摘要
基于柱面波波动方程,推导建立了适用于土-结构地震动力相互作用分析的地震动输入和人工边界的处理方法。其中,地震动的输入是通过在人工边界上施加等效节点力来实现的,等效节点力的大小与入射地震波波速成正比;而人工边界的处理方法使得人工边界条件不仅在时间上是局部的,而且在空间上也是局部的。这种处理方法简单、有效,物理意义清晰,且很容易在有限元法中实现,结合Newmark时间积分是无条件稳定的。为了验证方法的有效性和精度,给出了两个算例,分别用于检验人工边界条件的性能以及地震动输入方法的正确性。算例分析结果表明,所提出的方法是十分有效的。
Based on the cylindrical wave equation, a method of earthquake input and artificial boundary for seismic soil-structure interaction analysis is presented. The artificial boundary condition is local in both time and space and the earthquake input is implemented at the base of the finite computational domain through a set of nodal equivalent forces, which is proportional to the velocity of the incident seismic wave. The proposed method is simple but efficient; and it can be implemented in finite element method without difficulty. Moreover, the time-stepping algorithm based on Newmark＇s method in conjunction with this method is unconditionally stable. Two Numerical examples were conducted to verify the validity and accuracy of the method.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2006年第9期1501-1504,共4页
Rock and Soil Mechanics
基金
国家自然科学基金重点资助项目(No2002CB412709)
关键词
土-结构相互作用
人工边界
地震动输入
地震响应分析
有限元法
soil-structure interaction
artificial boundary
seismic input
seismic response analysis
finite element method
