三维一致粘弹性人工边界及等效粘弹性边界单元  

3D CONSISTENT VISCOUS-SPRING ARTIFICIAL BOUNDARY AND VISCOUS-SPRING BOUNDARY ELEMENT

作　　者：谷音[1] 刘晶波[2] 杜义欣[2] 

机构地区：[1]福州大学土木工程学院,福州350002 [2]清华大学土木工程系,北京100084

出　　处：《工程力学》2007年第12期31-37,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(50478014);国家973重点基础研究项目(2002CB412706);北京市自然科学基金重点项目(8061003)

摘　　要：基于粘弹性人工边界推导了三维一致粘弹性人工边界单元的刚度及阻尼矩阵,利用单元矩阵等效原理采用普通有限单元构造了等效粘弹性边界单元来模拟三维粘弹性边界。均匀半空间算例与成层半空间算例证明三维粘弹性边界单元具有与集中粘弹性人工边界相近的精度,并且施加更为简便。The stiffness and damping matrixes of 3D consistent artificial boundary are deduced through viscous-spring artificial boundary theory. 3D equivalent viscous-spring artificial boundary element is developed by comparing the matrixes of general finite element and consistent viscous-spring artificial boundary. This boundary element is applied to uniform and layered half space problems, respectively. The results show that 3D equivalent viscous-spring boundary element has the same precision as viscous-spring artificial boundary, and the former is more applicable and simple.

关 键 词：波动 粘弹性人工边界 三维有限元模型 人工边界单元 成层半空间 结构-地基动力相互作用 

分 类 号：TU435[建筑科学—岩土工程] O347.4[建筑科学—土工工程]