高毅超^1,2,,
徐艳杰³,
金峰³
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

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


详细信息

作者简介: 高毅超, 男, 1985年生, 讲师, 从事结构动力响应分析研究.E-mail:gyc@hqu.edu.cn

中图分类号: P315

收稿日期:2018-04-06
修回日期:2019-02-22
上线日期:2019-07-05

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

GAO YiChao^1,2,,
XU YanJie³,
JIN Feng³
1. College of Civil Engineering, Huaqiao University, Fujian Xiamen 361021, China
2. Key Laboratory of Structural Engineering and Disaster Prevention of Fujian Province, Fujian Xiamen 361021, China
3. State Key Laboratory of Hydroscience and Hydraulic Engineering, Tsinghua University, Beijing 100084, China


MSC: P315

--> Received Date: 06 April 2018
Revised Date: 22 February 2019
Available Online: 05 July 2019


摘要
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.
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

Abstract: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.
Key words:Gravity dam/
Transmitting boundary/
Layered foundation/
Doubly asymptotic/
Scaled boundary finite element method



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