粘弹性基础上的长细梁大挠度模型及其应用
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摘要
针对软土-隧道体系这样复杂的三维结构,现阶段还没有已成形的模型可以应用,在理论分析上存在较大困难;而在整段已运营地铁隧道中进行大型现场试验,也并无先例可循,使得试验系统需要输入的很多数据不好估计范围。针对以上问题,建立了软土-隧道动力学模型,该模型采用了粘弹性基础上的大挠度长细梁,选取了与实测段一致的尺寸,考虑了不同的支座边界条件,用Mathematic编制程序,计算出模型的前十阶自振频率和前三阶振型,计算结果可用于与实测数据对比。
At the present stage,theoretical analysis on the soft soil-tunnel system which is complicated three-dimensional structure is provided with great limitations.The reason is that the mature model can't be used.Now we will develop the spot experiment in the operated subway tunnel,but a little date makes it difficult in estimation data range in experiment system.To solve the above problem,we create the soft soil-tunnel dynamic model,which is the model of slender beam and large deflection on the viscoelastic foundation.This model selects the same dimension as the spot experiment,takes into account the different boundary conditions,and completes the calculation of natural frequency and vibration mode using Mathematic.Its calculation results can be used to compare with the experiment data.
At the present stage,theoretical analysis on the soft soil-tunnel system which is complicated three-dimensional structure is provided with great limitations.The reason is that the mature model can't be used.Now we will develop the spot experiment in the operated subway tunnel,but a little date makes it difficult in estimation data range in experiment system.To solve the above problem,we create the soft soil-tunnel dynamic model,which is the model of slender beam and large deflection on the viscoelastic foundation.This model selects the same dimension as the spot experiment,takes into account the different boundary conditions,and completes the calculation of natural frequency and vibration mode using Mathematic.Its calculation results can be used to compare with the experiment data.
引文
[1] 小泉淳,村上博智,西野健三.ツ-ルドトネルの□方向特性のモデルィヒにっぃて[A].土木学会论文集[C],1988:79-88
[2] 余占奎,黄宏伟,徐凌,李文婷.软土盾构隧道纵向设计综述[J].地下空间与工程学报,2005,(2) :315-318
[3] 高松伸行等.二次覆工そゎぉツ-ルドトンネル□方向曲げ特性のモデル化たつぃて[A].土木学会论文集[C].1993:97-106
[4] 志波由纪夫,川岛一彦,大日方尚己,加纳尚史.ツ-ルドトネルの耐震解析たる□手方向覆工刚性の评价法[A].土木学会论文集[C].1988:319-327
[5] 志波由纪夫,川岛一彦,大日方尚己,加纳尚史.应答变位法たょるツ-ルドトンネルの地震时断面力の算定法[A].土木学会论文集[C].1989:385-394
[6] 朱合华,崔茂玉,杨金松.盾构法衬砌管片的设计模型与荷载分布的研究[J].岩土工程学报,2002,22(2) :190-194．
[7] 张庆贺,柏桐.上海软土隧道的设计与施工[J].世界隧道,1998,(2) :11-25
[8] 刘承斌,黄洪波,王柏生.TMD在桥梁振动控制上的应用研究及其理论分析[J].市政技术,2003,21(3) :137-140
[9] 娄平,曾庆元.移动荷载作用下连续粘弹性基础支撑无限长梁的有限元分析[J].交通运输工程学报,2003,23(2) :1-6
[10] E.L.Wilson,L.Farhoomand,K.J.Bathe.Nonlinear dynamic analysis of complex structures.International Journal of Earthquake Engineering and Structural Dynamics,1973,1:241-252
[11] 陈春霞,王祥,王勇.软土中已运营地铁隧道沉降原因综述[J].建筑技术开发,2009,36(10) :75-77
[12] 陈春霞,张燕.软土隧道纵向不均匀沉降的ANSYS弹性分析[J].振动与冲击,2006． 25增刊:1080-1082
[2] 余占奎,黄宏伟,徐凌,李文婷.软土盾构隧道纵向设计综述[J].地下空间与工程学报,2005,(2) :315-318
[3] 高松伸行等.二次覆工そゎぉツ-ルドトンネル□方向曲げ特性のモデル化たつぃて[A].土木学会论文集[C].1993:97-106
[4] 志波由纪夫,川岛一彦,大日方尚己,加纳尚史.ツ-ルドトネルの耐震解析たる□手方向覆工刚性の评价法[A].土木学会论文集[C].1988:319-327
[5] 志波由纪夫,川岛一彦,大日方尚己,加纳尚史.应答变位法たょるツ-ルドトンネルの地震时断面力の算定法[A].土木学会论文集[C].1989:385-394
[6] 朱合华,崔茂玉,杨金松.盾构法衬砌管片的设计模型与荷载分布的研究[J].岩土工程学报,2002,22(2) :190-194．
[7] 张庆贺,柏桐.上海软土隧道的设计与施工[J].世界隧道,1998,(2) :11-25
[8] 刘承斌,黄洪波,王柏生.TMD在桥梁振动控制上的应用研究及其理论分析[J].市政技术,2003,21(3) :137-140
[9] 娄平,曾庆元.移动荷载作用下连续粘弹性基础支撑无限长梁的有限元分析[J].交通运输工程学报,2003,23(2) :1-6
[10] E.L.Wilson,L.Farhoomand,K.J.Bathe.Nonlinear dynamic analysis of complex structures.International Journal of Earthquake Engineering and Structural Dynamics,1973,1:241-252
[11] 陈春霞,王祥,王勇.软土中已运营地铁隧道沉降原因综述[J].建筑技术开发,2009,36(10) :75-77
[12] 陈春霞,张燕.软土隧道纵向不均匀沉降的ANSYS弹性分析[J].振动与冲击,2006． 25增刊:1080-1082
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