摘要
针对平面SH波作用下浅埋隧洞的动力响应问题,采用复变函数和多极坐标方法,研究了入射波频率、入射角度以及隧洞埋深对隧洞动应力的影响规律。研究结果表明:低频波入射时隧洞埋深对动应力集中系数分布影响不大,但高频波入射时影响较为明显;随着入射波与水平面角度逐渐增大,隧洞动应力集中系数(dynamics stress concentration factor,DSCF)分布越来越复杂,最大值从低频段逐渐转移到高频段;当入射角θ0>0时,最大DSCF略大于3,远大于深埋隧道的2.3;当θ0=0、波数小于0.5且隧洞埋深h>4a(a为半径)时,最大DSCF的谱分布较均匀,此时从最大DSCF的角度可将隧洞近似当成深埋隧洞来分析入射波对隧洞的动力作用。
Aimed at the dynamic response of a shallow tunnel subjected to plane SH waves,the effects of wave frequency,wave number and buried depth on dynamic stress concentration of tunnel were studied based on the function of complex variable and multi-polar coordinate system.The results show that the influence of low frequency wave on the distribution of DSCF is small,but the influence of buried depth is obvious when high frequency waves are incident.With the gradual increase of incident angle,the distribution of DSCF is more and more complex,and the location of the maximum DSCF gradually transfers from the low frequency band to the high frequency band.When the incidence angleθ0>0,the maximum DSCF is slightly greater than 3,which is far greater than 2.3 for a deeply buried tunnel.Whenθ0=0,the wave number less than 0.5 and the buried depth of tunnel h>4a(a is radius),the spectral distribution of maximum DSCF is relatively uniform.At this time,the tunnel can be approximately treated as a deep buried tunnel to analyze the dynamic effect of the incident wave on the tunnel from the angle of maximum DSCF.
作者
路世伟
周传波
刘洪宇
吉凌
LU Shi-wei;ZHOU Chuan-bo;LIU Hong-yu;JI Ling(School of Urban Construction, Yangtze University, Jingzhou 434023, China;Faculty of Engineering, China University of Geosciences, Wuhan 430074, China)
出处
《科学技术与工程》
北大核心
2021年第16期6607-6612,共6页
Science Technology and Engineering
基金
湖北省自然科学基金(2019CFB224)
湖北省教育厅资助项目(Q201913308)
荆州市科技局资助项目(2019Z18001)
国家自然科学基金(41972286)。
关键词
平面SH波
浅埋隧洞
动应力集中系数
波数
plane SH wave
shallow tunnel
dynamic stress concentration factor
wave number
