[1]王 东,袁 帅,张森豪,等.动力固结问题的弱形式求积元分析[J].西安建筑科技大学学报(自然科学版),2020,52(02):222-226.[doi:10.15986/j.1006-7930.2020.02.010]
　WANG Dong,YUAN Shuai,ZHANG Senhao,et al.Dynamic consolidation analysis by the weak form quadrature element method[J].J. Xi’an Univ. of Arch. & Tech.(Natural Science Edition),2020,52(02):222-226.[doi:10.15986/j.1006-7930.2020.02.010]
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动力固结问题的弱形式求积元分析()
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西安建筑科技大学学报（自然科学版）[ISSN:1006-7930/CN:61-1295/TU]

卷:
52
期数:
2020年02期
页码:
222-226
栏目:
出版日期:
2020-04-25

文章信息/Info

Title:
Dynamic consolidation analysis by the weak form quadrature element method
文章编号:
1006-7930(2020)02-0222-05
作者:
王 东1; 袁 帅2; 张森豪2; 司晓东2; 周容名2
(1. 山西省交通规划勘察设计院有限公司,山西 太原 030032; 2. 长安大学 公路学院,陕西 西安 710064)
Author(s):
WANG Dong1;  YUAN Shuai2;  ZHANG Senhao2;  SI Xiaodong2;  ZHOU Rongming2
(1.The Communications Planning Surveying and Designing Institute of Shanxi Province, Taiyuan 030012, China; 2. School of Highway,Chang’an University, Xi’an 710064, China)
关键词:
弱形式求积元法;  饱和土;  Biot动力固结理论
Keywords:
the weak form quadrature element method;  saturated soils;  Biot’s theory of dynamic consolidation
分类号:
TU433
DOI:
10.15986/j.1006-7930.2020.02.010
文献标志码:
A
摘要:
弱形式求积元法是一种新型的高阶方法,已经在岩土及结构分析中取得了成功的应用,本文对该方法进行进一步的发展和完善,将其应用于饱和土动力固结分析.首先基于Biot饱和土波动理论框架,以孔隙水压力和土体骨架位移为基本控制变量,建立饱和土波动问题控制方程弱形式描述,然后应用Lobatto积分和微分求积法进行数值积分和数值微分并采用Newmark方法进行时域逐步积分,建立饱和土波动问题求积元法求解列式.通过数值算例验证了本文方法的正确性,显示了方法的计算效率
Abstract:
The weak form quadrature element method is a novel high order algorithm applied successfully in structural and geotechnical engineering. In the present study, it is reformulated for dynamic consolidation analysis of saturated soils. Based on Biot’s theory of dynamic consolidation, the pore pressure and soil displacement are chosen to be the control variables to establish the weak form governing equations. Then the Lobatto integration rule and the differential quadrature method are employed respectively to numerically integrate and differentiate the weak form governing equations, and the Newmark scheme is used for time integration. The established formulation is verified by numerical examples and its efficiency is highlighted

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2019-01-21 修改稿日期:2020-03-25
基金项目:陕西省自然科学基础研究计划基金资助(2018JQ5098)
第一作者:王 东(1982-),男,高级工程师,主要从事工程设计及计算研究.E-mail: 94794161@qq.com
更新日期/Last Update: 2020-04-25