基于分形理论的双洞隧道洞口段拱顶抗震反应特征分析
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摘要
以双洞隧道洞口段拱顶抗减震试验数据资料为例,从分形维数的角度出发去分析双洞洞口段隧道拱顶抗震反应的特征。研究表明:隧道拱顶抗震反应确实存在着分形现象,分形维数的大小可以表征双洞洞口段隧道拱顶地震反应曲线的均匀程度,分维数越大,减震效果越不好;设减震层对结构的动力响应有一定的减震效果;在设置减震层后的隧道拱顶仍可以通过计算分形维数大小达到监测的目的。
Based on the test data of anti-seismic response of vault in the double holes tunnel entrance,the anti-seismic response characteristics of vault are explored from the perspective of fractal dimension.The results show that: the anti-seismic response of vault in the double holes tunnel entrance does exist fractal phenomenon;the dimension can reflect the uniformity of vault curve of seismic response,and the greater dimension,the more uniform of vault curve is.That is,the anti-seismic effect is not good.The structure of vault in the double holes tunnel entrance has a certain anti-seismic effect on the dynamic response under anti-seismic layers.The vault of the tunnel can still achieve the purpose of monitoring through calculating the size of the fractal dimension after setting up anti-seismic layers.
Based on the test data of anti-seismic response of vault in the double holes tunnel entrance,the anti-seismic response characteristics of vault are explored from the perspective of fractal dimension.The results show that: the anti-seismic response of vault in the double holes tunnel entrance does exist fractal phenomenon;the dimension can reflect the uniformity of vault curve of seismic response,and the greater dimension,the more uniform of vault curve is.That is,the anti-seismic effect is not good.The structure of vault in the double holes tunnel entrance has a certain anti-seismic effect on the dynamic response under anti-seismic layers.The vault of the tunnel can still achieve the purpose of monitoring through calculating the size of the fractal dimension after setting up anti-seismic layers.
引文
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[4]季倩倩.地铁车站结构振动台模型试验研究[D].上海:同济大学,2002.Ji Qianqian.Shaking Table Model Test on the Metro Station Struc-tures[D].Shanghai:Tongji University,2002.
[5]杨德林,杨超,季倩倩,等.地铁车站振动台试验与地震响应的计算方法[J].同济大学学报,2003,32(10):1135-1140.Yang Delin,Yang Chao,Ji Qianqian,et al.Calculation method ofshaking table test on the metro station and anti-seismic response[J].Journal of Tongji University,2003,32(10):1135-1140.
[6]Mandelbrot B B.How long is the coast of Britain?Statistical self-similarity and fractional dimension[J].Science,1967,156:36-638.
[7]汪富泉,李后强.分形几何与动力系统[M].哈尔滨:黑龙江教育出版社,1993.Wang Fuquan,Li Houqiang.Fractal Geometry and Dynamical Sys-tems[M].Harbin:Heilongjiang Education Publishing House,1993.
[8]Richardson L F.The problem of continuity:an appendix of statis-tics of deadly quarrels[J].General Systems Yearbook,1961,6:139-187.
[9]周恒松.雅沪高速公路隧道抗减震模型试验[D].成都:西南交通大学,2008.Zhou Hensong.Ya-Hu Expressway Tunnel Anti-seismic Model Test[D].Chengdu:Southwest Jiaotong University,2008.
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