华南理工大学学报(自然科学版) ›› 2019, Vol. 47 ›› Issue (11): 140-146.doi: 10.12141/j.issn.1000-565X.180628

• 土木建筑工程 • 上一篇    

饱和多孔介质中外源振动输入方法的研究

胡丹1 张开银1 孙亮1,3 李芬1† 张磊2   

  1. 1. 武汉理工大学 交通学院,湖北 武汉 430063; 2. 武汉理工大学 土木工程与建筑学院,湖北 武汉 430063; 3. 大连理工大学 海岸和近海工程国家重点实验室,辽宁 大连 116024
  • 收稿日期:2018-12-19 修回日期:2019-06-25 出版日期:2019-11-25 发布日期:2019-10-02
  • 通信作者: 李芬(1974-),女,副教授,主要从事桩—土相互作用的研究. E-mail:jessilifen@126.com
  • 作者简介:胡丹(1989-),女,博士,主要从事桩–饱和土动力相互作用的研究. E-mail:hudan1989.happy@163.com
  • 基金资助:
    国家自然科学基金青年科学基金资助项目( 51808421)

Study on the External Excitation Input Methods for Porous Medium

HU Dan1 ZHANG Kaiyin1 SUN Liang1,3 LI Fen1 ZHANG Lei2   

  1. 1. School of Transportation,Wuhan University of Technology,Wuhan 430063,Hubei,China; 2. School of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan 430063,Hubei,China; 3. State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116024,Liaoning,China
  • Received:2018-12-19 Revised:2019-06-25 Online:2019-11-25 Published:2019-10-02
  • Contact: 李芬(1974-),女,副教授,主要从事桩—土相互作用的研究. E-mail:jessilifen@126.com
  • About author:胡丹(1989-),女,博士,主要从事桩–饱和土动力相互作用的研究. E-mail:hudan1989.happy@163.com
  • Supported by:
    Supported by the National Natural Science Foundation for Young Scholars( 51808421)

摘要:

通过建立数值模型研究外源振动下结构 - 地基体系的动力响应时,往往涉及到半无限地基的模拟以及外源振动的输入. 常见的外源振动输入方法主要包括波动法、人工边界子结构法和区域缩减方法( DRM) 等. 文中首先结合 FLAC3D和 Matlab 比较了人工边界子结构法和 DRM 方法对单相介质波动问题的适用性,发现 DRM 方法得到的自由场响应与一维精确解一致; 进一步将人工边界子结构法和 DRM 方法推广到饱和多孔介质中,分别提出了将外源振动转化为节点等效力和等效流量的表达式; 最后通过垂直入射地震波动作用下弹性半无限饱和地基响应算例比较了两种方法的可行性. 结果表明,DRM 方法得到的自由场响应与一维精确解完全一致,而人工边界子结构法得到的响应值偏小.

关键词:

Abstract: The numerical methods have been widely used to solve the structure-foundation interaction problems in which the semi-infinite medium simulation and the external excitation input method are of most concern. The com- monly used external excitation input methods include the wave method,the artificial boundary substructure method and the domain reduction method ( DRM) ,etc. Firstly,the applicability of different wave input methods for single- phase media e are compared by virtue of FLAC3D and Matlab,and the results show that the free field response ob- tained by the DRM method match well with the one-dimensional analytical solution. Further,the artificial boundary substructure method and DRM method are applied to porous medium,respectively,and the formula to transfer ex- ternal excitation into equivalent force and equivalent discharge are proposed. Finally,the feasibility of two methods are compared and verified with the elastic semi-infinite saturated foundation response under the effect of vertical seismic wave. The results indicate that the free field response value obtained by the DRM method is consistent with the one-dimensional analytical solution,however,the response value obtained by the artificial boundary substruc- ture method is much smaller.

Key words: saturated porous medium, artificial boundary substructure method, domain reduction method, external excitation input method