本文将贴壁式直墙环状衬砌视为由圆环壳、位于内侧及外侧的弹性地基圆筒壳三个子结构构成的组合结构。用复变函数方法,导出了在衬砌自重、竖向及水平围岩压力作用下,圆环壳的复变方程及其解。用柱壳理论,导出了弹性地基圆筒壳的基本方程及其解。然后,根据变形、内力协调,将它们组装成环状衬砌。文中导出了对这种衬砌进行工程计算所需要的全部公式,给出了数值例题,并初步讨论了衬砌几何参数变化对其受力性能的影响。

In this paper,the ring shell lining with annularly verticalwalls made contact with the surrounding rock is considered as a combinationstructure formed of ring shell,inner and outer annular barrels on elastic fo-undation.The complex equation and its solutions of ring shell under deadload of lining and vertical and horizontal surrounding rock pressures are de-rived by the method of complex function.The governing equation and itssolution of the barrels on elastic foundation are also derived by theory ofcylindrical shell.And then,the ring shell lining is assembled by the subst-ructures by means of compatibility conditions of internal forces and defor-mations between them.In the paper,all formulas for the practical computa-tion in engineering are derived,the numerical examples are given and theeffects of the parameters of the lining on the work behaviours of lining alsoare discussed preliminarily

国家自然科学基金，建设部城乡建设科学技术基金资助项目