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城市地下铁道和水工隧洞等工程都要求解决平行圆形隧道的应力分析问题,本文应用复变函数方法推导了在任意侧压力系数的弹性地层中,平行圆形隧道的应力分析解。先求得连续洞周边界应力条件下双圆形洞室的应力场和位移场;再利用衬砌和围岩界面位移协调方程,获得平行圆形隧道的地层压力和衬砌内力公式,并可考虑开挖面的三维效应和洞室自由位移等因素。根据结论公式,对隧道间距、地层性质、衬砌厚度等诸因素进行了讨论,得到了单因素的一般规律,在此基础上,提出了平行圆形隧道最小间距的近似方法,并在某工程中予以应用,得到了满意的结果。本应力分析方法在平行圆形隧道的设计和施工中供作参考。
Urban underground railways and hydraulic tunnels and other projects are required to solve the stress analysis problem of parallel circular tunnels. This paper applies the complex variable function method to derive the stress analysis solution of parallel circular tunnels in elastic strata with any side pressure coefficient. Firstly, the stress field and displacement field of the double-circular cavern under the condition of continuous boundary stress are obtained. Then, using the coordination equations of the interface displacement between the lining and the surrounding rock, the formulas for the formation pressure and the lining internal force of the parallel circular tunnel can be obtained. The three-dimensional effect of excavation and the free displacement of the cavern, etc. According to the conclusion formula, the factors such as the distance between tunnels, the nature of the formation, and the lining thickness were discussed. The general law of single factor was obtained. On this basis, an approximate method for the minimum spacing of parallel circular tunnels was proposed and used in a project. Applied to get satisfactory results. This stress analysis method is used as a reference in the design and construction of parallel circular tunnels.