力学与实践 ›› 2017, Vol. 39 ›› Issue (3): 274-279.DOI: 10.6052/1000-0879-16-325

• 应用研究 • 上一篇    下一篇

地基变形计算的修正Flamant解

王华宁1, 宋飞1, 刘芳2   

  1. 1. 同济大学航空航天与力学学院, 上海 200092;
    2. 同济大学土木工程学院地下建筑与工程系, 上海 200092
  • 收稿日期:2016-10-09 修回日期:2017-02-10 出版日期:2017-06-15 发布日期:2017-06-30
  • 通讯作者: 王华宁,博士,教授,主要从事岩土工程中数值与解析方法的研究和教学工作.E-mail:wanghn@tongji.edu.cn
  • 基金资助:

    国家自然科学基金(11572228)和同济大学2015-2016年教学改革研究与建设资助项目.

Modified Flamant's solution for foundation deformation

WANG Huaning1, SONG Fei1, LIU Fang2   

  1. 1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China;
    2. Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, China
  • Received:2016-10-09 Revised:2017-02-10 Online:2017-06-15 Published:2017-06-30

摘要:

针对地表分布载荷作用下地基变形的半平面问题,利用对称化方法对Flamant位移解答进行修正,得到有限深度底部光滑刚性支撑的地基位移的精确解.该解与相同条件下的有限元数值计算结果基本一致.修正解与原解的对比表明,两者差异较大;但当基点距离载荷较近时,两者所得到的地表附近的相对沉陷分布形式和大小差别不大.

关键词:

地基沉陷|半无限平面|Flamant解答

Abstract:

The Flamant solution is improved through a symmetric treatment to obtain accurate displacement fields of a rigid foundation with a frictionless base subjected to uniformly distributed loads. The modified version of the Flamant solution gives results in good agreement with the results obtained by the finite element simulation. It is shown that the original and modified Flamant solutions provide different horizontal and vertical displacements. However, both solutions give similar magnitudes and spatial patterns of the relative settlements when the zero-displacement-point is near the region where the loads are applied.

Key words:

foundation settlement|semi-infinite plane|Flamant solutions

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