地下衬砌的变几何应力分析

On stress analysis of geometrically altered undergound structures

根据地下衬砌边砌筑边受载的特点，针对空间轴对称的衬砌结构和荷载的情形，给出了变几何应力的解析解。文中讨论了采用Ｆｏｕｒｉｅｒ级数和Ｆｏｕｒｉｅｒ－Ｂｅｓｓｅｌ级数展开的方法求解在任意轴对称荷载作用下有限长空心圆柱问题的过程和步骤。最后，将地下衬砌的变几何与不变几何的应力分析结果作了比较。

In this paper, the stress distributions of geometrically altered underground lining are given for axisymmetric structures and loads, based on the characteristic of lining which are loaded when constructed. The processes of solving axisymmetric problems of finite hollow cylinders are discussed in detail by Fourier series and Fourier-Bessel series expansion method. Lastly, the stress analyses of geometrically altered and not altered underground structures are compared.