将环梁和支护结构分别视为弹性圆环和弹性圆柱薄壳, 基于环梁和圆柱壳的变形协调, 得到了具有任意数目弹性环梁支撑圆形深基坑支护结构变形的解析解. 在验证解析解合理性 和可靠性的基础上, 针对某一实际圆形基坑工程, 比较了在刚性和弹性环梁支撑下支护结构变 形和内力的差异, 并分析了支护结构底部边界条件、环梁弹性模量、尺寸和数量以及位置等参 数对支护结构变形和内力分布的影响. 研究结果表明: 相对于刚性环梁支撑, 弹性环梁支撑处 内力变化较小, 环梁弹性模量和尺寸的改变只对基坑挖掘面以上支护结构变形和内力影响显 著, 而对挖掘面以下的支护结构变形和内力几乎没有影响. 该研究成果为圆形基坑支护结构设 计提供了理论依据和指导.

A ring beam and its retaining structure are regarded as an elastic ring and an elastic thin cylindrical shell, respectively. In this study, based on the deformation compatibilities between the ring beam and cylindrical shell, an analytical solution for the deformation of a retaining structure of a circular deep foundation pit with any number of elastic ring beam supports is obtained. Based on the verified rationality and reliability of the analytical solution, this study compares the differences in deformation and internal force distributions of the retaining structure of a practical circular deep foundation pit with rigid and elastic ring beams, respectively. In addition, influence of parameters including bottom boundary conditions of the retaining structure, elastic modulus, size, number, and position of the ring beams on the deformation and internal force distributions of the retaining structure are studied. Results show that, compared with the internal force changes to the retaining structure with a rigid ring beam, those to the retaining structure with an elastic ring beam are relatively small. In addition, changes to the elastic modulus and size of the ring beam are found to have a significant effect on the deformation and internal forces of the retaining structure above the excavation surface of the foundation pit. However, they have little influence on the deformation and internal forces of the retaining structure below the excavation surface. These results provide a theoretical basis and guidelines for the design of a retaining structure of a circular foundation pit.