Response Parameter Analysis of Submerged Floating Tunnels Under Underwater Shock

LUO Gang; ZHANG Yulong; PAN Shaokang; JIA Hanghang; LIU Chang

doi:10.21656/1000-0887.400249

Volume 41 Issue 5

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 2020 > 41(5): 467-479

LUO Gang, ZHANG Yulong, PAN Shaokang, JIA Hanghang, LIU Chang. Response Parameter Analysis of Submerged Floating Tunnels Under Underwater Shock[J]. Applied Mathematics and Mechanics, 2020, 41(5): 467-479. doi: 10.21656/1000-0887.400249

Citation:

PDF( 3172 KB)

Response Parameter Analysis of Submerged Floating Tunnels Under Underwater Shock

doi: 10.21656/1000-0887.400249

School of Highway, Chang’an University, Xi’an 710064, P.R.China

Funds: The National Natural Science Foundation of China（51708042）

Received Date: 2019-08-26
Rev Recd Date: 2020-04-09
Publish Date: 2020-05-01

Abstract

Abstract

To investigate the dynamic responses of submerged floating tunnels (SFTs) subjected to near-field non-contact explosions, the SFT was simplified as a constant-section-and-stiffness Bernoulli-Euler elastic-support beam to establish the SFT dynamic model under underwater shock load. The differential equation for the vibration was resolved with the Galerkin method. The displacement, velocity and acceleration were analyzed for the SFT, the influences of the explosive quantity, the blasting distance and the vertical stiffness of anchor cables were discussed, and the results were also used to analyze the damage of tunnels and human bodies. The results show that, the impact of the blasting distance on the kinematic parameters of the SFT is significant. Moreover, the maximum displacement of the tunnel decreases in inverse proportion to the blasting distance. Compared with those of the blasting distance of 10 m, the displacements of the tunnel body of 20m and 30 m decrease by 50.7% and 66.6%, respectively. The impact of the explosive quantity on the kinematic parameters of the SFT is significant. Also, the maximum displacement of the tunnel decreases approximately in a low-order power function with the explosive quantity. Compared with those of the explosive of 20 kg, the displacements of the tunnel body of 40 kg and 60 kg increase by 29.8% and 51.3%, respectively. The impact of the vertical stiffness of anchor cables on the kinematic parameters of the SFT is significant. Besides, the maximum displacement of the tunnel decreases approximately in a step-like form with the vertical stiffness of anchor cables. Compared with those of the vertical anchor stiffness of 5×105 N/m, the maximum displacement of the tunnel body of 5×10⁶ N/m and 5×10⁷ N/m decrease by 53.0% and 86.2%, respectively. However, there is an efficiently acting interval for the anchor cable stiffness. The stiffness has significant influence on the displacement of the tunnel body within the interval, but has little influence outside the interval (large or small).
- LUO Gang,
- ZHANG Yulong,
- PAN Shaokang,
- JIA Hanghang,
- LIU Chang,

FullText(HTML)

References(27)

References

[1]	项贻强, 陈政阳, 杨赢. 悬浮隧道动力响应分析方法及模拟的研究进展[J]. 中国公路学报, 2017,30(1): 69-76.(XIANG Yiqiang, CHEN Zhengyang, YANG Ying. Research development of method and simulation for analyzing dynamic response of submerged floating tunnel[J]. China Journal of Highway and Transport,2017,30(1): 69-76.(in Chinese))
[2]	DONNA A.Chapter 10 submerged floating tunnels—a concept whose time has arrived[J]. Tunnelling and Underground Space Technology,1997,12(2): 317-336.
[3]	HIROSHI K. Evaluation of wave force acting on submerged floating tunnels[J]. Procedia Engineering,2010,4: 99-105.
[4]	麦继婷, 杨显成, 关宝树. 悬浮隧道在波浪作用下的动力响应分析[J]. 铁道工程学报, 2007,24(3): 45-49.(MAI Jiting, YANG Xiancheng, GUAN Baoshu. Dynamic response analysis of the submerged floating tunnel subjected to wave[J]. Journal of Railway Engineering Society,2007,24(3): 45-49.(in Chinese))
[5]	REMSETH S, LEIRA B J, OKSTAD K M, et al. Dynamic response and fluid/structure interaction of submerged floating tunnels[J]. Computers & Structures,1999,72(4): 659-685.
[6]	MARTINELLI L, BARBELLA G, FERIANI A. A numerical procedure for simulating the multi-support seismic response of submerged floating tunnels anchored by cables[J]. Engineering Structures,2011,33(10): 2850-2860.
[7]	FOGAZZI P, PEROTTI F. The dynamic response of seabed anchored floating tunnels under seismic excitation[J]. Earthquake Engineering & Structural Dynamics,2015,29(3): 273-295.
[8]	CHEN W, HUANG G. Seismic wave passage effect on dynamic response of submerged floating tunnels[J]. Procedia Engineering,2010,4(1): 217-224.
[9]	葛斐, 董满生, 惠磊, 等. 水中悬浮隧道锚索在波流场中的涡激动力响应[J]. 工程力学, 2006,23(S1): 217-221.(GE Fei, DONG Mansheng, HUI Lei, et al. Vortex-induced vibration of submerged floating tunnel tethers under wave and current effects[J]. Engineering Mechanics,2006,23(S1): 217-221.(in Chinese))
[10]	项贻强, 晁春峰. 悬浮隧道管体及锚索耦合作用的涡激动力响应[J]. 浙江大学学报(工学版), 2012,46(3): 409-415.(XIANG Yiqiang, CHAO Chunfeng. Vortex-induced dynamic response for combined action of tube and cable of submerged floating tunnel[J]. Journal of Zhejiang University(Engineering Science),2012,46(3): 409-415.(in Chinese))
[11]	LUO G, PAN S K, ZHANG Y L, et al. Response analysis of submerged floating tunnel hit by submarine based on smoothed-particle hydrodynamics[J]. Shock and Vibration,2019,6: 1-12.
[12]	王刚, 陈铁云. 圆柱壳在水下径向爆炸载荷下的弹塑性动力响应[J]. 上海交通大学学报, 1997,31(11): 106-111.(WANG Gang, CHEN Tieyun. Elastoplastic dynamic response of a cylindrical shell to underwater radial explosive loading[J]. Journal of Shanghai Jiaotong University,1997,31(11): 106-111.(in Chinese))
[13]	罗刚, 潘少康, 周晓军, 等. 水下非接触爆炸冲击作用下悬浮隧道动力响应[J]. 中国公路学报, 2018,31(6): 244-253.(LUO Gang, PAN Shaokang, ZHOU Xiaojun, et al. Dynamic response of a submerged floating tunnel during non-contact underwater explosions[J]. China Journal of Highway and Transport,2018,31(6): 244-253.(in Chinese))
[14]	HONG K Y, LEE G H. Collision analysis of submerged floating tunnel by underwater navigating vessel[J]. IABSE Symposium Report,2014,〖STHZ〗 27(5): 369-377.
[15]	孔超群. 圣维南原理研究工作综述[J]. 力学季刊, 1990,11(3): 35-40.(KONG Chaoqun. Research summary of Saint-Venant’s principle[J]. Chinese Quarterly of Mechanics,1990,11(3): 35-40.(in Chinese))
[16]	SATO M, KANIE S, MIKAMI T. Mathematical analogy of a beam on elastic supports as a beam on elastic foundation[J]. Applied Mathematical Modelling,2008,〖STHZ〗 32(5): 688-699.
[17]	王振宇. 水下爆炸作用下结构的动态响应分析[D]. 博士学位论文. 哈尔滨: 哈尔滨工程大学, 2008.(WANG Zhenyu. Dynamic response analysis of structure under underwater explosion[D]. PhD Thesis. Harbin: Harbin Engineering University, 2008.(in Chinese))
[18]	刘福林. 简支弹塑性梁受冲击波作用时的动力响应的权余解法[J]. 机械强度, 1989,11(1): 48-52.(LIU Fulin. The residual weight method for dynamic response of elastic support beam subjected to shock wave[J]. Mechanical Strength,1989,11(1): 48-52.(in Chinese))
[19]	张嫄, 董满生, 唐飞. 冲击荷载作用下水中悬浮隧道的位移响应[J]. 应用数学和力学, 2016,37(5): 483-491.(ZHANG Yuan, DONG Mansheng, TANG Fei. Displacement responses of submerged floating tunnels under impact loads[J]. Applied Mathematics and Mechanics,2016,37(5): 483-491.(in Chinese))
[20]	FACCHINETTI M L, LANGRE E D, BIOLLEY F. Coupling of structure and wake oscillators in vortex-induced vibrations[J]. Journal of Fluids & Structures,2004,19(2): 123-140.
[21]	SRINIL N, ZANGANEH H. Modelling of coupled cross-flow/in-line vortex-induced vibrations using double Duffing and van der Pol oscillators[J]. Ocean Engineering,2012,53: 83-97．
[22]	陈建云, 王变革, 孙胜男. 悬浮隧道锚索的涡激动力响应分析[J]. 工程力学, 2007,24(10): 186-192.(CHEN Jianyun, WANG Biange, SUN Shengnan. Analysis of vortex-induced dynamic response for the anchor cable of submerged floating tunnel[J]. Engineering Mechanics,2007,24(10): 186-192.(in Chinese))
[23]	董满生, 张嫄, 唐飞, 等. 等间距移动荷载作用下水中悬浮隧道管体的位移响应[J]. 应用力学学报, 2016,〖STHZ〗 33(5): 760-765.(DONG Mansheng, ZHANG Yuan, TANG Fei, et al. Displacement response of submerged floating tunnel tube due to moving loads of constant intervals[J]. Chinese Journal of Applied Mechanics,2016,33(5): 760-765.(in Chinese))
[24]	吴成, 廖莎莎, 李华新, 等. 水下爆炸的一些声学特性分析[J]. 北京理工大学学报, 2008,28(8): 719-722.(WU Cheng, LIAO Shasha, LI Huaxin, et al. Analysis of acoustic characteristics for he charge underwater explosion[J]. Transactions of Beijing Institute of Technology,2008,28(8): 719-722.(in Chinese))
[25]	刘立名, 余建星, 王磊. 基于非线性理论的海底管跨涡激共振可靠性研究[J]. 天津大学学报, 2001,38(1): 31-35.(LIU Liming, YU Jianxing, WANG Lei. Reliability research on vortex induced resonance of submarine pipeline span based on nonlinear theory[J]. Journal of Tianjin University,2001,38(1): 31-35.(in Chinese))
[26]	秦银刚, 周生国, 周晓军. 多跨悬浮隧道合理支撑间距分析[J]. 铁道工程学报, 2008,25(3): 78-81.(QIN Yingang, ZHOU Shengguo, ZHOU Xiaojun. Analysis of the reasonable support length for multi-spans submerged floating tunnel[J]. Journal of Railway Engineering Society,2008,25(3): 78-81.(in Chinese))
[27]	黄建松, 华宏星, 周建鹏. 水下爆炸引起舰船冲击人体损伤生物力学模型研究进展[J]. 医用生物力学, 2008,23(4): 321-326.(HUANG Jiansong, HUA Hongxing, ZHOU Jianpeng. Progress of human mathematical model to study ship shock injury by underwater explosion[J]. Journal of Medical Biomechanics,2008,23(4): 321-326.(in Chinese))

Relative Articles

[1]	TANG Hao, LIU Yunlong, FENG Jituan, JU Xinyang, ZHANG Aman. Eulerian Finite-Element Numerical Simulation Investigation on the Dynamic Characteristics of Out-of-Phase Bubbles in Underwater Explosions[J]. Applied Mathematics and Mechanics, 2023, 44(8): 895-908. doi: 10.21656/1000-0887.440047
[2]	DU Zhipeng, ZHANG Lei, CHEN Yong, HUA Hongxing. Reduced-Scale Experiment Study on the Protective Mechanism of Foam Coating Against Underwater Explosion Bubble Jet[J]. Applied Mathematics and Mechanics, 2022, 43(5): 569-576. doi: 10.21656/1000-0887.420367
[3]	XING Qinyan, YANG Qinghao, LU Chenyu, YANG Xing. An EEP Adaptive Strategy of the Galerkin FEM for Axially Forced Vibration of Bars[J]. Applied Mathematics and Mechanics, 2019, 40(9): 945-956. doi: 10.21656/1000-0887.400051
[4]	DONG Man-sheng, LI Man, LIN Zhi, TANG Fei, JIANG Shu-ping. Dynamic Response of the Submerged Floating Tunnel Under Random Seismic Excitation[J]. Applied Mathematics and Mechanics, 2014, 35(12): 1320-1329. doi: 10.3879/j.issn.1000-0887.2014.12.004
[5]	ZHANG A-man, REN Shao-fei, LI Qing<, LI Jia. 3D Numerical Simulation on the Fluid-Structure Interaction of Structure Subjected to Underwater Explosion With Cavitation[J]. Applied Mathematics and Mechanics, 2012, 33(9): 1115-1128. doi: 10.3879/j.issn.1000-0887.2012.09.008
[6]	JIN Xiao-ling, HUANG Zhi-long, LEUNG Andrew Y T. Nonstationary Probability Densities of System Response of Strongly Nonlinear Single-Degree-of-Freedom System Subject to Modulated White Noise Excitation[J]. Applied Mathematics and Mechanics, 2011, 32(11): 1294-1305. doi: 10.3879/j.issn.1000-0887.2011.11.004
[7]	ZHANG Zhen-hua, WANG Yu, ZHANG Li-jun, YUAN Jian-hong, ZHAO Hai-feng. Similarity Research of Anomalous Dynamic Response of Ship Girder Subjected to Near Field Underwater Explosion[J]. Applied Mathematics and Mechanics, 2011, 32(12): 1391-1404. doi: 10.3879/j.issn.1000-0887.2011.12.001
[8]	YI Zhuang-peng, WANG Lian-hua, ZHAO Yue-yu. Nonlinear Dynamic Behaviors of Viscoelastic Shallow Arches[J]. Applied Mathematics and Mechanics, 2009, 30(6): 719-724. doi: 10.3879/j.issn.1000-0887.2009.06.011
[9]	ZHANG A-man, YAO Xiong-liang. Interaction of Underwater Explosion Bubble With Complex Elastic-Plastic Structure[J]. Applied Mathematics and Mechanics, 2008, 29(1): 81-92.
[10]	LI Ying-hui, GAO Qing, JIAN Kai-lin, YIN Xue-gang. Dynamic Responses of Viscoelatic Axially Moving Belt[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1191-1196.
[11]	DAI Jun, CHEN Jian-jun, LI Yong-gong, ZHAO Zhu-qing, MA Hong-bo. Dynamic Response Optimization Design for Engineering Structures Based on Reliability[J]. Applied Mathematics and Mechanics, 2003, 24(1): 39-46.
[12]	ZHU Zheng-you, LI Gen-guo, CHENG Chang-jun. Quasi-Static and Dynamical Analysis for Viscoelastic Timoshenko Beam With Fractional Derivative Constitutive Relation[J]. Applied Mathematics and Mechanics, 2002, 23(1): 1-10.
[13]	YAN Bo, ZHANG Ru-qing. Penalty Finite Element Method for Nonlinear Dynamic Response of Viscous Fluid-Saturated Biphasic Porous Media[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1247-1254.
[14]	Chen Rongyi, Shen Xiaopu, Shen Pengcheng. Dynamic Response of Elastic RectangularPlates by Spline State Variable Method[J]. Applied Mathematics and Mechanics, 2000, 21(6): 625-632.
[15]	Sun Lu, Deng Xuejun. Dynamic Analysis to Infinite Beam under a Moving Line Load with Uniform Velocity[J]. Applied Mathematics and Mechanics, 1998, 19(4): 341-347.
[16]	Peng Jianshe, Zhang Jingyu, Yang Jie. Formulation of a Semi-Analytical Approach Based on Gurtin Variational Principle for Dynamic Response of General Thin Plates[J]. Applied Mathematics and Mechanics, 1997, 18(11): 987-991.
[17]	Yin Bangxin. Analysis of Dynamic Responce of an impacted Elastic Plate[J]. Applied Mathematics and Mechanics, 1996, 17(7): 639-644.
[18]	Ji Zhen-yi, Yeh Kai-yuan. The General Solution for Dynamic Response of Nonhomogeneous Beam with Variable Cross Section[J]. Applied Mathematics and Mechanics, 1994, 15(5): 381-388.
[19]	Fu Yi-ming, Liu Xiao-hu. Nonlinear Dynamic Response and Dynamic Buckling of Shallow Spherical Shells with Circular Hole[J]. Applied Mathematics and Mechanics, 1992, 13(2): 145-156.
[20]	Yeh Kai-yuan, Tong Xiao-hua, Ji Zhen-yi. General Analytic Solution of Dynamic Response of Beams with Nonhomogeneity and Variable Cross Section[J]. Applied Mathematics and Mechanics, 1992, 13(9): 753-764.

Supplements(0)

Cited By

Cited by

Periodical cited type(5)

1.	罗刚，严荔，李文权，杨云生，张宇航，AHMED MD Elias，刘凤玲. 水下爆炸作用下悬浮隧道结构设计与优化. 中国公路学报. 2025(02): 47-59 .
2.	杜闯，张江鹏，庄铁栓，伍俊，张涛，宋帅. 水中爆炸作用下隧道毁伤效应研究. 兵器装备工程学报. 2024(01): 104-113 .
3.	罗刚，郭正儒，张玉龙，任毅，潘少康. 水下爆炸-波浪联合作用下悬浮隧道响应分析. 振动与冲击. 2022(06): 256-264+288 .
4.	周泰翔，贾军波，邓扬，李爱群. 悬浮隧道结构体系与动力响应研究进展. 工程力学. 2022(04): 15-28+85 .
5.	罗刚，郭正儒，张玉龙，任毅，罗一楠. 水下爆炸冲击波与气泡脉动联合作用下悬浮隧道位移分析. 长安大学学报(自然科学版). 2022(02): 79-90 .