尖点突变模型在平板荷载试验中应用及预测研究

根据静力荷载试验曲线的特点,定性地分析了利用尖点突变模型表达荷载-沉降曲线的可行性. 通过坐标变换导出平板荷载试验的荷载-沉降曲线方程在沉降量、施加荷载及承载力因子三维空间中的表达式. 根据土的破坏条件,确定出相应参数并建立其尖点突变模型. 利用该突变模型对已有的试验进行了预测,预测结果和试验结果吻合较好.

Study of application and prediction of cusp-catastrophe model in plane-plate loading test

Based on the property of loading-settlement curve obtained from static loading test, the feasibility of cusp-catastrophe theory applied to the simulation of the curve for plane-plate loading test is qualitatively analyzed through coordinate transformation, a curve equation of plane-plate loading test, which is illustrated in the space of axes settlement, load and factor of bearing capacity for soils is established. According to the failure condition defined by soil deformations, the parameters of model are determined and the model is built up. By analysis of test data, it is indicated that the studied model is feasible. The cusp-catastrophe model is applied to the prediction of the relationship between loading and settlement of several plane-plate loading testing experiments. Through comparison and verification, it is displayed that the predicted results by cusp-catastrophe model are in accordance with the test results to a high degree.