Equivalent bending stiffness of a hexagonal flexible crashworthy device for bridge piers

Wang Shuo; Yang Liming

doi:10.11883/1001-1455(2017)03-0387-09

Volume 37 Issue 3

Apr. 2017

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Explosion And Shock Waves > 2017 > 37(3): 387-395

Zhou Xi-Hua, Meng Le, Shi Mei-jing, Guo Liang-hui, Zhao Jian-yuan, Feng Cun-cun. Influences of sealing fire zone in high gas mine on impact factors of gas explosion limits[J]. Explosion And Shock Waves, 2013, 33(4): 351-356. doi: 10.11883/1001-1455(2013)04-0351-06

Citation:

Wang Shuo, Yang Liming. Equivalent bending stiffness of a hexagonal flexible crashworthy device for bridge piers[J]. Explosion And Shock Waves, 2017, 37(3): 387-395. doi: 10.11883/1001-1455(2017)03-0387-09

Citation:

PDF( 3066 KB)

Equivalent bending stiffness of a hexagonal flexible crashworthy device for bridge piers

doi: 10.11883/1001-1455(2017)03-0387-09

Wang Shuo,
Yang Liming^,

Department of Mechanics, Ningbo University, Ningbo 351211, Zhejiang, China

Received Date: 2017-01-19
Rev Recd Date: 2017-03-10
Publish Date: 2017-05-25

Abstract

Abstract

An analytical model is established to study the flexible crashworthy device which is developed independently in China. The model is composed of a distributed springs linking and supporting two hexagonal-shape box-beam structures that encircle the bridge pier. The governing equation together with adequate boundary conditions and initial conditions is deduced for the outer beam under dynamic impact loading. This governing equation is solved by the method of Laplace transform and the numerical inverse Laplace transform to get the dynamic response of the outer beam. The influence of the equivalent bending stiffness on the dynamic response of the outer beam is analyzed, and the critical equivalent bending stiffness is obtained. When the equivalent bending stiffness of the outer beam is more than the critical value, the beam can be considered as a rigid one under impact load.
- flexible crashworthy device,
- impact load,
- Laplace transform,
- equivalent bending stiffness,
- dynamic response

FullText(HTML)

References(20)

References

[1]	Larry D, Olson P E. Dynamic bridge substructure evaluation and monitoring: FHWA-RD-03-09[R]. 2005.
[2]	Whitney M W, Harik I E, Griffin J J, et al. Barge collision design of highway bridges[J]. Journal of Bridge Engineering, 1996, 1(2):47-58. doi: 10.1061/(ASCE)1084-0702(1996)1:2(47)
[3]	Consolazio G, Davidson M T, Cowan D R. Barge bow force-deformation relationships for barge-bridge collision analysis[J]. Journal of the Transportation Research Board, 2009(2131):3-14.
[4]	Park W, Lim J H, Koh H M. Vessel collision design method for long-span bridges[C]//IABSE Symposium Report. International Association for Bridge and Structural Engineering, 2013, 101(13): 1-7.
[5]	项海帆, 范立础, 王君杰.船撞桥设计理论的现状与需进一步研究的问题[J].同济大学学报(自然科学版), 2002, 30(4):386-392. doi: 10.3321/j.issn:0253-374X.2002.04.002 Xiang Haifan, Fan Lichu, Wang Junjie. State of art of ship collision design for bridges and future research[J]. Journal of Tongji University (Natural Science), 2002, 30(4):386-392. doi: 10.3321/j.issn:0253-374X.2002.04.002
[6]	王礼立, 杨黎明, 周风华.强动载荷下结构的柔性防护和刚性防护[J].爆炸与冲击, 2009, 29(4):337-344. doi: 10.3321/j.issn:1001-1455.2009.04.001 Wang Lili, Yang Liming, Zhou Fenghua. On flexible protection and stiff protection for structure safety under explosive/impact loading[J]. Explosion and Shock Waves, 2009, 29(4):337-344. doi: 10.3321/j.issn:1001-1455.2009.04.001
[7]	耿波.桥梁船撞安全评估[D].上海: 同济大学, 2007: 52-53. http://cdmd.cnki.com.cn/Article/CDMD-10247-2007223048.htm Geng Bo. Safety assessment of bridges due to vessels impact[D]. Shanghai: Tongji University, 2007: 52-53. http://cdmd.cnki.com.cn/Article/CDMD-10247-2007223048.htm
[8]	American Association of State Highway and Transportation Officials. Guide specifications and commentary for vessel collision design of highway bridges[M]. 2ed. Washington, DC: American Association of State Highway and Transportation Officials, 2009:1-2.
[9]	张海明, 曹映泓, 段乃民, 等.湛江海湾大桥主墩防撞设施结构设计[J].中外公路, 2006(5):82-84. doi: 10.3969/j.issn.1671-2579.2006.05.027
[10]	Patsch A, Gerbaudo C F, Prato C A. Analysis and testing of piles for ship impact defenses[J]. Journal of Bridge Engineering, 2002, 7(4):236-244. doi: 10.1061/(ASCE)1084-0702(2002)7:4(236)
[11]	Svensson H. Protection of bridge piers against ship collision[J]. Steel Construction, 2009, 2(1):21-32. doi: 10.1002/stco.v2:1
[12]	Wang Lili, Yang Liming, Huang Dejin, et al. An impact dynamics analysis on a new crashworthy device against ship-bridge collision[J]. International Journal of Impact Engineering, 2008, 35(8):895-904. doi: 10.1016/j.ijimpeng.2007.12.005
[13]	Consolazio G R, Cowan D R. Nonlinear analysis of barge crush behavior and its relationship to impact resistant bridge design[J]. Computers and Structures, 2003, 81(8):547-557. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=ddb71c115cced730185ee4bfdaacea45
[14]	Liu Jiancheng, Gu Yongning. Simulation of ship-bridge head-on collision based on finite element model of whole ship-bridge[J]. Engineering Mechanics, 2003, 20(5):155-162. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gclx200305030
[15]	潘晋, 吴卫国, 王德禹, 等.船-桥墩防护装置碰撞的有限元仿真[J].武汉理工大学学报(交通科学与工程版), 2005, 29(2):178-181. doi: 10.3963/j.issn.2095-3844.2005.02.005 Pan Jin, Wu Weiguo, Wang Deyu, et al. Finite element simulation to the collision between ship and anti-collision equipment[J]. Journal of Wuhan University of Technology (Transportation Science and Engineering), 2005, 29(2):178-181. doi: 10.3963/j.issn.2095-3844.2005.02.005
[16]	Gary R C, David R C. Numerically efficient dynamic analysis of barge collisions with bridge piers[J].Journal of Structural Engineering, 2005, 131(8):1256-1266. doi: 10.1061/(ASCE)0733-9445(2005)131:8(1256)
[17]	杨峰, 杨黎明.桥墩柔性防撞装置的静力学模型研究[J].固体力学学报, 2011, 32(S1):399-405. http://d.old.wanfangdata.com.cn/Conference/7589584 Yang Feng, Yang Liming. Research on the statics model of the crashworthy device for tje bridge pile[J]. Chinese Journal of Solid Mechanics, 2011, 32(S1):399-405. http://d.old.wanfangdata.com.cn/Conference/7589584
[18]	王礼立.爆炸与冲击载荷下结构和材料动态响应研究的新进展[J].爆炸与冲击, 2001, 21(2):81-88. doi: 10.3321/j.issn:1001-1455.2001.02.001 Wang Lili. Progress in studies on dynamic response of structures and materials under explosive/impact loading[J]. Explosion and Shock Waves, 2001, 21(2):81-88. doi: 10.3321/j.issn:1001-1455.2001.02.001
[19]	范钦珊, 殷雅俊, 唐靖林.材料力学[M].3版.北京:清华大学出版社, 2014:152-153.
[20]	Montella C, Diard J P. New approach of electrochemical systems dynamics in the time-domain under small-signal conditions: Ⅰ: A family of algorithms based on numerical inversion of Laplace transforms[J]. Journal of Electroanalytical Chemistry, 2008, 623(1):29-40. doi: 10.1016/j.jelechem.2008.06.015

Relative Articles

[1]	YAO Xiongliang, ZHOU Yanpei, WANG Zhi, WEI Qingyuan. Critical condition for tensile tearing failure of unidirectional stiffened plate under strong impact load[J]. Explosion And Shock Waves, 2024, 44(2): 023104. doi: 10.11883/bzycj-2023-0182
[2]	ZHANG Yuanrui, ZHU Yudong, WANG Kehong, ZHOU Qi, YU Jilin, ZHENG Zhijun. Dynamic response analysis of cellular projectile impacting foam sandwich beam[J]. Explosion And Shock Waves, 2024, 44(9): 091442. doi: 10.11883/bzycj-2024-0045
[3]	PING Kai, WANG Qiongyao, QI Wenchao, CHEN Xiner. Response analysis of liquid sloshing in a tank with rigid baffles[J]. Explosion And Shock Waves, 2024, 44(6): 065103. doi: 10.11883/bzycj-2023-0250
[4]	SI Doudou, PAN Zuanfeng, ZENG Bin, ZHANG Haipeng, GAO Yukui. Analysis of the dynamic response of prestressed concrete frame structures under blast load[J]. Explosion And Shock Waves, 2023, 43(11): 112201. doi: 10.11883/bzycj-2023-0080
[5]	Wang Jun, Yao Xiong-liang, Guo Jun. Response analysis of shipboard equipment under test on floating shock platform[J]. Explosion And Shock Waves, 2015, 35(6): 832-838. doi: 10.11883/1001-1455(2015)06-0832-07
[6]	QIN Jian, ZHANG Zhen-hua. Ascalingmethodforpredictingdynamicresponsesofstiffenedplates madeofmaterialsdifferentfromexperimentalmodels[J]. Explosion And Shock Waves, 2010, 30(5): 511-516. doi: 10.11883/1001-1455(2010)05-0511-06
[7]	LIU Jun, LI Yu-long, XU Fei. Dynamic response analysis of bird-impact aircraft windshields based on PAM-CRASH[J]. Explosion And Shock Waves, 2009, 29(1): 80-84. doi: 10.11883/1001-1455(2009)01-0080-05
[8]	HOU Hai-liang, ZHU Xi, GU Mei-bang. Study on failure mode of stiffened plate and optimized design of structure subjected to blast load[J]. Explosion And Shock Waves, 2007, 27(1): 26-33. doi: 10.11883/1001-1455(2007)01-0026-08
[9]	DU Xiu-li, LIAO Wei-zhang, TIAN Zhi-min, LI Liang. Dynamic response analysis of underground structures under explosion-induced loads[J]. Explosion And Shock Waves, 2006, 26(5): 474-480. doi: 10.11883/1001-1455(2006)05-0474-07
[10]	TIAN Jin-bang, ZHAO Long-mao, ZHENG Jin-yang. Analysis on the rigid-plastic dynamic response of two-walled pressure vessels with flat-wound steel ribbons[J]. Explosion And Shock Waves, 2006, 26(1): 59-64. doi: 10.11883/1001-1455(2006)01-0059-06
[11]	RAO Wei-feng, WEN He-ming. Response of a transmission shaft impacted by joggled gear in the gear transmission system[J]. Explosion And Shock Waves, 2005, 25(2): 163-170. doi: 10.11883/1001-1455(2005)02-0163-08

Supplements(0)

Cited By

Cited by

Periodical cited type(12)

1.	王培龙，江丙友，苏明清，王保，杨炳辉，洪汉. 氮气浓度对扰动条件下甲烷爆炸特性的影响. 安全与环境工程. 2023(03): 61-68 .
2.	汪腾蛟，周西华，白刚，李诚玉，杨小彬. 煤矿火灾诱发瓦斯爆炸危险性预测. 煤炭学报. 2020(12): 4104-4110 .
3.	周冬，刘贞堂，钱继发，林松，刘冠华. 采空区内煤自燃气体特征及产生规律分析. 工矿自动化. 2019(03): 18-22+28 .
4.	毕海普，谢小龙，邵辉，柯方正，项君益. 外浮顶罐油气混合区域风险分析. 安全与环境学报. 2019(02): 488-493 .
5.	罗振敏，王涛，文虎，张江，程方明，赵婧昱，王秋红，王亚超，刘长春. CO对CH_4爆炸及自由基发射光谱特性的影响. 煤炭学报. 2019(07): 2167-2177 .
6.	白刚，周西华，宋东平. 温度与CO气体耦合作用对瓦斯爆炸界限影响实验. 高压物理学报. 2019(04): 189-196 .
7.	梁国栋. 2种气体状态下瓦斯爆炸极限范围的研究. 现代矿业. 2019(09): 211-213 .
8.	余洪汇. 基于矿井瓦斯爆炸伤害因素的煤矿瓦斯事故应急管理. 能源与环保. 2017(02): 173-178 .
9.	翟小伟，来兴平. 瓦斯矿井工作面火区封闭后爆炸危险性快速预测方法. 煤炭学报. 2016(09): 2251-2255 .
10.	程方明，邓军. 一氧化碳影响二氧化碳惰化甲烷爆炸的实验研究. 西安科技大学学报. 2016(03): 315-319 .
11.	周西华，白刚，孙宝铁，宋东平，李诚玉. 煤矿水平巷道火区瓦斯爆炸易爆区域判定研究. 中国安全科学学报. 2015(09): 78-84 .
12.	周西华，李诚玉，张丽丽，宋东平，门金龙. 封闭过程中火区气体运移规律的数值模拟. 中国地质灾害与防治学报. 2015(02): 116-122 .