将桩网复合地基中的水平加筋垫层视为弹性薄板，垫层下的竖向桩体及桩间土体视为不同刚度的弹簧体系，基于Filonenko−Borodich双参数弹性地基模型，考虑加筋垫层的抗弯、拉作用，根据静力平衡建立薄板挠曲变形控制微分方程，并利用Bessel复变函数推导出相应的挠度函数。在此基础上，考虑桩土变形协调，推导桩网复合地基桩土应力比及沉降的计算公式。为验证本文方法的可行性，对某工程算例进行计算分析。最后，基于本文方法，探讨分析加筋垫层复合弹性模量、筋材拉力、桩土刚度比等因素对桩网复合地基桩土应力比和沉降的影响。研究结果表明：计算与实测结果吻合良好。桩土应力比随桩土刚度比、加筋垫层复合弹性模量及格栅拉力的增大而增大。%The horizontal reinforced mattress was regarded as a thin plate based on the Filonenko−Borodich double-parameter foundation model. Piles and the surrounding soils were simplified as springs with different rigidities. According to static equilibrium of the model, the governing differential equation was established with consideration of the bending and tension of the reinforced mattress and the deformation of the pile and the soil. Using Bessel complex-variables functions, a deformation function of horizontal reinforced mattress was deduced. Then according to the deformation compatibility conditions, the formulas of the pile-soil stress ratio and settlement of the composite foundation were deduced relatively. Finally, two existing cases were employed for calculation and analysis. The influences of the tension force and the pile-soil stiffness ratio on the behavior of the composite foundation were also discussed respectively based on the current solution. The results show that the analysis results of the current solutions has a good agreement with the test results. The pile-soil ratio increases with the increase of the pile-soil rigidity ratio, composite modulus of reinforced mattress and tensile force of geosynthetic.
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