| 基于泛函突变理论的隧道支护力上限模型 |
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| 引用本文： | 唐承铁. 基于泛函突变理论的隧道支护力上限模型[J]. 吉首大学学报(自然科学版), 2016, 37(6): 45-49. DOI: 10.3969/j.cnki.jdxb.2016.06.010 |
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| 作者姓名： | 唐承铁 |
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| 作者单位： | （湖南省娄衡高速公路建设开发有限公司，湖南 衡阳 421000） |
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| 摘 要： | 隧道拱顶的变形过程可视为一个能量积累的过程，当总势能达到一个临界值时则会发生突变失稳.根据泛函突变理论和上限分析理论，建立了非线性破坏准则下深埋地下隧道拱顶的破坏模型，并考虑顶部水流的作用.利用边界条件和几何条件推导出塌落体的分离曲线表达式，进而得到硐室顶部支护力表达式.运用此方法计算“娄衡高速”笋安山隧道2个断面的支护力，并与实际监控量测结果进行对比来证明该方法的可行性.
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| 关 键 词： | 泛函突变理论 极限分析理论 深埋隧道 非线性破坏准则 支护力 |
Upper Bound Solutions of Supporting Pressure of Deep Tunnels Based on Functional Catastrophe Theory |
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| TANG Chengtie. Upper Bound Solutions of Supporting Pressure of Deep Tunnels Based on Functional Catastrophe Theory[J]. Journal of Jishou University(Natural Science Edition), 2016, 37(6): 45-49. DOI: 10.3969/j.cnki.jdxb.2016.06.010 |
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| Authors: | TANG Chengtie |
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| Affiliation: | （LOU-HENG Highway Construction and Development Co.Ltd of Hunan Province，Hengyang 421000,Hunan China） |
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| Abstract: | The deformation of tunnel roof could be regarded as a process of energy accumulation，and tunnel roof will collapse suddenly when the total potential reach the critical value.According to functional catastrophe theory and upper bound theorem，a reliable failure pattern based on Hoek-Brown failure criterion was established，and the effect of river was considered.By using the boundary conditions and geometric conditions，the functions of detaching curve and the supporting pressure were derived.At last，the supporting pressures of two different sections of Sunanshan tunnel in Louheng highway were calculated in this method，respectively，and the results were compared with the monitoring data，which shows the validity of this way. |
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| Keywords: | functional catastrophe theory limit analysis theory deep tunnel nonlinear failure criterion supporting force |
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