土体冻胀与地基梁相互作用的叠加法研究

根据随机介质的思想，土体冻胀引起的地表隆起近似为正态分布。以上海体育场穿越工程为研究背景，由叠加法基本原理，得出多管冻结冻胀叠加法表达式。将非均布的冻胀荷载简化成多段均布荷载，编制matlab程序求解冻土地基上的弹性地基梁方程，得到冻胀与地基梁（结构）相互作用的位移及接触压力，并用实测数据进行了验证。最后对冻胀与基础梁相互作用的影响因素进行计算分析，得出相互作用的冻胀量随地基梁刚度与外荷载增加而减小、随地基弹性接触系数与自由冻胀量增加而增加。

Research on superposition method of interaction between soil frost heave and beams on foundation

Based on the ideal of stochastic medium, the ground ridging induced by frost heave submits to normal distribution. Regarding on research background of the crossing engineering in Shanghai stadium, the express of frost heave for multi-freeze pipes is derived by the basic principle of superposition method. Simplifying the non-uniform distribution load as multi-stepped uniform distribution load, displacements and force of interaction between frost heave and beams on foundation are acquired by solving the equation of beams on elastic foundation on freezing soil with the program of MATLAB. Moreover, it is verified by survey. Finally, the conclusion that the frost heave decreases with the increase of the rigidity of beams on foundation and external load, and increases with the increase of the factor of elastic drag and free frost heave, is drawn by analyzing the influential factors of interaction between frost heave and beams on foundation.