反应加速度法人工边界宽度参数研究
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摘要
为确定合理人工边界宽度参数,现设定某地质条件下的城市轨道交通箱型地下结构,并选择2种结构埋深(分别为5m和25m),分Ⅱ、Ⅲ、Ⅳ3种场地类别,使用时间历程法和反应加速度法分别计算结构的内力和位移。结果表明:若以时间历程法为基准,反应加速度法本身存在方法误差,随着人工边界宽度的增加,误差值逐渐趋于稳定;若以反应加速度法模型取50倍框架宽度为基准,误差逐渐减小,表明反应加速度法存在合理人工边界宽度。
Response acceleration method has been gradually accepted and promoted across China in recent years.In order to determine its reasonable artificial boundary width parameters,one benchmark numerical example,such as the urban mass transit underground structure which was set at two burying depths(5mand 25m),was evaluated and the structural internal forces and displacement was calculated by using the time history method and response acceleration method,respectively.It was found that if the time history method was selected as a benchmark,the response acceleration method itself has methodic error.With the increase of width,the error tended to be stable.In addition,if the response acceleration method with 50 times width model was selected as a benchmark,errors were gradually reduced.It was shown that the response acceleration method had a reasonable artificial boundary width.
Response acceleration method has been gradually accepted and promoted across China in recent years.In order to determine its reasonable artificial boundary width parameters,one benchmark numerical example,such as the urban mass transit underground structure which was set at two burying depths(5mand 25m),was evaluated and the structural internal forces and displacement was calculated by using the time history method and response acceleration method,respectively.It was found that if the time history method was selected as a benchmark,the response acceleration method itself has methodic error.With the increase of width,the error tended to be stable.In addition,if the response acceleration method with 50 times width model was selected as a benchmark,errors were gradually reduced.It was shown that the response acceleration method had a reasonable artificial boundary width.
引文
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[3]DG/TJ08-2064-2009.地下铁道建筑结构抗震设计规范[S].上海:上海市建筑建材业市场管理总站,2009.DG/TJ08-2064-2009.Code for seismic design of subway structures[S].Shanghai:Shanghai station of the building materials industry market management,2009.(in Chinese)
[4]GB 50909-2014.城市轨道交通结构抗震设计规范[S].北京:中国计划出版社,2014.GB 50909-2014.Code for seismic design of urban rail transit structure[S].Beijing:China Planning Press,2014.(in Chinese)
[5]商金华,杨林德.软土场地地铁车站抗震计算的等代地震加速度法[J].华南地震,2010,30(1):6-15.SHANG Jinhua,YANG Linde.Equivalent static method of seismic calculation for subway station in soft site[J].South China Journal of Seismology,2010,30(1):6-15.(in Chinese)
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[7]刘晶波,王文晖,赵冬冬.地下结构横截面地震反应拟静力计算方法对比研究[J].工程力学,2013,30(1):105-111.LIU Jingbo,WANG Wenhui,ZHAO Dongdong.Comparison of the pseudo-static methods for seismic analysis of the underground structures[J].Engineering Mechanics,2013,30(1):105-111.(in Chinese)
[8]董正方,王君杰,袁玉卿.反应位移法和反应加速度法的程序实现[J].河南大学学报(自然科学版),2014,44(2):236-239.DONG Zhengfang,WANG Junjie,YUAN Yuqing.Program implementation for response displacement method and response acceleration method[J].Journal of Henan University(Natural Science),2014,44(2):236-239.(in Chinese)
[9]董正方,王君杰.反应加速度法中地震动参数的修正研究[J].现代隧道技术,2014,51(1):33-37.DONG Zhengfang,WANG Junjie.Research on ground motion parameter correction in the response acceleration method[J].Modern Tunnelling Technology,2014,51(1):33-37.(in Chinese)
[10]廖振鹏,刘晶波.离散网格中的弹性波动(Ⅰ)[J].地震工程与工程振动,1986,6(2):1-16.LIAO Zhenpeng,LIU Jingbo.Elastic wave motion in discrete grids(Ⅰ)[J].Earthquake Engineering and Engineering Vibration,1986,6(2):1-16.(in Chinese)
[2]片山幾夫,足立正信,嶋田穣,等.地下埋設構造物の実用的な準動的解析法「応答震度法」の提案[C]//土木学会.土木学会第40回年次学術講演会講演概要集第1部門.东京:土木学会,1985:1-9.
[3]DG/TJ08-2064-2009.地下铁道建筑结构抗震设计规范[S].上海:上海市建筑建材业市场管理总站,2009.DG/TJ08-2064-2009.Code for seismic design of subway structures[S].Shanghai:Shanghai station of the building materials industry market management,2009.(in Chinese)
[4]GB 50909-2014.城市轨道交通结构抗震设计规范[S].北京:中国计划出版社,2014.GB 50909-2014.Code for seismic design of urban rail transit structure[S].Beijing:China Planning Press,2014.(in Chinese)
[5]商金华,杨林德.软土场地地铁车站抗震计算的等代地震加速度法[J].华南地震,2010,30(1):6-15.SHANG Jinhua,YANG Linde.Equivalent static method of seismic calculation for subway station in soft site[J].South China Journal of Seismology,2010,30(1):6-15.(in Chinese)
[6]刘如山,胡少卿,石宏彬.地下结构抗震计算中拟静力法的地震荷载施加方法研究[J].岩土工程学报,2007,29(2):237-242.LIU Rushan,HU Shaoqing,SHI Hongbin.Study on seismicloading of pseuo-static approach used in the seismic design ofunderground structure[J].Chinese Journal of Geotechnical Engineering,2007,29(2):237-242.(in Chinese)
[7]刘晶波,王文晖,赵冬冬.地下结构横截面地震反应拟静力计算方法对比研究[J].工程力学,2013,30(1):105-111.LIU Jingbo,WANG Wenhui,ZHAO Dongdong.Comparison of the pseudo-static methods for seismic analysis of the underground structures[J].Engineering Mechanics,2013,30(1):105-111.(in Chinese)
[8]董正方,王君杰,袁玉卿.反应位移法和反应加速度法的程序实现[J].河南大学学报(自然科学版),2014,44(2):236-239.DONG Zhengfang,WANG Junjie,YUAN Yuqing.Program implementation for response displacement method and response acceleration method[J].Journal of Henan University(Natural Science),2014,44(2):236-239.(in Chinese)
[9]董正方,王君杰.反应加速度法中地震动参数的修正研究[J].现代隧道技术,2014,51(1):33-37.DONG Zhengfang,WANG Junjie.Research on ground motion parameter correction in the response acceleration method[J].Modern Tunnelling Technology,2014,51(1):33-37.(in Chinese)
[10]廖振鹏,刘晶波.离散网格中的弹性波动(Ⅰ)[J].地震工程与工程振动,1986,6(2):1-16.LIAO Zhenpeng,LIU Jingbo.Elastic wave motion in discrete grids(Ⅰ)[J].Earthquake Engineering and Engineering Vibration,1986,6(2):1-16.(in Chinese)