基于Mindlin位移解考虑桩径影响的桩基沉降计算

Settlement calculation of pile foundations based on Mindlin's displacement formula considering influence of pile diameters

为弥补桩基沉降计算的Mindlin-Geddes法忽略桩径影响的不足,基于Mindlin位移解,按照Geddes应力解的假设,推导了在考虑桩径的影响下竖向承载桩基础沉降计算的解析表达式.将圆周分为若干等分,实现了解析表达式的数值积分解,可适用于等直径单桩、扩底桩和大桩距、布桩不规则或桩长不一样的群桩基础沉降的求解.算例结果表明,该方法对实际工程问题的计算精度是可靠的.

In order to overcome the shortcoming of ignoring the influence of pile diameters for settlement calculation of pile foundations, based on Mindlin displacement solution, according to the suppose of Geddes stress solution, an analytical expression of settlement for pile foundations under vertical load was strictly deduced considering the influence of pile diameter. During the duduction the circle was divided into some parts, so the analytical expression was carried out by numerical integration method. Thenumerieal integration solution was applicable to the settlement calculation for pile groups whose pile spacing was large, piles were distributed irregularly and pile lengthes were inequable, single pile and piles with enlarge base. It was shown by calculations of engineering cases that the analytical solution was reliable to be used to calculate the settlement in engineering projects.