广东工业大学学报 ›› 2021, Vol. 38 ›› Issue (05): 75-81,118.doi: 10.12052/gdutxb.200129

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任意荷载作用下桩撑路堤中加筋体的变形和拉力计算

余艳芳, 史宏彦   

  1. 广东工业大学 土木与交通工程学院，广东 广州 510006
  • 收稿日期:2020-09-30 出版日期:2021-09-10 发布日期:2021-07-13
  • 通信作者: 史宏彦(1962–)，男，教授，主要研究方向为岩土本构理论、深基坑工程及软土地基的数值模拟与反演方法，E-mail：shhy@163.com E-mail:shhy@163.com
  • 作者简介:余艳芳(1995–)，女，硕士研究生，主要研究方向为桩撑路堤中加筋体的变形和拉力计算

Determination of Deformation and Tension of Geosynthetic Reinforcement in Piled Embankments under Arbitrarily Distributed Loads

Yu Yan-fang, Shi Hong-yan   

  1. School of Civil and Transportation Engineering, Guangdong University of Technology, Guangzhou 510006, China
  • Received:2020-09-30 Online:2021-09-10 Published:2021-07-13

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摘要： 确定加筋体的变形和拉力是桩撑式路堤设计中的一个重要内容, 但目前的方法大多都做了一些简化, 如加筋体内的拉力是均匀的以及变形后的加筋体是圆弧或抛物线等。本文针对任意荷载作用下的平面加筋体, 推导出了相应的平衡方程, 并通过分析这些平衡方程后发现, 仅当加筋体表面光滑并且作用在加筋体表面的法向应力为均匀分布时, 加筋体内的拉力才是均匀的, 变形后的加筋体也才是圆弧。此外, 由于边界条件的不完备, 仅仅利用平衡方程不可能确定出加筋体的变形和拉力。基于以上分析, 提出了一种结合加筋体平衡条件与变形相容条件(即利用加筋体的平衡方程求出的加筋体长度应当与加筋体原始长度及拉力产生的长度之和相同)确定加筋体变形和拉力的简单数值解法。文中不同条件下的4个算例验证了该方法的合理性和可行性。

关键词: 任意荷载, 桩撑路堤, 加筋体, 变形, 拉力, 数值方法

Abstract: It is an important part to determine the deformation and tensile force of geosynthetic reinforcement (GR) in the design of piled embankments, but some simplifications such as the uniform tension and a circular arc or quadratic parabola shape of the deformed GR have been used in the current methods. Under plain strain condition, the equilibrium equations of GR are derived under arbitrarily distributed loads, and it is found that the deformed GR has a circular shape and the uniform tension only if the friction acting on the GR is ignored and the normal load is in uniform distribution. Furthermore, the deformation and tension of GR can't be determined only by using the equilibrium equations due to the imperfection of their boundary conditions. A simple numerical method to determine the deformation and tensile force of GR is presented on the basis of the combination of the equilibrium equations with the deformation consistency (the arc length obtained by the equilibrium equations is equal to that by the tensile force plus its initial length) of GR. The rationality and practicability are validated by the four examples.

Key words: arbitrarily distributed loads, piled embankments, geosynthetic reinforcement, deformation, tensile force, numerical method

中图分类号: 

  • TU431
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