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

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

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:

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