基于比拟方程法的桩承式加筋体三维分析方法  

3-D analysis method for pile-supported geosynthetic reinforcements based on analog equation method

作　　者：李晓龙 史宏彦[2] LI Xiao-long;SHI Hong-yan(Guangdong Yuelu Highway Survey and Design Co.,Ltd.,Guangzhou 510000,China;Guangdong University of Technology,Guangzhou 510006,China)

机构地区：[1]广东粤路勘察设计有限公司,广东广州510000 [2]广东工业大学,广东广州510006

出　　处：《岩土工程学报》2020年第5期925-933,共9页Chinese Journal of Geotechnical Engineering

摘　　要：桩承式加筋体的载荷–变形是复杂的三维力学问题,目前三维理论分析方法尚不完善。鉴于此,以三维情况下方形布桩的加筋体为研究对象,将其视为受上部荷载和桩间土反力共同作用下的空间薄膜,并基于最小势能原理推导了其三维平衡偏微分方程组。鉴于该方程组具有形式复杂及高度非线性的特点,针对荷载均匀分布及无地基反力的情况,应用薄膜分析中的比拟方程法进行求解,据此计算加筋体的变形与拉力,初步建立了一种桩承式加筋体的三维分析方法。最后,通过一个现场试验算例计算和结果对比分析初步验证了三维分析方法的合理性。The load-deformation behavior of pile-supported geosynthetic reinforcements(GRs) is a complicated three-dimensional mechanical problem, and so far the 3-D analytical methods have not been well-established. Therefore the GRs with piles in square-type layout under 3-D conditions are taken as the research objects, which are regarded as the spacial membranes under the combined effect of the upper load and the subsoil reaction among piles. The partial differential equilibrium equations are derived based on the minimum potential energy principle. For the conditions of uniform load and without subsoil reaction, the analog equation method in the membrane analysis is used to solve the equations in view of their complex forms and highly nonlinear characteristics. Then the deformation and tensile force of GRs are accordingly calculated, and the 3-D analytical method for the pile-supported GRs is established. Finally, the rationality of the method is validated primitively by comparing the calculated and observed results of a field test example.

关 键 词：桩承式加筋路堤 加筋体 三维分析 比拟方程法 

分 类 号：TU470[建筑科学—结构工程]