基于黏弹性边界的P波斜入射波场分解方法精度比较  

Precision comparison of different field decomposition methods of oblique incidence of P wave based on viscoelastic boundary

作　　者：张梁 朱海涛[1,2] 梁建文[1,2] 巴振宁[1,2] ZHANG Liang;ZHU Haitao;LIANG Jianwen;BA Zhenning(School of Civil Engineering,Tianjin University,Tianjin 300072,China;Key Laboratory of Coast Civil Structure Safety of Ministry of Education,Tianjin University,Tianjin 300072,China)

机构地区：[1]天津大学建筑工程学院,天津300072 [2]滨海土木工程结构与安全教育部重点实验室(天津大学),天津300072

出　　处：《地震工程与工程振动》2020年第2期177-186,共10页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金项目(51478311);天津大学自主创新基金(2017XRX-0018)。

摘　　要：黏弹性人工边界以其概念清晰,稳定性高,精度良好的优点,在地下结构抗震的研究中已经得到了较为广泛的应用。在使用黏弹性边界进行地震动的输入时,需要把地震波转化为模型网格节点上的等效节点力,这个过程就要涉及到波场分解的问题。波场分解的方式可以不同,但不同的波场分解方式会得出精度不同的计算结果,而学界目前尚未就此达成一致。本文在前人研究的基础上,总结了3种地震波斜入射的波场分解方法,编制了相应的Python脚本来实现黏弹性边界和等效节点力的批量施加,并且以不同角度的地震波斜入射为例在同一有限元模型中计算以进行比较研究。结果表明计算精度与波场分解的方式密切相关:在模型边界上考虑的自由场波动叠加越完整,计算结果越精确。Viscoelastic artificial boundary has been widely used in the research of underground structure seismic resistance due to its advantages of clear concept, high stability and good precision.When the viscoelastic boundary is used for the input of ground motion, the seismic waves need to be transformed into the equivalent nodal forces on the grid nodes of the model, which involves the problem of wave field decomposition.Wave field decomposition methods can be different, but different wave field decomposition methods will give different precision of the calculation results, and the academia has not reached an agreement on this.On the basis of previous studies, this paper summarized three wave field decomposition methods for oblique incidence of seismic waves, compiled corresponding Python scripts to realize batch application of viscoelastic boundary and equivalent nodal force, and took oblique incidence of seismic waves from different angles as an example to calculate in the same finite element model for comparative study.The results show that the calculation accuracy is closely related to the mode of field decomposition of seismic wave.

关 键 词：黏弹性边界 地震波斜入射 波场分解 ABAQUS PYTHON 

分 类 号：TU435[建筑科学—岩土工程]