基于高阶双渐近透射边界的重力坝-层状地基动力相互作用分析  

The dyanmic analysis of gravity dam-layered foundation interaction based on a high-order doubly asymptotic open boundary

作　　者：高毅超[1,2] 徐艳杰 金峰[3] GAO YiChao;XU YanJie;JIN Feng(College of Civil Engineering,Huaqiao University,Fujian Xiamen 361021,China;Key Laboratory of Structural Engineering and Disaster Prevention of Fujian Province,Fujian Xiamen 361021,China;State Key Laboratory of Hydroscience and Hydraulic Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]华侨大学土木工程学院,福建厦门361021 [2]福建省结构工程与防灾重点实验室,福建厦门361021 [3]清华大学水沙科学与水利水电工程国家重点实验室,北京100084

出　　处：《地球物理学报》2019年第7期2582-2590,共9页Chinese Journal of Geophysics

基　　金：国家自然科学基金项目(51409107);福建省科技重大项目(2015Y4007);福建省自然科学基金项目(2015J01208)资助

摘　　要：时域高阶双渐近透射边界能够同时模拟层状介质中行波和快衰波的传播,具有很高的计算精度和计算效率.本文将高阶双渐近透射边界推广应用到多层层状地基系统弹性波传播问题的模拟,采用广义特征值分解分析该透射边界的数值稳定性,通过移谱法消除导致数值不稳定的虚假模态.将高阶双渐近透射边界以超单元的形式直接嵌入到近场有限元方程,建立了有限元-高阶双渐近透射边界时域耦合分析模型,并将其应用到重力坝-层状地基动力相互作用分析.数值算例分析结果表明,该时域耦合分析模型具有很高的精度和计算效率,适用于实际重力坝工程的地震响应分析.The high-order doubly asymptotic open boundary in the time domain is capable of accurately modeling traveling and evanescent waves in layered medium with high computational accuracy and efficiency. In this paper,the high-order doubly asymptotic open boundary is extended to the analysis of elastic wave propagation in a semi-infinite multiple layered foundation systems. The numerical stability of this open boundary is analyzed by the generalized eigenvalue decomposition. Possible spurious modes are eliminated by using the spectral shifting technique. Embedding the high-order doubly asymptotic open boundary as a super element into the near-field finite element equation,a time-domain coupled analysis model is established. This model is applied to the analysis of dynamic gravity dam-layered foundation interaction. Numerical results demonstrate that this proposed model is of high accuracy and efficiency and applicable to seismic response analysis of real gravity dams.

关 键 词：重力坝 透射边界 层状地基 双渐近 比例边界有限单元法 

分 类 号：P315[天文地球—地震学]