平面P1波入射下海底隧道与海床土交界面
滑移接触效应解析解

doi:10.16285/j.rsm.2023.0795

岩土力学 ›› 2023, Vol. 44 ›› Issue (10): 3049-3058.doi: 10.16285/j.rsm.2023.0795

平面P₁波入射下海底隧道与海床土交界面滑移接触效应解析解

朱赛男^{1, 2}，陈艳华¹，王宁¹，李伟华³，张为为¹

1. 华北理工大学建筑工程学院，河北唐山 063210；2. 华北理工大学河北省地震工程研究中心，河北唐山 063210； 3. 北京交通大学土木建筑工程学院，北京 100044

收稿日期:2023-06-12 接受日期:2023-08-25 出版日期:2023-10-13 发布日期:2023-10-16
作者简介:朱赛男，女，1990年生，博士，讲师，主要从事岩土工程抗震方面的研究。
基金资助:
国家自然科学基金（No.52078033）；河北省自然科学基金（No.E2020209072）；唐山市科技局应用基础研究项目（No.22130211H）；河北省省属高等学校基本科研业务费研究项目（No.JQN2023018）。

Analytical solution of imperfect contact effect at the interface between undersea tunnel and seabed soil under plane P₁ waves incidence

ZHU Sai-nan^{1, 2}, CHEN Yan-hua¹, WANG Ning¹, LI Wei-hua³, ZHANG Wei-wei¹

1. College of Civil and Architectural Engineering, North China University of Science and Technology, Tangshan, Hebei 063210, China; 2. Earthquake Engineering Research Center of Hebei Province, North China University of Science and Technology, Tangshan, Hebei 063210, China; 3. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China

Received:2023-06-12 Accepted:2023-08-25 Online:2023-10-13 Published:2023-10-16
Supported by:
This work was supported by the National Natural Science Foundation of China (52078033), the Natural Science Foundation of Hebei Province of China (E2020209072), the Applied Basic Research Project of Tangshan Science and Technology Bureau (22130211H) and the Basic Scientific Research Business Expenses Research Projects of Colleges and Universities in Hebei Province (JQN2023018).

摘要/Abstract

摘要： 基于理想流体波动理论和Biot饱和多孔介质波动理论，考虑工程实际中海底隧道与周围海底土体的滑移接触关系，建立了含滑移界面海底隧道模型，该模型还考虑了海水−海床土−海底隧道的动力相互作用。采用Hankel函数积分变换法和波函数展开法，推导了平面P₁波入射下海底隧道与周围海底土体滑移接触界面效应的解析解。在解析解的基础上，通过数值计算分析了滑移接触条件对海底隧道地震动力响应的影响。计算结果表明：滑移接触条件对海底隧道的位移响应和应力响应影响明显；考虑隧道−海床土界面滑移接触条件下海底隧道的位移响应和应力响应显著高于界面无滑移条件时的位移响应和应力响应。

关键词: 海底隧道, 滑移接触, 解析解, 散射问题, 地震响应

Abstract: Based on the ideal fluid wave theory and Biot’s theory, an undersea tunnel model with imperfect interface is established by considering the imperfect contact relationship between the undersea tunnel and the surrounding seabed soil in engineering reality. The model also considers the dynamic interaction of seawater-seabed soil-undersea tunnel. The analytical solution of the imperfect contact interface effect between the undersea tunnel and the surrounding seabed soil under P₁ waves incidence is derived using the Hankel function integral transformation method and the wave function expansion method. Based on the analytical solution, the effects of imperfect contact conditions on the seismic dynamic response of the undersea tunnel are analyzed by numerical calculations. The calculation results show that the imperfect contact condition has a significant effect on the displacement response and stress response of the undersea tunnel; the displacement response and stress response of the undersea tunnel considering the imperfect contact condition at the tunnel-seabed soil interface are significantly higher than those at the interface with perfect conditions.

Key words: undersea tunnel, imperfect contact, analytical solution, scattering problem, seismic response

中图分类号: U459.5

朱赛男, 陈艳华, 王宁, 李伟华, 张为为. 平面P₁波入射下海底隧道与海床土交界面滑移接触效应解析解[J]. 岩土力学, 2023, 44(10): 3049-3058.

ZHU Sai-nan, CHEN Yan-hua, WANG Ning, LI Wei-hua, ZHANG Wei-wei. Analytical solution of imperfect contact effect at the interface between undersea tunnel and seabed soil under plane P₁ waves incidence[J]. Rock and Soil Mechanics, 2023, 44(10): 3049-3058.

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平面P₁波入射下海底隧道与海床土交界面滑移接触效应解析解

Analytical solution of imperfect contact effect at the interface between undersea tunnel and seabed soil under plane P₁ waves incidence

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