基于弹性基础梁理论的冻结壁和冻结管变形与受力分析

冻结段掘砌过程中，冻结管的变形受力位移取决于冻结壁的变形，而施工段附近，冻结壁的变形受力不符合通常按平面问题处理的厚壁筒理论要求。提出了分析施工段附近冻结壁的弹性基础梁力学模型，分析推导出基于弹性基础梁的冻结壁变形位移计算表达式，并通过实例计算与实测结果分析对比，较全面地考虑了冻结壁及中部未冻土的力学性质、冻结壁的几何尺寸、掘砌施工段高、无支承段高、泡沫塑料可缩层、混凝土井壁的支承作用等因素，较好地反映了施工段附近冻结壁的受力和变形情况，并把冻结壁变形和冻结管的弯曲联系起来，为研究冻结管的变形和破坏提出新的计算方法和途径。

Analysis on deformation and stress of freezed wall and freezing tube with elastic foundation beam theory

During an excavation and lining operation in a freezed section of a mine shaft sinking, a deformation stress and displacement of a freezing tube is based on a deformation of a freezed wall. But the deformation stress of the freezed wall near the construction section can not meet the requirement of the thick wall cylinder theory which is generally to express a plan issue. A mechanical model of an elastic foundation beam is proposed for an analysis of the freezed wall near the construction section. A formulation of the freezed wall deformation displacement is analyzed based on the elastic foundation beam. With the analysis comparison between the practice calculation and site measured results, the model has fully considered the mechanical properties of the freezed wall and unfreezed soil in the center, geometrical dimension of the freezed wall, section height of the lining construction, section height of non support, foam plastic yield layer, support function of the concrete shaft lining and other factors. The model can well reflect the stress and deformation of the freezed wall near the construction section and consider the connection link of the freezed wall deformation and freezing tube bending. The model provided a new calculation method and access for the research on the deformation and failure of the freezing tube.