工程力学 ›› 2019, Vol. 36 ›› Issue (2): 134-140.doi: 10.6052/j.issn.1000-4750.2017.12.0928

• 土木工程学科 • 上一篇    下一篇

连续排水边界下梯形循环荷载作用的一维固结解析解

李勇义1,2,3, 冯健雪1,2,3, 梅国雄1,2,3   

  1. 1. 工程防灾与结构安全教育部重点实验室, 广西, 南宁 530004;
    2. 广西防灾减灾与工程安全重点实验室, 广西, 南宁 530004;
    3. 广西大学土木建筑工程学院, 广西, 南宁 530004
  • 收稿日期:2017-12-07 修回日期:2018-08-08 出版日期:2019-02-22 发布日期:2019-02-22
  • 通讯作者: 梅国雄(1975-),男,湖北人,教授,博士,长江学者,主要从事固结理论和土体基本性质研究(E-mail:meiguox@163.com). E-mail:meiguox@163.com
  • 作者简介:李勇义(1990-),男,湖北人,硕士生,主要从事软土地基处理研究(E-mail:leeyounguni@163.com);冯健雪(1985-),男,贵州人,博士生,主要从事软土地基固结理论研究(E-mail:fengjianxue@mail.gxu.cn).
  • 基金资助:
    国家自然科学基金项目(51578164,41672296);广西自然科学基金创新研究团队项目(2016GXNSFGA380008)

ONE-DIMENSIONAL CONSOLIDATION ANALYSIS OF THE TRAPEZOIDAL CYCLIC LOADING UNDER CONTINUOUS DRAINAGE BOUNDARY

LI Yong-yi1,2,3, FENG Jian-xue1,2,3, MEI Guo-xiong1,2,3   

  1. 1. Key Laboratory of Disaster Prevention and Structural Safety of Ministry of Education, Nanning, Guangxi 530004, China;
    2. Guangxi Key Laboratory of Disaster Prevention and Structural Safety, Nanning, Guangxi 530004, China;
    3. College of Civil Engineering and Architecture, Guangxi University, Nanning, Guangxi 530004, China
  • Received:2017-12-07 Revised:2018-08-08 Online:2019-02-22 Published:2019-02-22

摘要: 针对现有固结问题中边界排水面存在孔压突变为零的问题,引入连续排水边界条件,基于该边界推导了考虑任意荷载作用的连续排水边界条件,并在此基础上建立了一维均质地基固结模型,求得其无量纲化的一般解答。将梯形循环荷载的傅里叶级数展开式的各项分别代入固结一般解答中,最后运用叠加原理将所求得的固结解答叠加,即是连续排水边界下梯形循环荷载作用的一维固结解析解。将本文梯形循环荷载退化为骤加荷载,并和已有文献进行对比,验证了所求解析解的合理性。通过参数分析,研究了界面参数和梯形循环荷载对固结性状的影响。

关键词: 连续排水边界, 梯形循环荷载, 傅里叶级数, 叠加原理, 解析解

Abstract: Aiming at the contradiction between the initial condition and the boundary condition in the existing consolidation problem, a continuous drainage boundary is introduced, and a continuous drainage boundary condition considering the arbitrary loadings is deduced on the basis of it, a one-dimensional consolidation model of the foundation under arbitrary loadings is established, and its dimensionless general answer was obtained. Then the Fourier series expansion of the trapezoidal cyclic loadings is substituted into the consolidation analysis. Finally, the superposition principle is used to superimpose the obtained consolidation solution, which is the one-dimensional consolidation analytical solution of trapezoidal cyclic loading under a continuous drainage boundary. The trapezoidal loading is reduced to a sudden load and compared with the existing literature to verify the rationality of the solution. The influence of interface parameters and trapezoidal cyclic loadings on the consolidation behavior was studied by parametric analysis.

Key words: continuous drainage boundary, the trapezoidal cyclic loadings, the Fourier series, superposition principle, analytical solution

中图分类号: 

  • TU447
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