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为探讨洞庭湖软土区桥梁工程常用高承台超长嵌岩灌注桩的屈曲稳定性,将其视为第二类稳定问题,引入新型无单元Galerkin数值分析法,考虑桩-土共同工作中的非变形协调与非线性等因素,给出了基于非线性弹性-理想塑性模型的桩土接触分析非线性迭代算法及基于弧长法的桩身屈曲分析无单元Galerkin法,并开发出相应的计算程序。最后,结合某大桥一试桩现场载荷试验结果进行了应用,对比分析表明:基于桩身屈曲分析无单元Galerkin法获得的桩顶荷载-沉降曲线与实测曲线吻合较好,桩身失稳临界荷载与实测极限荷载的相对误差为5.6%,远优于按第一类问题的线性与非线性增量屈曲分析结果(其相对误差分别达37.0%和15.4%)。
In order to investigate the buckling stability of over-stern-rock-socketed cast-in-situ bored pile commonly used in bridge engineering in Dongting Lake soft soil area, which is considered as the second type of stability problem, a new element-free Galerkin numerical method is introduced to consider the non- Deformation coordination and nonlinearity, the non-linear iterative method of pile-soil contact analysis based on nonlinear elastic-ideal plasticity model and the element-free Galerkin method of pile body buckling analysis based on arc length method are given. Corresponding calculation programs . Finally, the results of on-site load test of a test pile with a bridge are applied. The comparative analysis shows that the pile-top load-settlement curve obtained by element-free Galerkin method is in good agreement with the measured curve, The relative error to the measured ultimate load is 5.6%, which is much better than the linear and nonlinear incremental buckling analysis (the relative errors are 37.0% and 15.4% respectively) according to the first kind of problem.