2 3 7 2 0 1 3 7 Vol. 2 3 No. 7 Jul. 2 0 1 3 * 朱 1 曼 1,2 甘 浪 雄 副 教 授 1,3 文 元 桥 教 授 1 黄 亚 敏 1,3 肖 长 诗 教 授 1 430063 2 200240 3 430063 6203070 X913. 4 U698 201132820190 2013 2013-57 A - - - - - - A Method for Defining Bridge's Safety Area under Ship out of Control Condition ZHU Man 1 GAN Lang-xiong 1 2 WEN Yuan-qiao 1 3 HUANG Ya-min 1 XIAO Chang-shi 1 3 1 School of Navigation Wuhan University of Technology Wuhan Hubei 430063 China 2 School of Naval Achitechture Ocean and Civil Engineering Shanghai Jiaotong University Shanghai 200240 China 3 Hubei Inland Shipping Technology Key Laboratory Wuhan Hubei 430063 China Abstract To study ship impact against bridge probability characteristics under ship out of control condition define quantificationally bridge safety area raise the level of bridge area navigation safety a model was built for calculating the impact probability based on the motion model of ship out of control. According to the acceptable standard of ship-bridge collision probability bridge's safety area under ship out of control condition was defined. To verify the rationality of the algorithm the Monte Carlo method was used to simulate the impact under different meteorological and hydrological conditions and ship out of control conditions. Then bridge safety areas obtained on the basis of different ship-bridge collision probabilities were figured out. The simulation results indicate that the bridge's safety area under ship out of control condition that was defined by this method coincides with the area defined by the maritime administration. Key words ship out of control bridge safety area ship impact against bridge impact probability Monte Carlo method 0 * 1003-3033 2013 07-0085 - 07 2013-03 - 17 2013-05 - 20
86 23 2013 1-20 60 2 1 2 AASHTO American Association of State Highway and Transportation Officials 3 80 4 5 1 6 7 Fig. 1 Schematic diagram of coordinate system 8 3 a - D 9-10 9 u - - s = U S exp - t /T st 1 T - - D = U 0 S exp - T /T st dt = U S T st 1 - exp - T /T st 2 u s m /s T st s T st = c /ln2 c - 1. 2 2 L C m 12 ρ a C wf A f L C = exp - 0. 14u U '2 w T ρ w C w A 1 ρ a kg /m 3 ρ w kg /m 3 C wf C w u m /s A f A s m 2 U' w m /s T s 12 1. 3 Y 2 X B 1 S m U s m /s U c L W m 9 m /s U w m /s L W = V C Tsinβ 4 1. 1 V C m /s β T 槡 s 3
7 87 2 2. 1 3. 1 15 13 S D X + L X C + L X W B /2 < D S + D Y + L Y C + L Y W 5 S m B m D S 1 m D X D y m L X C L Y C m L X W L Y W m N = 0 2 14 3 14 P I = N P oc P occ 6 P I % N /a P oc % 2 P occ % 2 2. 2 4 B S S m P occ N U P = m N P occ P occ 3. 2 S S Q U = n 7 1 u i i = 1 u i m n Q m 3 t = 0
88 23 2013 T1 T2 Table 1 1 Simulation design 1 m /s 0 10 kn 5. 144 m /s / 1 m /s 180 5 000 t 10 kn 5. 144 m /s 3 600 s 10 kn 5. 144 m /s 1 m 8 kn 4. 115 m /s 5 kn 2. 572 m /s 2 1 m /s 3. 3 3. 3. 1 T1 2a 4 800 m 4 800 m 0 4 800 m 800 m 300 m 3. 3. 2 T2 2. 5% 2b 3 2b 800 m 10 kn 5. 144 m /s 1 m /s 0 1 3 600 s 10 kn 5. 144 m /s 4 500 m 8 kn 4. 115 m /s 4 300 m 5 kn 2. 572 m /s 4 000 m 2 10 kn 5. 144 m /s 5 kn 2. 572 m /s 3. 4 300 m 3. 4. 1 T1 1 000 m 2 3. 4. 2 Fig. 2 Ship-bridge impact probability distribution in different flows 1 300 m 4
7 89 4 Fig. 4 300 m Ship-bridge impact probability distribution in different flow speeds 2 6 000 s 2 1 300 m 5 in different flow directions 3 5 000 DWT 5 Fig. 5 6 000 s 300 m Ship-bridge impact probability distribution Fig. 3 Ship-bridge impact probability distributions 5 3 000 ~ for disabled ship 5 000 DWT with different speeds 4 000 m 2% 4 0 ~ 720 m 3 500 m 2 0 720 ~ 2 000 m 2% 2 000 ~ 3 600 m 2 3 300 3 600 1. 2% 3 600 m 3 900 m 1. 2% 6 3 672 m 1. 2% 3 672 ~ 4 000 m
90 23 2013 6 0 6a 300 m 2% 2% 3 200 m 300 m 2% 6b 2% 3 600 m 300 m 2% 6c 2% 3 900 m 300 m 2% 300 m 3 600 ~ 4 000 m 3 800 m 4 1 2 3 6 6 000 s Fig. 6 Ship-bridge impact probability distribution in different flow speeds and distances 1 Ole Damgaard Larsen. Ship Collision with Bridges M. Zürich Schweiz IABSE International Association for Bridge and Structural Engineering 1993 37-53. 2 S E Van Manen. Ship Collisions Due to the Presence of Bridges R. Brussels PIANC Permanent International Association of Navigation Congresses General Secretariat 2001 39-50. 3 AASHTO. Guide Specifications and Commentary for Vessel Collision Design of Highway Bridges M. Washington D. C. AASHTO American Association of State Highway and Transportation Officials 2009 93-155.
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