深基坑支护桩弯曲分析的ODE求解法

从深基坑支护桩简化模型出发，建立弹性地基梁ＯＤＥ体系，综合运用ＯＤＥ变换技巧，将其控制方程、边界条件和连续条件化为标准区间上后，调用求解器直接求解．并对３ 种不同支撑情况的桩身挠度和弯矩作了分析比较．数值结论表明该方法简单明了且直接可靠，适用于岩土工程中线性或非线性ＯＤＥ体系问题的求解．

Application of ODE solver method to bending of the braced pile of deep pit excavation

Based on the simplified model of the braced pile of deep pit excavation, this paper sets up ODE systems for beams on elastic foundations. With the use of ODE conversion techniques , the governing equation, boundary condition and continuous conditions are transformed into standard form defined on unit intervals, and solutions are found directly by using the ODE solver col 90. Then comparisons are made on deflection of pile body and moment of bending of three different bracing conditions. Numerical examples show that the proposed method is simple reliability to use. The method can be applied to linear or nonlinear ODE problems in geotechnical engineering.