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一致粘弹性人工边界及粘弹性边界单元
引用本文:刘晶波,谷音,杜义欣.一致粘弹性人工边界及粘弹性边界单元[J].岩土工程学报,2006,28(9):1070-1075.
作者姓名:刘晶波  谷音  杜义欣
作者单位:清华大学土木工程系;清华大学土木工程系 北京100084;北京100084;
基金项目:国家自然科学基金;国家重点基础研究发展计划(973计划);北京市自然科学基金
摘    要:提出了一致粘弹性人工边界及粘弹性人工边界单元的概念,推导了二维一致粘弹性人工边界单元刚度及阻尼矩阵,并在其基础上使用矩阵等效原理实现了采用普通有限单元模拟的二维粘弹性边界单元。均匀半空间算例与成层半空间算例验证了粘弹性边界单元具有与集中粘弹性人工边界相同的精度,并且实施更为简便。

关 键 词:粘弹性人工边界  人工边界单元  有限元  成层半空间  结构-地基动力相互作用  
文章编号:1000-4548(2006)09-1070-06
收稿时间:2005-07-06
修稿时间:2005-07-06

Consistent viscous-spring artificial boundaries and viscous-spring boundary elements
LIU Jing-bo,GU Yin,DU Yi-xin.Consistent viscous-spring artificial boundaries and viscous-spring boundary elements[J].Chinese Journal of Geotechnical Engineering,2006,28(9):1070-1075.
Authors:LIU Jing-bo  GU Yin  DU Yi-xin
Affiliation:Department of Civil Engineering Tsinghua University Beijing 100084 China
Abstract:The concept of the consistent viscous-spring artificial boundaries and viscous-spring boundary elements was proposed. The stiffness matrix and damp matrix of the 2D consistent artificial boundaries were deduced. The equivalent viscous-spring artificial boundary elements were developed by comparing the matrix of the general finite element and the consistent viscous-spring artificial boundaries. This method was applied to the uniform and layered half space problems. It was shown that the precision of viscous-spring boundary elements was the same as that of lumped viscous-spring artificial boundaries. The viscous-spring boundary elements were efficient and could be applied simply.
Keywords:viscous-spring artificial boundary  artificial boundary element  finite element  layered half space  soil-structure interaction
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