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寒区非圆形隧道冻胀力的解析解

李岩松 陈寿根

李岩松, 陈寿根. 寒区非圆形隧道冻胀力的解析解[J]. 力学学报, 2020, 52(1): 196-207. doi: 10.6052/0459-1879-19-226
引用本文: 李岩松, 陈寿根. 寒区非圆形隧道冻胀力的解析解[J]. 力学学报, 2020, 52(1): 196-207. doi: 10.6052/0459-1879-19-226
Li Yansong, Chen Shougen. ANALYTICAL SOLUTION OF FROST HEAVING FORCE IN NON-CIRCULAR COLD REGION TUNNELS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(1): 196-207. doi: 10.6052/0459-1879-19-226
Citation: Li Yansong, Chen Shougen. ANALYTICAL SOLUTION OF FROST HEAVING FORCE IN NON-CIRCULAR COLD REGION TUNNELS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(1): 196-207. doi: 10.6052/0459-1879-19-226

寒区非圆形隧道冻胀力的解析解

doi: 10.6052/0459-1879-19-226
基金项目: 1) 中央高校基本科研业务费专项资金项目(SWJTU11ZT33);教育部创新团队发展计划(IRT0955)
详细信息
    通讯作者:

    李岩松

  • 中图分类号: TU91

ANALYTICAL SOLUTION OF FROST HEAVING FORCE IN NON-CIRCULAR COLD REGION TUNNELS

  • 摘要: 利用复变函数相应理论引入一种求解考虑衬砌结构的季节性冻土地区非圆形隧道冻胀力和冻胀变形的方法. 方法克服了隧道断面形状为非圆形状并且同时考虑非圆形隧道支护、冻胀圈、未冻围岩时, 经典的复变函数理论不能直接应用求解非圆形隧道应力和位移的问题. 方法通过将经典复变函数理论与连续性条件结合, 导出了非圆形隧道衬砌-冻胀圈-未冻围岩系统在正交曲线坐标系$\zeta $平面内的解析式, 然后通过保角变换求得直角坐标系$Z$平面上考虑衬砌支护的寒区非圆形隧道冻胀力和冻胀变形. 将推导的解析式应用于鹧鸪山隧道洞口段研究中, 得到鹧鸪山隧道洞口段冻胀应力和冻胀位移解析解, 并将解析解与数值解进行对比,验证解析解的正确性. 由结果可知: 围岩冻胀力对衬砌影响明显, 在拱顶、拱脚、拱底处因冻胀造成的环向附加应力显著增大; 在拱脚及两侧拱肩处会受到较大的法向附加应力; 由于衬砌几何形状的原因, 造成了衬砌冻胀变形的不均匀, 进而造成冻胀力分布不均.应用复变函数理论将冻胀圈考虑为马蹄形、直墙拱形等非圆形状较以往将冻胀圈考虑为单一圆环的冻胀力研究更符合实际, 较以往研究更能反映实际工况. 研究结果为季节性冻土地区非圆形隧道冻胀力的弹塑性分析奠定了基础.

     

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  • 收稿日期:  2019-08-20
  • 刊出日期:  2020-02-10

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