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考虑复合地基边界约束条件的影响,采用复合地基单元体模型,基于变形一致的原则,推导了复合地基在弹性变形阶段的等效变形模量和等效泊松比的解析解。研究表明,复合地基的等效弹性常数与复合单元体侧向约束条件有关,侧向约束越强,等效变形模量越大,泊松比越小。侧限条件和无侧限条件的等效弹性常数是复合地基各种约束情况下的2个极值,在较强的侧限约束条件下,等效泊松比随置换率的变化相对明显。研究还表明,按面积加权法计算的复合变形模量偏小,而计算的复合压缩模量偏大,等效压缩模量与加权法计算的差值随置换率不同而异,并随着桩土压缩模量比的增大而增加,其差异一般可达20%～30%。
Considering the influence of the boundary conditions of composite foundation, the equivalent deformation modulus and the equivalent Poisson’s ratio of the composite foundation during the elastic deformation stage are deduced based on the unit foundation model of composite foundation and the principle of consistent deformation. The results show that the equivalent elastic constants of the composite foundation are related to the lateral restraints of composite elements, the stronger the lateral restraint, the larger the equivalent deformation modulus, and the smaller the Poisson’s ratio. The equivalent elastic constants of the confined and unconfined conditions are the two extremum under various constraints of the composite foundation. Under the condition of strong confinement constraints, the equivalent Poisson’s ratio changes obviously with the replacement rate. The study also shows that composite deformation modulus calculated by area weight method is small, and calculated composite compression modulus is too large. The difference between equivalent compressive modulus and weighted method varies with replacement rate, and with the pile Soil compression modulus increases and increases, the difference is generally up to 20% to 30%.