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《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

卷:

36卷

期数:

2019年03期

页码:

110-116

栏目:

出版日期:

2019-05-22

文章信息/Info

Title:

Wave Response of Shallow Buried Tunnel Under Partially Concentrated Pulse Load

文章编号:

1673-2049(2019)03-0110-07

作者:

彭跃辉¹,陶 彪²,刘鑫磊²,耿大新²,王 宁²

(1. 南昌铁路勘测设计院有限责任公司,江西 南昌 330002; 2. 华东交通大学 土木建筑学院,江西 南昌 330013)

Author(s):

PENG Yue-hui¹, TAO Biao², LIU Xin-lei², GENG Da-xin², WANG Ning²

(1. Nanchang Railway Survey and Design Institute Co., Ltd., Nanchang 330002, Jiangxi, China; 2. School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, Jiangxi, China)

关键词:

浅埋隧道;  局部集中荷载;  Laplace变换;  Graf坐标转换;  波动响应

Keywords:

shallow buried tunnel;  local concentrated load;  Laplace transformation;  Graf coordinate transformation;  wave response

分类号:

TU312

DOI:

-

文献标志码:

A

摘要:

基于Hamilton理论-弹性波动理论,采用解析法研究了局部集中瞬态脉冲荷载下半空间隧道的动力响应。衬砌采用Hamilton壳体理论模拟,土体采用弹性介质动力学理论模拟,通过波函数展开法、Graf坐标转换法和Laplace变换法及其数值逆变换,求解了半空间中隧道瞬态集中荷载响应的半解析解。通过MATLAB数值计算,分析了隧道不同位置衬砌刚度、土体波速、衬砌环向角度的波动特性。结果表明:隧道环向各位置处位移与应力幅值随埋深增加而减小,环向应力和径向位移曲线波动趋势相似,在各角度上的响应幅值各不相同,由于地表存在,隧道顶部响应大于其他各位置; 衬砌外表面的位移与应力随土体波数增加而减小,同时隧道位置的改变对土体波数变化影响较大,以隧道顶部响应最为显著; 当衬砌刚度增大时,其环向各位置响应衰减幅度不同,其中隧道底部位置处的幅值衰减最大。

Abstract:

Based on Hamilton's theory and elastic wave theory, the dynamic response of a half-space tunnel subjected to locally concentrated transient impulse loads was studied by analytic method. Lining was simulated by Hamilton thin-shell theory and soil was simulated by elastic medium dynamics theory. Semi-analytical solution of transient concentrated load problem of circular lining in half space was solved by wave function expansion method, Graf coordinate transformation method and Laplace transformation method and their numerical inverse transformation. Through MATLAB calculation, the dynamic response characteristics of lining stiffness, soil wave velocity and lining circumferential angle at different locations of tunnel were analyzed. The results show that the amplitude of tunnel response decreases with the increase of burial depth. The response amplitude varies from angle to angle, and the response of top of tunnel is larger than that of other locations. The displacement and stress of outer surface of lining decreases with the increase of wave number of soil. When the lining stiffness increases, the attenuation range of the response is different in the circumferential position, and the attenuation of the amplitude at the bottom of the tunnel is the largest.

参考文献/References:

[1] SENJUNTICHAI T,RAJAPAKSE R K N D.Transient Response of a Circular Cavity in a Poroelastic Medium[J].International Journal for Numerical and Analytical Methods in Geomechanics,1993,17(6):357-383.
[2]BIOT M A.Theory of Propagation of Elastic Waves in a Fluid-saturated Porous Solid.I.Low-frequency Range[J].The Journal of the Acoustical Society of America,1956,28(2):168-178.
[3]徐长节,马晓华.粘弹性准饱和土中球空腔的动力响应[J].岩土力学,2005,26(8):1189-1194.
XU Chang-jie,MA Xiao-hua.Dynamic Response of Spherical Cavity in Nearly Saturated Viscoelastic Soils[J].Rock and Soil Mechanics,2005,26(8):1189-1194.
[4]ZAKOUT U,AKKAS N.Transient Response of a Cylindrical Cavity with and Without a Bonded Shell in an Infinite Elastic Medium[J].International Journal of Engineering Science,1997,35(12/13):1203-1220.
[5]高广运,高 盟,冯世进.无限弹性介质中隧道内爆炸动力响应的解析解[J].地震工程学报,2008,30(2):124-127,144.
GAO Guang-yun,GAO Meng,FENG Shi-jin.Analytical Solution for the Dynamic Response of Tunnel to an Internal Explosion in Infinite Elastic Medium[J].China Earthquake Engineering Journal,2008,30(2):124-127,144.
[6]张庆元,战人瑞.爆轰载荷作用下球形空腔的动力响应[J].爆炸与冲击,1994,14(2):182-185.
ZHANG Qing-yuan,ZHAN Ren-rui.The Dynamic Response of Spherical Hollow Chamber Under Explosive Loading[J].Explosion and Shock Waves,1994,14(2):182-185.
[7]高 盟,高广运,王 滢,等.内部荷载作用下圆柱形孔洞的动力响应解答[J].力学季刊,2009,30(2):266-272.
GAO Meng,GAO Guang-yun,WANG Ying,et al.A Solution on Dynamic Response of a Cylindrical Cavity Under Internal Load[J].Chinese Quarterly of Mechanics,2009,30(2):266-272.
[8]GAO M,WANG Y,GAO G Y,et al.An Analytical Solution for the Transient Response of a Cylindrical Lined Cavity in a Poroelastic Medium[J].Soil Dynamics and Earthquake Engineering,2013,46:30-40.
[9]蔡袁强,陈成振,孙宏磊.爆炸荷载作用下饱和土中隧道的瞬态动力响应[J].岩土工程学报,2011,33(3):361-367.
CAI Yuan-qiang,CHEN Cheng-zhen,SUN Hong-lei.Transient Dynamic Response of Tunnels Subjected to Blast Loads in Saturated Soil[J].Chinese Journal of Geotechnical Engineering,2011,33(3):361-367.
[10]蔡袁强,陈成振,孙宏磊.黏弹性饱和土中隧道在爆炸荷载作用下的动力响应[J].浙江大学学报:工学版,2011,45(9):1657-1663.
CAI Yuan-qiang,CHEN Cheng-zhen,SUN Hong-lei.Dynamic Response of Tunnel in Viscoelastic Saturated Soil Subjected to Blast Loads[J].Journal of Zhejiang University:Engineering Science,2011,45(9):1657-1663.
[11]XU H,LI T B,LI L Q.Research on Dynamic Response of Underground Circular Lining Tunnel Under the Action of P Waves[J].Applied Mechanics and Materials,2011,99-100:181-189.
[12]XU H,LI T B,XU J S,et al.Dynamic Response of Underground Circular Lining Tunnels Subjected to Incident P Waves[J].Mathematical Problems in Engineering,2014,2014:297424.
[13]LI Y S,LI T B,ZHANG X.Response of Shallow-buried Circular Lining Tunnel to Incident P Wave[J].Applied Mechanics and Materials,2012,160:331-336.
[14]LIU Q J,ZHAO M J,WANG L H.Scattering of Plane P,SV or Rayleigh Waves by a Shallow Lined Tunnel in an Elastic Half Space[J].Soil Dynamics and Earthquake Engineering,2013,49:52-63.
[15]LIU Z X,JU X,WU C Q,et al.Scattering of Plane P₁ Waves and Dynamic Stress Concentration by a Lined Tunnel in a Fluid-saturated Poroelastic Half-space[J].Tunnelling and Underground Space Technology,2017,67:71-84.
[16]COSKUN I,ENGIN H,OZMUTLU A.Dynamic Stress and Displacement in an Elastic Half-space with a Cylindrical Cavity[J].Shock and Vibration,2011,18(6):827-838.
[17]LEE V W,CAO H.Diffraction of SV Waves by Circular Canyons of Various Depths[J].Journal of Engineering Mechanics,1989,115(9):2035-2056.
[18]DURBIN F.Numerical Inversion of Laplace Transforms:An Efficient Improvement to Dubner and Abate's Method[J].The Computer Journal,1974,17(4):371-376.

相似文献/References:

备注/Memo

备注/Memo:

收稿日期:2019-03-10
基金项目:江西省交通运输厅科技项目(2016D0039,2017D0035); 江西省教育厅科技项目(GJJ170363)
作者简介:彭跃辉(1965-),男,江西南昌人,高级工程师,E-mail:185189208@qq.com。
通信作者:陶 彪(1993-),男,江西南昌人,工学硕士研究生,E-mail:593407847@qq.com。

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更新日期/Last Update: 2019-05-23