水中悬浮隧道在冲击载荷作用下的计算模型与数值模拟
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摘要
建立了水中悬浮隧道在冲击载荷作用下的简化计算模型。用等效质量法将圆柱壳分布质量折算成冲击点处的集中质量,模型中考虑流体附加质量和系统阻尼的影响。根据碰撞过程中的动量守恒、变形过程中的能量守恒以及结构的位移与内力关系,得到问题的解析解。为验证解析解,在ANSYS/LS-DYNA中建立了动态冲击有限元分析模型。通过算例分别考察了在忽略和考虑流体附加质量两种情况下,冲击点位置和冲击速度对冲击点处最大径向位移的影响,将解析解与数值解进行对比,结果吻合较好。然后采用数值模拟方法得到了系统阻尼对计算结果的影响规律。数值模拟过程中还可以得到冲击点处的最大Mises应力。
A calculation model for submerged floating tunnel (SFT) subjected to impact loading is developed. The distributed mass of the cylindrical shell is converted into concentrated mass at the impact position. Based on energy conservation during deformation process, momentum conservation during impact and the relationship between displacements and internal forces, the analytical solution is obtained, which considers the effects of added water mass and system damping. In order to verify the analytical result, a finite element model of impact is established using the ANSYS/LS-DYNA code. A simulation example is given to examine the effects of impact position and impact velocity on the maximum radial displacement at impact position. Both cases with and without added water mass are considered. The analytical solution and numerical simulation are compared, showing that they are in good agreement. The effects of system damping on the results are obtained by further numerical simulation. During the numerical simulation, the maximum von Mises stress at impact position can also be obtained.
A calculation model for submerged floating tunnel (SFT) subjected to impact loading is developed. The distributed mass of the cylindrical shell is converted into concentrated mass at the impact position. Based on energy conservation during deformation process, momentum conservation during impact and the relationship between displacements and internal forces, the analytical solution is obtained, which considers the effects of added water mass and system damping. In order to verify the analytical result, a finite element model of impact is established using the ANSYS/LS-DYNA code. A simulation example is given to examine the effects of impact position and impact velocity on the maximum radial displacement at impact position. Both cases with and without added water mass are considered. The analytical solution and numerical simulation are compared, showing that they are in good agreement. The effects of system damping on the results are obtained by further numerical simulation. During the numerical simulation, the maximum von Mises stress at impact position can also be obtained.
引文
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[2]Kunisu H,Mizuno S,Mizuno Y,Saeki H.Study on submerged floating tunnel characteristics under the wave condition[C]//Proc.of the international offshore and polar engineering conference.Osaka:ISOPE,1994,27―32.
[3]Morita S,Yamashita T,Mozimp Y,Mineta M,Kurosaki K.Earthquake response analysis of submerged floating tunnels considering water compressibility[C]//Proc.of the international offshore and polar engineering conference.Osaka:ISOPE,1994,20―26.
[4]Fogazzi P,Perotti F.The dynamic response of seabed anchored floating tunnels under seismic excitation[J].Earthquake Engineering and Structural Dynamics,2000,29:273―295.
[5]麦继婷,罗忠贤,关宝树.波流作用下悬浮隧道的涡激动力响应[J].铁道学报,2005,27(1):102―105.Mai Jiting,Luo Zhongxian,Guan Baoshu.The Vortex-Excited dynamic response for a submerged floating tunnel under the combined wave and current effect[J].Journal of The China Railway Society,2005,27(1):102―105.(in Chinese)
[6]Blevins R O.Formulas for natural frequency and mode shape[M].New York:Van Nostrand Reinhold Company1979.
[7]贾学敏.海岸高桩码头结构受地震和海浪载荷作用的近似计算[J].振动、测试与诊断,1993,13(1):17―23.Jia Xuemin.An approximate calculation of seashore High-Pill structure under loadings of earthquake and waves[J].Journal of Vibration,Measurement&Diagnosis,1993,13(1):17―23.(in Chinese)
[8]成祥生.闭合圆柱壳在冲击载荷下的动力计算[J].应用数学和力学,1989,10(2):167―172.Cheng Xiangsheng.The dynamic computation of closed cylindrical shell under impact load[J].Applied Mathem-atics and Mechanics,1989,10(2):167―172.(in Chinese)
[9]诺夫日洛夫B B.薄壳理论[M].北京:科学出版社,1959.Rovorilov B B.Thin shell theory[M].Beijing:Science Press,1959.(in Chinese)
[10]吴连元,许昌.圆柱壳体在移动集中荷载作用下的弯曲解[J].上海交通大学学报,1989,23(5):45―54.Wu Lianyuan,Xu Chang.Bending analysis of circular cylindrical shell subjected to concentrated moving loads[J].Journal of Shanghai Jiaotong University,1989,23(5)45―54.(in Chinese)
[11]吴崇试.数学物理方法[M].北京:北京大学出版社,2001.Wu Chongshi.Methods of mathematical physics[M].Beijing:Peking University Press,2001.(in Chinese)
[12]王自力,蒋志勇,顾永宁.船舶碰撞数值仿真的附加质量模型[J].爆炸与冲击,2002,22(4):321―326.Wang Zili,Jiang Zhiyong,Gu Yongning.An added water mass model for numerical simulation of ship/ship colliesions[J].Explosion and Shock Waves,2002,22(4):321―326.(in Chinese)
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