In this study, six barge finite element models were developed and rigid cylinders were used to simulate the impact process to establish a simplified method considering the impact effect. Then, 252 samples of history curves of the impact force under different velocities and radius-width ratios were obtained by numerical simulations. A modified half-wave sine function was used to simplify the history curves of the impact force. The specific parameters of the model were determined by mathematical statistics. Therefore, the impact load curve can be directly determined based on barge tonnage, impact speed, impact ratio, and other factors. The error analysis indicates good accuracy of the model parameters. Three types of errors of the modified half wave sine load model were identified, and dynamic response analysis was carried out using two bridge models of different structural features. The accuracy of the calculation results of the simplified load model was analyzed and compared with the dynamic response of barge contact collision, which is regarded as the exact solution. The error contributions of the simplified load model were discussed. A comparison of the calculation results of two bridges indicates that the modified half-wave sine load model has good accuracy for the dynamic analysis of both flexible and rigid structures. In conclusion, this modified half-wave sine load model has some significance for practical engineering applications.
Key words
bridge engineering /
barge-bridge collision /
modified half-wave sine function /
barge /
dynamic effect
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References
[1] WOISIN G. The Collision Tests of the GKSS[J]. Jahrbuch Der Schiffbautechnischen Gesellschaft, 1976, 70:465-487.
[2] PATEV R C. Full-scale Barge Impact Experiments[R]. New England:US. Army Engineer Research and Development Center, 2003.
[3] CONSOLAZIO G R, COOK R A, MCVAY M C, et al. Barge Impact Testing of the St. George Island Causeway Bridge, Phase Ⅲ:Physical Testing and Data Interpretation[R]. Gainesville:University of Florida, 2006.
[4] CONSOLAZIO G R, MCVAY M C, COWAN D R, et al. Development of Improved Bridge Design Provisions for Barge Impact Loading[R]. Gainesville:University of Florida, 2008.
[5] DAVIDSON M T. Simplified Dynamic Barge Collision Analysis for Bridge Pier Design[D]. Gainesville:University of Florida, 2007.
[6] CONSOLAZIO G R, COWAN D R. Numerically Efficient Dynamic Analysis of Barge Collisions with Bridge Piers[J]. Journal of Structural Engineering, 2005, 131(8):1256-1266.
[7] DAVIDSON M T, CHUNG J, BOLLMANN H, et al. Computing the Responses of Bridges Subject to Vessel Collision Loading Using Dynamic Analysis[J]. Bridge Structures, 2013, 9(4):169-183.
[8] WANG J, BU L, CAO C. Code Formulas for Ship-impact Design of Bridges[J]. Journal of Bridge Engineering, 2012, 17(4):599-606.
[9] 王君杰,喻志然.船撞设计冲击谱研究[J].振动与冲击,2014,33(14):11-14. WANG Jun-jie, YU Zhi-ran. Design Impact Spectrum for Vessel-bridge Collision Analysis[J]. Journal of Vibration and Shock, 2014, 33(14):11-14.
[10] WANG J, SONG Y, YU Z. Impact Factor Method for Design of Bridge Foundations Under Ship Collisions[J]. Advances in Structural Engineering, 2017, 20(4):534-548.
[11] FAN W, YUAN W. Shock Spectrum Analysis Method for Dynamic Demand of Bridge Structures Subjected to Barge Collisions[J]. Computers & Structures, 2012, 90-91:1-12.
[12] FAN W, YUAN W. Dynamic Demand of Bridge Structure Subjected to Vessel Impact Using Simplified Interaction Model[J]. Journal of Bridge Engineering, 2017, 16(1):117-126.
[13] LENSELINK H, THUNG K G. Full Scale Ship Collision Tests-numerical Simulations[J]. Schip en Werf de Zee, 1993, 3(4):158-164.
[14] 王君杰,李军,孟德巍.钢箱计算失效应变的冲击试验[J].建筑科学与工程学报,2014,31(1):50-55. WANG Jun-jie, LI Jun, MENG De-wei. Impact Test on Computational Failure Strain of Steel Boxes[J]. Journal of Architecture and Civil Engineering, 2014, 31(1):50-55.
[15] JCSS J. Probabilistic Model Code[J]. Structural Safety, 1997, 19(3):245-251.
[16] COWPER G R, SYMONDS P S. Strain-hardening and Strain-rate Effects in the Impact Loading of Cantilever Beams[R]. Providence:Brown University, 1957.
[17] HALLQUIST J O. LS-DYNA Keyword User's Manual[M]. Livermore:Livermore Software Technology Corporation, 2007.
[18] CHOPRA A K. Dynamics of Structures[M]. New Jersey:Prentice Hall, 1995.
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