桥梁抗震分析中的激励输入模式研究
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摘要
本文研究桥梁抗震分析中激励的输入模式。针对加速度、位移两种输入模式的特点、实现方法以及适用性进行对比分析。分析结果表明,若积分方法和步长相同,在有限元分析模型中加速度输入模式较位移输入模式容易获得更好的精度;而在模态分析模型中则得到相反的结论。为减小误差,模态模型中位移输入模式的模态力宜由等效分布荷载形式计算。实测地震加速度时程需要修正才能得到一致化的位移时程,在总结各类时域修正方法的基础上,本文提出一种频率内校正方法。
Earthquake excitation input patterns are studied.The acceleration and displacement input patterns are compared in respect of their characteristics,implementation methods and applicabilities.The results show that,with the same integral method and time step length,the acceleration input pattern is superior to the displacement input pattern in the FE model while it is opposite in modal analysis.In order to reduce errors,it is advised that the modal force of the displacement input pattern should be calculated by the equivalent distributed load pattern in modal analysis.The measured earthquake acceleration history should be corrected to obtain the consistent displacement history.On the basis of several kinds of time domain correction methods,the frequency domain correction method is proposed.
Earthquake excitation input patterns are studied.The acceleration and displacement input patterns are compared in respect of their characteristics,implementation methods and applicabilities.The results show that,with the same integral method and time step length,the acceleration input pattern is superior to the displacement input pattern in the FE model while it is opposite in modal analysis.In order to reduce errors,it is advised that the modal force of the displacement input pattern should be calculated by the equivalent distributed load pattern in modal analysis.The measured earthquake acceleration history should be corrected to obtain the consistent displacement history.On the basis of several kinds of time domain correction methods,the frequency domain correction method is proposed.
引文
[1]Wilson E L.Three Dimensional Static and Dynamic Analy-sis of Structures:A Physical Approach with Emphasis onEarthquake Engineering[M].Berkley,California:Com-puters and Structures,Inc.,2002.
[2]Chopra A.Dynamics of Structures[M].New Jersey:Prentice-Hall,Inc.,1995.
[3]田玉基,杨庆山.地震地面运动作用下结构反应的分析模型[J].工程力学,2005,22(5):170-174.TIAN Yu-ji,YANG Qing-shan.Analysis Models andMethods for Structural Seismic Responses[J].Engineer-ing Mechanics,2005,22(5):170-174.
[4]Bathe K J.Finite Element Procedures in Engineering Anal-ysis[M].New Jersey:Prentice-Hall,Inc.,1982.
[5]Clough R,Penzien J.Dynamics of Structures,Second Edi-tion[M].McGraw-Hill,Inc.,1993.
[6]程纬,刘光栋,易伟建.大跨度桥梁直接考虑拟静力位移影响的随机地震反应分析[J].计算力学学报,2002,9(3):303-309.CHENG Wei,LIU Guang-dong,YI Wei-jian.On RandomSeismic Response Analysis of Long-span Bridge Consider-ing the Effect of Pseudo-static Displacement Directly[J].Chinese Journal of Computational Mechanics,2002,9(3):303-309.
[7]潘旦光,楼梦麟,范立础.多点输入下大跨度结构地震反应分析研究现状[J].同济大学学报,2001,29(3):1213-1219.PAN Dan-guang,LOU Meng-lin,FAN Li-chu.Status ofSeismic Response Analysis of Long-span Structures underMultiple Support Excitations[J].Journal of Tongji Uni-versity,2001,29(3):1213-1219.
[8]M.Converse,A.Gerald Brady.Basic Strong-Motion Accel-erogram Processing Software[R].Version 1.0,Open-FileReport 92-296A,United States Department of the InteriorGeological Survey,1992.
[9]张雷明,张昌金.多点激励作用下结构地震影响计算拟静力位移法讨论[J].工程抗震与加固改造,2005,27(4):24-26.ZHANG Lei-ming,ZHANG Chang-jin.Discussion on thePseudo-static Displacement Method for Seismic Analysis ofStructures under Multiple Excitations[J].Earthquake Re-sistant Engineering and Retrofitting,2005,27(4):24-26.
[10]Qingshan Y,Saiidi M S.Influence of Earthquake GroundMotion Incoherency on Multi-support Structures[J].Earthquake Engineering and Engineering Vibration,2002,1(2):167-180.
[11]黄海新,张哲,石磊,等.多点激励下自锚式斜拉-悬吊协作体系地震反应分析[J].地震工程与工程振动,2007,27(5):124-128.HUANG Hai-xin,ZHANG Zhe,SHI Lei,et al.SeismicResponse Analysis of Self-anchored Cable-stayed-suspen-sion Bridge Subjected to Multi-support Excitations[J].Journal of Earthquake Engineering and Engineering vibra-tion,2007,27(5):124-128.
[12]丁阳,林伟,李忠献.大跨度空间结构多维多点非平稳随机地震反应分析[J].工程力学,2007,24(3):97-103.DING Yang,LIN Wei,LI Zhong-xian.Non-stationaryRandom Seismic Analysis of Long-span Spatial Structuresunder Multi-supported and Multi-dimensional EarthquakeExcitations[J].Engineering Mechanics,2007,24(3):97-103.
[2]Chopra A.Dynamics of Structures[M].New Jersey:Prentice-Hall,Inc.,1995.
[3]田玉基,杨庆山.地震地面运动作用下结构反应的分析模型[J].工程力学,2005,22(5):170-174.TIAN Yu-ji,YANG Qing-shan.Analysis Models andMethods for Structural Seismic Responses[J].Engineer-ing Mechanics,2005,22(5):170-174.
[4]Bathe K J.Finite Element Procedures in Engineering Anal-ysis[M].New Jersey:Prentice-Hall,Inc.,1982.
[5]Clough R,Penzien J.Dynamics of Structures,Second Edi-tion[M].McGraw-Hill,Inc.,1993.
[6]程纬,刘光栋,易伟建.大跨度桥梁直接考虑拟静力位移影响的随机地震反应分析[J].计算力学学报,2002,9(3):303-309.CHENG Wei,LIU Guang-dong,YI Wei-jian.On RandomSeismic Response Analysis of Long-span Bridge Consider-ing the Effect of Pseudo-static Displacement Directly[J].Chinese Journal of Computational Mechanics,2002,9(3):303-309.
[7]潘旦光,楼梦麟,范立础.多点输入下大跨度结构地震反应分析研究现状[J].同济大学学报,2001,29(3):1213-1219.PAN Dan-guang,LOU Meng-lin,FAN Li-chu.Status ofSeismic Response Analysis of Long-span Structures underMultiple Support Excitations[J].Journal of Tongji Uni-versity,2001,29(3):1213-1219.
[8]M.Converse,A.Gerald Brady.Basic Strong-Motion Accel-erogram Processing Software[R].Version 1.0,Open-FileReport 92-296A,United States Department of the InteriorGeological Survey,1992.
[9]张雷明,张昌金.多点激励作用下结构地震影响计算拟静力位移法讨论[J].工程抗震与加固改造,2005,27(4):24-26.ZHANG Lei-ming,ZHANG Chang-jin.Discussion on thePseudo-static Displacement Method for Seismic Analysis ofStructures under Multiple Excitations[J].Earthquake Re-sistant Engineering and Retrofitting,2005,27(4):24-26.
[10]Qingshan Y,Saiidi M S.Influence of Earthquake GroundMotion Incoherency on Multi-support Structures[J].Earthquake Engineering and Engineering Vibration,2002,1(2):167-180.
[11]黄海新,张哲,石磊,等.多点激励下自锚式斜拉-悬吊协作体系地震反应分析[J].地震工程与工程振动,2007,27(5):124-128.HUANG Hai-xin,ZHANG Zhe,SHI Lei,et al.SeismicResponse Analysis of Self-anchored Cable-stayed-suspen-sion Bridge Subjected to Multi-support Excitations[J].Journal of Earthquake Engineering and Engineering vibra-tion,2007,27(5):124-128.
[12]丁阳,林伟,李忠献.大跨度空间结构多维多点非平稳随机地震反应分析[J].工程力学,2007,24(3):97-103.DING Yang,LIN Wei,LI Zhong-xian.Non-stationaryRandom Seismic Analysis of Long-span Spatial Structuresunder Multi-supported and Multi-dimensional EarthquakeExcitations[J].Engineering Mechanics,2007,24(3):97-103.
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