结构动力分析中多点激励问题的研究综述
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摘要
针对结构多点激励问题的研究现状,分别介绍了地震动时空变化性、多点激励分析基本方法、地震动记录校正以及多点激励对结构的影响。首先阐述了地震动时空变化性及主要表现形式,并提出了最不利行波概念;其次介绍了多点激励分析的基本方法,并指出了3种确定性方法的优缺点和适用性;然后论述了多点激励对地震动时程的基本要求:地震动加速度记录的校正问题;接着简要介绍了多点激励对结构的复杂影响,并指出这种影响取决于拟静力反应项和动反应项的相互关系。最后,对结构多点激励分析有关问题提出了展望和建议。
This paper gives a general review and summary on dynamic analyses of structures under multi-support excitation according to recent researches.Firstly,the spatial variations of ground motions and the effect of critical traveling waves are presented.Secondly,the review and the remark on methods used in analyses are given.Thirdly,the importance for correcting ground motion records is discussed.Then,the seismic response characteristics of the structures under the multi-support excitations are summarized.Finally,some advice is given in future investigation.
This paper gives a general review and summary on dynamic analyses of structures under multi-support excitation according to recent researches.Firstly,the spatial variations of ground motions and the effect of critical traveling waves are presented.Secondly,the review and the remark on methods used in analyses are given.Thirdly,the importance for correcting ground motion records is discussed.Then,the seismic response characteristics of the structures under the multi-support excitations are summarized.Finally,some advice is given in future investigation.
引文
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[2]Eurocode8:Structures in seismic regions design:Part2:Bridges(draft)[S].Brussels:European Comnittee for Standardization,1995.
[3]JTG/TB02-01-2008,公路桥梁抗震设计细则[S].北京:人民交通出版社,2008.
[4]Kiureghan.Response spectrum method for multi-support seismic excitations[J].Earthquake Eng and Struct Dyn,1992,21(8):713-740.
[5]冯启民,胡聿贤.空间相关地面运动的数学模型[J].地震工程与工程振动,1981,1(2):1-8.
[6]Farichandran R S,Vanmarcke E H.Stochastic variation of earthquake ground motion in space and time[J].Journal of Engineering Mechanics,1986,112(2):154-175.
[7]Loh C H,Yeh Y T.Spatial variation and stochastic modeling of seismic differential ground movement[J].Earthquake Eng and Struct Dyn,1988,16(5):583-596.
[8]Abrahamson N A,Schneider J F,Stepp J C.Empirical spatial coherence functions for application to soil-structure interaction analyses[J].Earth-quake Spectra,1991,7(1):1-27.
[9]Oliveira C S,Hao H,Penzien J.Ground motion modeling for multiple-input structural analysis[J].International Journal of Structural Safety,1991,10(3):79-93.
[10]Nakamura H.Depth-dependent spatial variation of ground motion based on seismic array records[C]//Proceedings of the11th World Conference on Earthquake Engineering.Mexico:[s.n.],1996.731
[11]屈铁军,王君杰,王前信.空间变化的地震动功率谱的实用模型[J].地震学报,1996,18(1):55-62.
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[14]丁海平,刘启方,金星,等.基岩地震动的一个相干函数模型——倾滑断层情形[J].地震工程与工程振动,2003,23(2):8-11.
[15]丁海平,刘启方,金星,等.基岩地震动的一个相干函数模型——走滑断层情形[J].地震学报,2004,26(1):62-67.
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[17]李小军,赵凤新,胡聿贤.空间相干地震动场模拟的研究[J].地震学报,1997,19(2):212-215.
[18]Zerva A,Zhang.Correlation patterns in characteristics of spatially variable seismic ground motions[J].Earthquake Engineering&Structural Dy-namics,1997,26(1):19-39.
[19]王君杰,陈虎.面向设计应用的地震动空间相干函数模型[J].地震工程与工程振动,2007,27(1):16-23.
[20]胡聿贤,孙平善.场地条件对震害和地震动的影响[J].地震工程与工程振动,1980,试刊(1):41-54.
[21]梁建文,严林隽,Lee V W.圆弧形沉积河谷场地在平面P波入射下的响应[J].岩土力学,2001,22(2):138-143.
[22]赵成刚,杜修力,李小军.用三维半解析边界元的子结构法分析凸起山包对地震波的散射[J].中国地震,1993,9(2):154-162.
[23]袁晓铭.圆弧状沉积盆地与软土单覆盖层出平面地表运动对比[J].地震工程与工程振动,2002,22(4):16-21.
[24]克拉夫R.彭津J(王光远,等译).结构动力学[M].北京:高等教育出版社,2006.
[25]胡聿贤.地震工程学[M].北京:地震出版社,2006.
[26]Leger P,Ide I M,Paultre P.Multiple support seismic analysis of large structures[J].Computers&Structures,1990,36(6):1153-1158.
[27]王田友,丁洁民,楼梦麟,等.地铁运行所致建筑物振动的传播规律的影响[J].土木工程学报.2009,42(5):33-39.
[28]杨庆山,刘文华,田玉基.国家体育场在多点激励作用下的地震反应分析[J].土木工程学报,2008,41(2):35-41.
[29]王有智,夏卫华.用大质量法计算东风EQ140汽车前面罩的强迫运动响应[J].力学与实践,1998,20(4):32-34.
[30]谢开仲,秦荣,林海瑛.大跨度CFST拱桥地震反应分析方法研究[J].武汉理工大学学报.2005,29(5):700-703.
[31]Wilson E L.Three dimensional static and dynamic analysis of structures:a physical approach with emphasis on earthquake engineering[M].Computers and Structures,Inc.,Berkley,California,2002.
[32]柳国环,李宏男,林海.结构地震响应计算模型的比较与分析[J].工程力学,2009,26(2):10-15.
[33]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(6):170-174.
[34]楼梦麟,李强.关于结构系统地震输入模式问题的讨论[J].世界地震工程,2008,24(2):21-25.
[35]秦权,孙晓燕,贺瑞,等.苏通桥对非一致地震地面运动的反应和人工波质量的讨论[J].工程力学,2006,23(9):71-85.
[36]林家浩.随机振动的虚拟激励法[M].北京:科学出版社,2004.
[37]Yamamura N,Tanaka H.Response analysis of flexible MDF systems for multiple-support seismic excitations[J].Earthquake Eng and Struct Dyn,1990,19(3):345-357.
[38]Berrah M,Kausel E.Response spectrum analysis of structures subjected to spatially varying motions[J].Earthquake Eng and Struct Dyn,1992,21(6):461-470.
[39]Heredia Zavoni E,Vanmarcke E H.Seismic random vibration analysis of multi-support Structural systems[J].ASCE,J of Eng Mech,1994,120(5):1107-1128.
[40]Kiureghian A D,Neuenhofe A.Adiscussion on seismic random vibration analysis of multi-support structural systems[J].ASCE,J of Eng Mech,1995,121(9):1037-1061.
[41]刘洪兵朱晞.多支承激励地震响应分析的简化反应谱法[J].中国公路学报.2002,15(1):34-37.
[42]王国权,周锡元.921台湾集集地震近断层强震记录的基线校正[J].地震地质,2004,26(1):1-14.
[43]叶继红,孙建梅.多点激励反应谱法的理论研究[J].应用力学学报.2007,24(1):47-52.
[44]李忠献,史志利.行波激励下大跨度连续刚构桥的地震反应分析[J].地震工程与工程振动.2003,23(2):68-76.
[45]张亚辉,李丽媛,陈艳,等.大跨度结构地震行波效应研究[J].大连理工大学学报,2005,45(4):480-486.
[46]李忠献,岳福青,周莉,等.考虑地震动空间效应的城市高架桥梁地震碰撞反应分析[J].天津大学学报,2006,39(8):938-943.
[47]王明哗,叶爱君,胡世德.行波激励下多跨连续梁桥地震反应分析[J].结构工程师,2007,23(4):49-54.
[48]李忠献,林伟,丁阳等.行波效应对大跨度空间网格结构地震响应的影响[J].天津大学学报.2007,40(1):1-8.
[2]Eurocode8:Structures in seismic regions design:Part2:Bridges(draft)[S].Brussels:European Comnittee for Standardization,1995.
[3]JTG/TB02-01-2008,公路桥梁抗震设计细则[S].北京:人民交通出版社,2008.
[4]Kiureghan.Response spectrum method for multi-support seismic excitations[J].Earthquake Eng and Struct Dyn,1992,21(8):713-740.
[5]冯启民,胡聿贤.空间相关地面运动的数学模型[J].地震工程与工程振动,1981,1(2):1-8.
[6]Farichandran R S,Vanmarcke E H.Stochastic variation of earthquake ground motion in space and time[J].Journal of Engineering Mechanics,1986,112(2):154-175.
[7]Loh C H,Yeh Y T.Spatial variation and stochastic modeling of seismic differential ground movement[J].Earthquake Eng and Struct Dyn,1988,16(5):583-596.
[8]Abrahamson N A,Schneider J F,Stepp J C.Empirical spatial coherence functions for application to soil-structure interaction analyses[J].Earth-quake Spectra,1991,7(1):1-27.
[9]Oliveira C S,Hao H,Penzien J.Ground motion modeling for multiple-input structural analysis[J].International Journal of Structural Safety,1991,10(3):79-93.
[10]Nakamura H.Depth-dependent spatial variation of ground motion based on seismic array records[C]//Proceedings of the11th World Conference on Earthquake Engineering.Mexico:[s.n.],1996.731
[11]屈铁军,王君杰,王前信.空间变化的地震动功率谱的实用模型[J].地震学报,1996,18(1):55-62.
[12]Loh C H,Lin S G.Directionality and simulation in spatial variation of seismic waves[J].ASCE,Eng Struct,1990,(12):132-143.
[13]Somerville P G,Mclaren J P,Sen MK,et a1.The influence of site condition on the spatial incoherence of ground motions[J].Structural Safety,1991,10(1):1-14.
[14]丁海平,刘启方,金星,等.基岩地震动的一个相干函数模型——倾滑断层情形[J].地震工程与工程振动,2003,23(2):8-11.
[15]丁海平,刘启方,金星,等.基岩地震动的一个相干函数模型——走滑断层情形[J].地震学报,2004,26(1):62-67.
[16]金星,廖振鹏.地震动随机场的物理模拟[J].地震工程与工程振动,1994,14(3):11-19.
[17]李小军,赵凤新,胡聿贤.空间相干地震动场模拟的研究[J].地震学报,1997,19(2):212-215.
[18]Zerva A,Zhang.Correlation patterns in characteristics of spatially variable seismic ground motions[J].Earthquake Engineering&Structural Dy-namics,1997,26(1):19-39.
[19]王君杰,陈虎.面向设计应用的地震动空间相干函数模型[J].地震工程与工程振动,2007,27(1):16-23.
[20]胡聿贤,孙平善.场地条件对震害和地震动的影响[J].地震工程与工程振动,1980,试刊(1):41-54.
[21]梁建文,严林隽,Lee V W.圆弧形沉积河谷场地在平面P波入射下的响应[J].岩土力学,2001,22(2):138-143.
[22]赵成刚,杜修力,李小军.用三维半解析边界元的子结构法分析凸起山包对地震波的散射[J].中国地震,1993,9(2):154-162.
[23]袁晓铭.圆弧状沉积盆地与软土单覆盖层出平面地表运动对比[J].地震工程与工程振动,2002,22(4):16-21.
[24]克拉夫R.彭津J(王光远,等译).结构动力学[M].北京:高等教育出版社,2006.
[25]胡聿贤.地震工程学[M].北京:地震出版社,2006.
[26]Leger P,Ide I M,Paultre P.Multiple support seismic analysis of large structures[J].Computers&Structures,1990,36(6):1153-1158.
[27]王田友,丁洁民,楼梦麟,等.地铁运行所致建筑物振动的传播规律的影响[J].土木工程学报.2009,42(5):33-39.
[28]杨庆山,刘文华,田玉基.国家体育场在多点激励作用下的地震反应分析[J].土木工程学报,2008,41(2):35-41.
[29]王有智,夏卫华.用大质量法计算东风EQ140汽车前面罩的强迫运动响应[J].力学与实践,1998,20(4):32-34.
[30]谢开仲,秦荣,林海瑛.大跨度CFST拱桥地震反应分析方法研究[J].武汉理工大学学报.2005,29(5):700-703.
[31]Wilson E L.Three dimensional static and dynamic analysis of structures:a physical approach with emphasis on earthquake engineering[M].Computers and Structures,Inc.,Berkley,California,2002.
[32]柳国环,李宏男,林海.结构地震响应计算模型的比较与分析[J].工程力学,2009,26(2):10-15.
[33]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(6):170-174.
[34]楼梦麟,李强.关于结构系统地震输入模式问题的讨论[J].世界地震工程,2008,24(2):21-25.
[35]秦权,孙晓燕,贺瑞,等.苏通桥对非一致地震地面运动的反应和人工波质量的讨论[J].工程力学,2006,23(9):71-85.
[36]林家浩.随机振动的虚拟激励法[M].北京:科学出版社,2004.
[37]Yamamura N,Tanaka H.Response analysis of flexible MDF systems for multiple-support seismic excitations[J].Earthquake Eng and Struct Dyn,1990,19(3):345-357.
[38]Berrah M,Kausel E.Response spectrum analysis of structures subjected to spatially varying motions[J].Earthquake Eng and Struct Dyn,1992,21(6):461-470.
[39]Heredia Zavoni E,Vanmarcke E H.Seismic random vibration analysis of multi-support Structural systems[J].ASCE,J of Eng Mech,1994,120(5):1107-1128.
[40]Kiureghian A D,Neuenhofe A.Adiscussion on seismic random vibration analysis of multi-support structural systems[J].ASCE,J of Eng Mech,1995,121(9):1037-1061.
[41]刘洪兵朱晞.多支承激励地震响应分析的简化反应谱法[J].中国公路学报.2002,15(1):34-37.
[42]王国权,周锡元.921台湾集集地震近断层强震记录的基线校正[J].地震地质,2004,26(1):1-14.
[43]叶继红,孙建梅.多点激励反应谱法的理论研究[J].应用力学学报.2007,24(1):47-52.
[44]李忠献,史志利.行波激励下大跨度连续刚构桥的地震反应分析[J].地震工程与工程振动.2003,23(2):68-76.
[45]张亚辉,李丽媛,陈艳,等.大跨度结构地震行波效应研究[J].大连理工大学学报,2005,45(4):480-486.
[46]李忠献,岳福青,周莉,等.考虑地震动空间效应的城市高架桥梁地震碰撞反应分析[J].天津大学学报,2006,39(8):938-943.
[47]王明哗,叶爱君,胡世德.行波激励下多跨连续梁桥地震反应分析[J].结构工程师,2007,23(4):49-54.
[48]李忠献,林伟,丁阳等.行波效应对大跨度空间网格结构地震响应的影响[J].天津大学学报.2007,40(1):1-8.
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