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一致粘弹性人工边界及粘弹性边界单元 预览 被引量:253

Consistent viscous-spring artificial boundaries and viscous-spring boundary elements
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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。 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.
作者 刘晶波 谷音 杜义欣 LIU Jing-bo, GU Yin, DU Yi-xin (Department of Civil Engineering, Tsinghua University, Beijing 100084, China )
出处 《岩土工程学报》 EI CAS CSCD 北大核心 2006年第9期 1070-1075,共6页 Chinese Journal of Geotechnical Engineering
基金 国家自然科学基金资助项目(50478014) 国家973重点基础研究资助项目(2002CB412706) 北京市自然科学基金重点资助项目(8061003)
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 viscous-spring artificial boundary artificial boundary element finite element layered half space soil-structure interaction
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