结构地震响应分析的波动方法
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摘要
在结构中构造被研究块体,针对其质心建立动力平衡方程;由考虑弯剪变形的杆端力与杆端位移之间关系式推导出段间内力计算公式;在时间域上交替运用动力平衡方程和段间内力计算公式进行递推计算,给出高耸结构、三维框架结构地震响应分析的波动方法。对于高耸结构,考虑了被研究块体质心与空间离散结点之间的偏心问题,给出了修正的动力学方程。利用框架结构地震响应分析的波动方法研究了短跨结构的行波效应问题。结果表明:采用传统方法计算给出的电视塔地震响应结果会偏小。考虑行波效应时,二维和三维框架结构柱子的剪力和梁端弯矩存在显著增大现象。
The investigated lumps are formed in the structures and then the dynamic equilibrium equations of the investigated lumps are established about their centroids.The calculating formulae of the median axial force,shear force and bending moment of the element have been derived.The wave propagation methods,used to analyze the earthquake responses of high-rise structures and three-dimensional frame structures respectively,are then implemented by using these dynamic equilibrium equations and the calculating formulae of interior forces on the median cross-section recursively in a time domain.The eccentricities between the discrete nodes and the corresponding centroids of the investigated lump are considered and then the corrected dynamic equation is presented for high-rise structures based on the multi-degree-of-freedom model.The wave passage effects have been studied using the wave propagation method for earthquake response analyses of frame structures.Numerical results show that the computational results given by the conventional method may be smaller than their actual earthquake response for the high-rise structures.The seismic wave passage effects can cause the column shear forces and beam-end bending moments to increase remarkably.
The investigated lumps are formed in the structures and then the dynamic equilibrium equations of the investigated lumps are established about their centroids.The calculating formulae of the median axial force,shear force and bending moment of the element have been derived.The wave propagation methods,used to analyze the earthquake responses of high-rise structures and three-dimensional frame structures respectively,are then implemented by using these dynamic equilibrium equations and the calculating formulae of interior forces on the median cross-section recursively in a time domain.The eccentricities between the discrete nodes and the corresponding centroids of the investigated lump are considered and then the corrected dynamic equation is presented for high-rise structures based on the multi-degree-of-freedom model.The wave passage effects have been studied using the wave propagation method for earthquake response analyses of frame structures.Numerical results show that the computational results given by the conventional method may be smaller than their actual earthquake response for the high-rise structures.The seismic wave passage effects can cause the column shear forces and beam-end bending moments to increase remarkably.
引文
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[13]林家浩,张亚辉,赵岩.大跨度结构抗震分析方法及近期进展[J].力学进展,2001,31(3):350―359.Lin Jiahao,Zhang Yahui,Zhao Yan.Seismic analysismethods of long-span structures and recent advances[J].Advances in Mechanics,2001,31(3):350―359.(inChinese)
[14]Soyluk K.Comparison of random vibration methods formulti-support seismic excitation analysis of long-spanbridges[J].Engineering Structures,2004,26(11):1573―1583.
[15]楼梦麟,兰岚,黄明开.多点地震激励对大跨度结构抗震设计的影响[J].世界地震工程,2010,26(1):1―6.Lou Menglin,Lan Lan,Huang Mingkai.The effect ofmultiple-support seismic excitation on seismic design oflong-span structures[J].World Earthquake Engineering,2010,26(1):1―6.(in Chinese)
[16]Rambabu K V,Allam M M.Response of an open-planeframe to multiple support horizontal seismic excitationswith soil-structure interaction[J].Journal of Sound and Vibration,2007,299(1/2):388―396.
[17]Allam M M.Multiple support excitations of open-planeframes by a filtered white noise and soil-structureinteraction[J].Journal of Sound and Vibration,2010,329:4212―4226.
[2]Safak E.New approach to analyzing soil-buildingsystems[J].Soil Dynamics and Earthquake Engineering,1998,17:509―517.
[3]Trifunac M D,Ivanovic S S,Todorovska M I.Wavepropagation in a seven-story reinforced concrete building,part III:Damage detection via changes in wavenumbers[J].Soil Dynamics and Earthquake Engineering,2003,23(1):65―75.
[4]Oyunchimeg M,Kawakami H.A new method forpropagation analysis of earthquake waves in damagedbuildings:Evolutionary Normalized Input-OutputMinimization(NIOM)[J].Journal of Asian Architectureand Build Engineering,2003,2(1):9―16.
[5]Gicev V,Trifunac M D.Energy and power of nonlinearwaves in a seven-story reinforced concrete building[J].Journal of Earthquake Technology,2007,44(1):305―323.
[6]Todorovska M I,Trifunac M D.Earthquake damagedetection in the Imperial County Services Building III:Analysis of wave travel times via impulse responsefunctions[J].Soil Dynamics and Earthquake Engineering,2008,28:387―404.
[7]Zhang R R,Snieder R,Gargaba L,Seibi A.Modeling ofseismic wave motion in high-rise buildings[J].Probabilistic Engineering Mechanics,2011,26:520―527.
[8]李东升,贾辉,李宏男,任亮,王国新.论高耸结构地震动响应的时延性[J].建筑结构,2010,40(增刊2):119―123.Li Dongsheng,Jia Hui,Li Hongnan,Ren Liang,WangGuoxin.Disscussion on the time delay of earthquakeexcitation in high-rise building[J].Building Structure,2010,40(S2):119―123.(in Chinese)
[9]鲁斯C T F著.结构力学的有限元法[M].吴德心译.北京:人民交通出版社,1991:308.Ross C T F.Finite element methods in structuralmechanics[M].Translated by Wu Dexin.Beijing:ChinaCommunications Press,1991:308.(in Chinese)
[10]Kolsky H.Stress wave in solids[M].Oxford:ClarendousPress,1953:72.
[11]Wu J R,Li Q S.Finite element model updating for ahigh-rise structure based on ambient vibrationmeasurements[J].Engineering Structures,2004,26:979―990.
[12]Chopra A K.Dynamics of structures:Theory andapplications to earthquake engineering[M].2nd ed.Beijing:Tsinghua University Press,2004:384―389.
[13]林家浩,张亚辉,赵岩.大跨度结构抗震分析方法及近期进展[J].力学进展,2001,31(3):350―359.Lin Jiahao,Zhang Yahui,Zhao Yan.Seismic analysismethods of long-span structures and recent advances[J].Advances in Mechanics,2001,31(3):350―359.(inChinese)
[14]Soyluk K.Comparison of random vibration methods formulti-support seismic excitation analysis of long-spanbridges[J].Engineering Structures,2004,26(11):1573―1583.
[15]楼梦麟,兰岚,黄明开.多点地震激励对大跨度结构抗震设计的影响[J].世界地震工程,2010,26(1):1―6.Lou Menglin,Lan Lan,Huang Mingkai.The effect ofmultiple-support seismic excitation on seismic design oflong-span structures[J].World Earthquake Engineering,2010,26(1):1―6.(in Chinese)
[16]Rambabu K V,Allam M M.Response of an open-planeframe to multiple support horizontal seismic excitationswith soil-structure interaction[J].Journal of Sound and Vibration,2007,299(1/2):388―396.
[17]Allam M M.Multiple support excitations of open-planeframes by a filtered white noise and soil-structureinteraction[J].Journal of Sound and Vibration,2010,329:4212―4226.
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