岩土力学 ›› 2022, Vol. 43 ›› Issue (11): 3144-3152.doi: 10.16285/j.rsm.2021.2196

• 数值分析 • 上一篇    下一篇

基于完美匹配层人工边界的坝-基动力 相互作用研究

彭刚1, 2，刘云龙1, 2，陈灯红1, 2，候春平1, 2，林天成1, 2，刘云辉1, 2   

  1. 1. 三峡大学 防灾减灾湖北省重点实验室，湖北 宜昌 443002；2. 三峡大学 土木与建筑学院，湖北 宜昌 443002
  • 收稿日期:2021-12-29 修回日期:2022-07-13 出版日期:2022-11-11 发布日期:2022-12-02
  • 通讯作者: 陈灯红，男，1983年生，博士，教授，主要从事结构抗震研究。E-mail: d.chen@ctgu.edu.cn E-mail:871399412@qq.com
  • 作者简介:彭刚，男，1963年生，博士，教授，主要从事混凝土材料动力性能与水工结构抗震研究。
  • 基金资助:
    国家自然科学基金（No. 52079072）；土木工程防灾减灾湖北省引智创新示范基地（No. 2021EJD026）。

Study on the dam-foundation dynamic interaction based on artificial boundary of perfectly matched layer

PENG Gang1, 2, LIU Yun-long1, 2, CHEN Deng-hong1, 2, HOU Chun-ping1, 2, LIN Tian-cheng1, 2, LIU Yun-hui1, 2   

  1. 1. Hubei Key Laboratory of Disaster Prevention and Mitigation, China Three Gorges University, Yichang, Hubei 443002 China; 2. College of Civil Engineering and Architecture, China Three Gorges University, Yichang, Hubei 443002 China
  • Received:2021-12-29 Revised:2022-07-13 Online:2022-11-11 Published:2022-12-02
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (52079072) and the 111 Project of Hubei Province (2021EJD026).

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摘要： 混凝土坝-地基动力相互作用是高混凝土坝地震响应分析及安全评估中一个非常重要的方面。根据完美匹配层（perfectly matched layer，简称 PML）理论，对有关完美匹配层人工边界时域下的波动方程及有限元方程进行了推导。通过瞬态动力荷载作用波吸收性能问题验证了PML人工边界模拟远域辐射阻尼的准确性和稳定性。构建基于域缩减法（domain reduction method，简称 DRM ）与 PML 人工边界联合的地震动输入模型，验证了基于 PML 人工边界地震动输入模型的可靠性和有效性。以某混凝土重力坝挡水坝段为例，比较了PML人工边界及动输入模型、传统无质量地基模型以及黏弹性人工边界模型的结果。结果表明：采用 PML 人工边界后，坝体坝顶点的水平、竖直相对位移动力响应峰值较无质量地基模型分别减小了约 40.6%、31.7%，且 PML 人工边界与黏弹性人工边界的相对峰值位移较为接近，从而为大坝地震动响应分析和合理的地震动输入提供参考。

关键词: 完美匹配层人工边界, 坝-基动力相互作用, 域缩减法, 地震动输入, 重力坝地震响应

Abstract: Concrete dam-foundation dynamic interaction plays an important role in the earthquake response analysis and safety assessment of the high concrete dam. Based on perfectly matched layer (PML) theory, the wave equation and finite element equation of perfectly matched layer artificial boundary in time domain are deduced and implemented. The accuracy and stability of PML artificial boundary simulation of far-field radiation damping is verified through the problem of wave absorption under the transient dynamic load. The reliability and validity of the ground motion input model based on PML artificial boundary is verified based on domain reduction method (DRM) and PML artificial boundary. A retaining dam section of a concrete gravity dam is considered. The results of PML artificial boundary and seismic input model, traditional massless foundation model and viscous-spring artificial boundary model are compared. It is found that the peak values of the horizontal and vertical relative displacement of the dam crest with the PML artificial boundary are reduced by about 40.6% and 31.7% when compared with those of the massless foundation model, and the relative peak displacements of PML artificial boundary are close to those of viscous-spring artificial boundary, which provides reference for analysis of dam seismic response and reasonable seismic input.

Key words: perfectly matched layers, dam-foundation dynamic interaction, domain reduction method, seismic input, seismic response of gravity dam.

中图分类号: TV 312
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