东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2014, Vol. 35 ›› Issue (2): 299-304.DOI: 10.12068/j.issn.1005-3026.2014.02.033

• 资源与土木工程 • 上一篇    

半无限土体圆形隧道结构中地震波的传播

杨旭姣1，胡振东1，梁君2，贾洪瑞3   

  1. (1同济大学 航空航天与力学学院， 上海200092; 2青岛北海船舶重工有限责任公司 船舶与海洋工程设计研究所， 山东 青岛266520；3中铁十七局集团第二工程有限公司， 陕西 西安710043)
  • 收稿日期:2013-05-02 修回日期:2013-05-02 出版日期:2014-02-15 发布日期:2013-11-22
  • 通讯作者: 杨旭姣
  • 作者简介:杨旭姣(1983-)，女，山东烟台人，同济大学博士研究生;胡振东(1965-)，男，黑龙江哈尔滨人，同济大学教授，博士生导师.
  • 基金资助:
    国家自然科学基金资助项目(11090333).

Seismic Wave Propagation Around Circular Tunnel Structure in Semiinfinite Soil Body

YANG Xujiao1， HU Zhendong1， LIANG Jun2， JIA Hongrui3   

  1. 1. School of Aerospace Engineering and Applied Mechanics， Tongji University， Shanghai 200092， China; 2. Marine Design and Research Institute， Qingdao Beihai Shipbuilding Heavy Industry Co.， Ltd.， Qingdao 266520， China; 3. The 2nd Engineering Co， Ltd. of China Railway 17 Bureau Group Corporation， Xi’an 710043， China.
  • Received:2013-05-02 Revised:2013-05-02 Online:2014-02-15 Published:2013-11-22
  • Contact: YANG Xujiao
  • About author:-
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摘要： 基于弹性波的散射理论，研究了半无限土体内圆形隧道中土体对SH波的多重散射和动应力集中，采用波函数展开法和镜像法，将待解问题归结为一组无穷代数方程组的求解，得到了问题的解析解.作为算例，给出了衬砌附近动应力集中因子的数值解，分析了围岩的剪切模量、入射波波数、半无限土体边界到衬砌的距离等参数对动应力集中因子的影响.数值计算分析表明:围岩的剪切模量、入射波波数等是影响动应力集中因子的重要因素.本文的研究方法和数值结果有望为衬砌的地震评价提供理论依据.

关键词: 圆形隧道, SH波散射, 边界条件, 动应力集中因子, 解析解

Abstract: Based on the scattering theory of elastic waves， the scattering of SH wave and the dynamic stress concentration around circular tunnel with lining were investigated by employing the wave function expansion and mirror methods. The analytical solution of the problem， which was taken as a group of unlimited algebraic equations， was derived， and the numerical solution of the dynamic stress concentration factor around the lining was given. The effects of the shear elasticity of the surrounding rock and the lining， together with the wave number on the dynamic stress concentration factors were analyzed. It is shown that the shear elasticity of the surrounding rock and the wave number are factors that influence dynamic stress concentration， which may provide important theoretical basis for the earthquake evaluation of lining.

Key words: circular tunnel, scattering of SH wave, boundary conditions, dynamic stress concentration factor, analytical solution

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