基于尖点突变理论的基桩极限承载力判定及预测

Determining and forecasting ultimate bearing capacity of pile based on cusp catastrophe theory

将尖点突变理论应用于基桩极限承载力判定及预测中,建立了基桩极限承载力判定及预测的尖点突变模型,提出了根据尖点突变理论进行基桩极限承载力判定及预测的4类判定方法,对判定方法的2种适用情况进行了分析.将4类判定方法与文献中的判定方法进行了比较.结果表明,判定思路Ⅳ可用于工况1情况下极限承载力的进一步判定.经静载荷试验数据验证,对基桩刺入破坏、屈曲破坏的极限承载力判定及预测,建立的尖点突变模型均有较好的适用性,可由判定思路Ⅱ在工况2的情况下,进行基桩极限承载力的预测估计.

A cusp catastrophe model was established for determining and forecasting ultimate beating capacity of pile based on cusp catastrophe theory. Four determination methods were brought forward and compared with the previous methods. Two application conditions of the model were analyzed. Results show that method Ⅳ can be used in further determination of ultimate beating capacity of pile under condition 1. Through validating the data of static load test, it is found out that the cusp catastrophe model is applicable in determining ultimate bearing capacity against punching failure and buckling failure. Method Ⅱ can be used in forecasting ultimate beating capacity of pile under condition 2.