynamicresponseofstructureswithrandomparam etersunderrandomloads[J]EngineeringMechanics,2002,19(3):64-68
[6]周广春,汪 跃空间相关地面运动下结构的随机反应分析[J]哈尔滨建筑工程学院学报,1994,27(6):55-59ZHOUGuang chun,WANGYueStochasticresponseanalysisofstructuresunderspace-interrelatedgroundmotionmodel[J]JournalofHa’erbinArchitechturalandCivilEngineeringInstitute,1994,27(6):55-59
[7]刘天云,刘光廷,薛 颖地震多点激励结构随机分析方法[J]世界地震工程,2001,17(4):88-92LIUTian yun,LIUGuang ting,XUEYingArandomanalyti calapproachforstructureswithrandommulti-pointearth quakeexciation[J]WorldEarthquakeEngineering,2001,17(4):88-92
[8]李宏男,王苏岩多维地震动作用下非对称结构扭转耦连随机反应分析[J]建筑结构学报,1992,13(6):12-19LIHong nan,WANGSu yanCoupledtorsionalrandomre sponseanalysisofunsymmetricalstructurestomulti-dimen sionalinputs[J]JournalofBuildingStructures,1992,13(6):12-19
[2]王光远建筑结构的振动[M]北京:科学出版社,1978.135-139WANGGuang yuanVibrationofbuildingstructures[M ].Beijing:SciencePress,1978.135-139
[3]欧进萍,王光远结构随机振动[M]北京:高等教育出版社,1998.200-213OUJin ping,WANGGuang yuanRandomvibrationofstruc tures[M]Beijing:HighEducationPress,1998.200-213
[4]张相庭高层建筑抗风抗震设计计算[M]上海:同济大学出版社,1997.87-97ZHANGXiang tingWindandearthquakeresistantdesignoftallbuiling[M]Shanghai:TongjiUniversityPress,1997.87-97
[5]戴 君随机参数结构在随机荷载激励下的动力响应分析[J]工程力学,2002,19(3):64-68DAIJunDynamicresponseofstructureswithrandomparam etersunderrandomloads[J]EngineeringMechanics,2002,19(3):64-68
[6]周广春,汪 跃空间相关地面运动下结构的随机反应分析[J]哈尔滨建筑工程学院学报,1994,27(6):55-59ZHOUGuang chun,WANGYueStochasticresponseanalysisofstructuresunderspace-interrelatedgroundmotionmodel[J]JournalofHa’erbinArchitechturalandCivilEngineeringInstitute,1994,27(6):55-59
[7]刘天云,刘光廷,薛 颖地震多点激励结构随机分析方法[J]世界地震工程,2001,17(4):88-92LIUTian yun,LIUGuang ting,XUEYingArandomanalyti calapproachforstructureswithrandommulti-pointearth quakeexciation[J]WorldEarthquakeEngineering,2001,17(4):88-92
[8]李宏男,王苏岩多维地震动作用下非对称结构扭转耦连随机反应分析[J]建筑结构学报,1992,13(6):12-19LIHong nan,WANGSu yanCoupledtorsionalrandomre sponseanalysisofunsymmetricalstructurestomulti-dimen sionalinputs[J]JournalofBuildingStructures,1992,13(6):12-19
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