为计算岩溶区桩基的极限承载力,提出一个符合工程实际情况的简化分析模型,充分考虑了桩与溶洞之间距离对桩基承载力的影响。基于极限分析上限法,提出了相应的假定破坏模式,并采用三角形刚性块体对破坏模式进行离散,计算得到外力功率和内能耗散率。以桩端极限承载力作为目标函数,将该问题转化为数学优化模型,并利用MATLAB对数学优化模型求解。将本文计算结果与有限元极限分析法所得结果进行对比,验证了本文方法的正确性。最后,分析了材料参数和几何参数对桩基极限承载力的影响,参数分析表明:随着桩与溶洞距离不断增大,溶洞对桩端承载力的影响越来越小,当桩与溶洞距离超过某一定值时,桩端极限承载力将不受溶洞的影响。
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