Dynamic Response of Bridge-Ship Collision Considering Pile-Soil Interaction

Hussein Yousif Aziz, HE Yun Yong, Baydaa Hussain Mauls


According to most countries’ norms, and to find the effect of the bridge collision the equivalent static method was designed for bridge-ship collision, ignoring the dynamic effects of shocks. It is sharply different from actual situation. So based on the theory of Winkler foundation, shearing strain theory of Timoshenko and potential energy variation functional principle of Hamilton, the simulation models of bridge piers was built considering the pile–soil interaction. Lateral transient vibration equation of bridge piers was concluded. Based on the theory of integral transform, the differential equation of the collision system and the boundary conditions were transformed with Laplace transformation; the analytical solution of the stress wave in frequency domain was concluded. And then the inversion of solution in frequency domain was carried out using Matlab based on the Crump inverse transformation. Finally the dynamic response law of displacement, normal stress and the shear stress of bridge piers were obtained.


Pile-Soil Interaction; Bridge Piers; Collide; Crump Inverse Transformation; Dynamics Response.


Woisin G. Design against Collision[J].Schiff & Hafen, 1979, 31(2):1059-1069.

Pedersen, P. Terndrup, S. Valsgaard, D. Olsen, and S. Spangenberg. "Ship impacts: bow collisions." International Journal of Impact Engineering 13, no. 2 (1993): 163-187.

Zhi-Qiang, Hu, Gu Yong-Ning, Gao Zhen, and Li Ya-Ning. "Fast evaluation of ship-bridge collision force based on nonlinear numerical simulation." Journal of Marine Science and Application 4, no. 1 (2005): 8-14.

PENG Kai, XIAO Sheng-xie. Suppositions on Simulation Models of Bridge Substructure in Collision with Other Objects[J]. Journal of Chongqing Jiaotong Institute, 1999, 18(4):138-141.

Xiao, S., K. Peng, and N. Cai. "Lagrange Equation for solving the flexible ship-bridge multi-body systems collision dynamics." Journal of Chongqing JiaoTong University 20 (2001): z1-7.

ZHANG Yu-xin, LIAO Chen-feng. Study on Ship-bridge Collision and Processing Method Discussion [J]. Journal of Guangxi University (Natural Science Edition), 2008, 33(Supper):8-10.

Zhang, Weiwei, Xianlong Jin, and Jianwei Wang. "Numerical analysis of ship–bridge collision's influences on the running safety of moving rail train." Ships and Offshore Structures 9, no. 5 (2014): 498-513.

Zhang, Jingfeng, Xinzhong Chen, Dejun Liu, and Xiaozhen Li. "Analysis of bridge response to barge collision: Refined impact force models and some new insights." Advances in Structural Engineering 19, no. 8 (2016): 1224-1244.

BAO Si-yuan, DENG Zi-chen, FANCun-xin. Analytical Solution to Impact Between a Particle and an Euler-Bernoulli Beam at Arbitrary Position on the Beam [J]. Journal of Vibration and Shock,2008, 27(1):163-166.

LIU Dong-jia, WANG Jian-guo. Transient Lateral Response of a Finite Pile in Homogeneous Soil[J]. Engineering Mechanics,2003, 20(6):161-165.

WANG Hong-zhi, CHEN Yun-min, CHEN Ren-peng.Semi-Analytical Solution for Vibration of Pile with Variable Section in Layered Soil[J]. Journal ofVibration and Shock,2001,20(1):55-58.

A.C.WM. Vrouwenvelder. Design for Ship Impact According to EurocodeI,part 2.7[S], Ship Collision Analysis. A.A. Balkema, Rotterdam, 1998:123-131.

HUANG Zhi-bin, LUO Qi-zhi. Solution of Axially-Loaded Beams with Linearly Elastic Impact[J]. Journal ofVibration and Shock,2008,6(4):343-347.

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DOI: 10.28991/cej-030929


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