成层Gibson地基中单桩沉降的非线性分析

针对成层Gibson地基模型，研究了轴向荷载作用下单桩的非线性沉降响应。利用最小势能原理求得桩土体系的控制方程，获得了土体位移的解析解及桩身沉降的差分方程式。将土体看作线弹性理想塑性材料，分析了土体的非线性对桩身位移的影响，提出了考虑非线性的单桩沉降响应计算方法，利用Maple编制了相应的分析程序。通过算例研究了土性参数及桩长径比对端承单桩沉降的影响。将研究结果应用于桩基静载荷试验成果的分析，结果表明，两者吻合较好，证明了该方法的合理性。

Nonlinear analysis of settlement of axially loaded single pile in Gibson soil

Based on principle of minimum potential energy,the government equations of single pile’s load-settlement response are established.The solution of the pile-soil system obtained by using analytical form for soils displacement and difference scheme for pile.The effect of soil’s nonlinearity on settlement response is considered by assuming that soil is linearly elastic-perfectly plastic.And the corresponding computer method is proposed.Then a program is developed based on Maple software.According to the numerical examples,the influences of soil parameters and slenderness ratio of pile on the settlement response are studied.The proposed method is used to analyze a full-scale static loading test pile;and the predictions are in reasonable agreement with the measurements.