基于尖点突变理论的端承桩竖向承载力分析

国内外关于单桩竖向极限承载力的确定方法很多，但至今还未找到较为完善、科学和经济的方法求解桩的极限承载力的方法，因此尝试将尖点突变理论引入单桩竖向极限承载力的计算中，并与静载荷试验和抛物线法相结合，推导出端承桩单桩竖向极限承载力的计算公式。实例验证表明，当桩的位移值较小时，计算值接近实测值；当桩的位移值较大时，计算值与实测值偏离较大。结论可运用于实践。

Analysis on vertical bearing capacity of end-bearing pile foundation based on the catastrophe theory

There are a number of solutions to vertical ultimate bearing capacity of single pile, but so far a feasible and economical method of determining the vertical ultimate bearing capacity of single pile has not been presented. So based on the cusp catastrophe theory, the calculating formula of the vertical ultimate bearing capacity of single pile is deduced in this paper by means of static loading test and parabola method. A case history proved that the calculation results are in accordance with the measured results well when the value of the deformation of piles is small, while when the value of that is big, the calculation results will deviate from the measured results. The inference in this paper can apply to practice.