向量式有限元法在管土相互作用中的应用
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摘要
向量式有限元法是基于向量式力学和数值计算的一种创新性的结构行为分析方法。文章采用三种弹簧模型模拟海床,将向量式有限元法用于钢悬链线立管触地段与海床土体相互作用研究中,编制相应Matlab求解程序,计算了端部施加一定位移下立管的位形和弯曲应力,并与他人基于有限差分法及ABAQUS的模拟结果进行对比,同时运用该方法分析了弹簧模型、土体刚度、土体吸力系数等参数对立管触地段变形和弯曲应力的影响。结果表明向量式有限元法在模拟静态端部位移加载下的管-土相互作用是准确和可行的,能够直接求解变形和内力,具有相对简洁性,此方法是对立管力学行为的模拟,符合实际运动变形过程。为模拟管-土相互作用提供了新方法,同时为进一步研究实际循环载荷下管-土相互作用奠定了基础。
The vector form intrinsic finite element method(VFIFE) is an innovative method in the structural behavior analysis based on the vector mechanics and numerical calculations. Adopting three spring model to simulate the seabed, seabed interaction with steel catenary riser(SCR) touchdown zone was analyzed based on VFIFE. The corresponding solving program based on VFIFE was compiled with Matlab. Configuration and bending stress were analyzed, when the displacement is applied on the end. The result was compared with the result analyzed by ABAQUS and other's solving program based on the finite difference method(FDM). Meanwhile parameters such as spring model, soils stiffness and soil suction force coefficient on the effect of the riser/seafloor interaction were analyzed. The result shows that it is accurate and feasible for the modeling scheme based on VFIFE to analyze the riser/seafloor interaction. It can give the internal force and deformation, which is relatively simple. This method simulates pipe mechanics behavior, and can more coincide with the actual deformation and motion. It presents a new method to simulate riser/seafloor interaction. And the research results provide a basis for further studying the riser/seafloor interaction under actual cyclic loading.
The vector form intrinsic finite element method(VFIFE) is an innovative method in the structural behavior analysis based on the vector mechanics and numerical calculations. Adopting three spring model to simulate the seabed, seabed interaction with steel catenary riser(SCR) touchdown zone was analyzed based on VFIFE. The corresponding solving program based on VFIFE was compiled with Matlab. Configuration and bending stress were analyzed, when the displacement is applied on the end. The result was compared with the result analyzed by ABAQUS and other's solving program based on the finite difference method(FDM). Meanwhile parameters such as spring model, soils stiffness and soil suction force coefficient on the effect of the riser/seafloor interaction were analyzed. The result shows that it is accurate and feasible for the modeling scheme based on VFIFE to analyze the riser/seafloor interaction. It can give the internal force and deformation, which is relatively simple. This method simulates pipe mechanics behavior, and can more coincide with the actual deformation and motion. It presents a new method to simulate riser/seafloor interaction. And the research results provide a basis for further studying the riser/seafloor interaction under actual cyclic loading.
引文
[1]Pesce C P,Aranha J A P,Martins C A.Dynamic curvature in catenary risers at the touch down point region:An experimental study and the analytical boundary-layer solution[J].International Journal of Offshore and Polar Engineering,1998,8(4):303-310.
[2]Bridge C,Howells H,Toy N,Parke G A R,Woods R.Full-scale model tests of a steel catenary riser[C]//2nd International Conference on Fluid Structure Interaction.Cadiz,Spain,2002.
[3]You Jung Hwah.Numerical model for steel catenary riser on seafloor support[D].Texas:Texas A&M University,2005:33-35.
[4]Aubeny C P,Biscontin G,Zhang Jun.Seafloor interaction with steel catenary risers[D].Texas:Texas A&M University,2006.
[5]Hu H J E,Leung C F,Chow Y K.Centrifuge model study of SCR motion in touchdown zone[C]//28th International Conference on Ocean,Offshore and Arctic Engineering.Honolulu,Hawaii,paper No.OMAE2009-79281.2009.
[6]郭海燕,高秦岭,王小东.钢悬链式立管与海床土体接触问题的ANASYS有限元分析[J].中国海洋大学学报,2009,39(3):521-525.Guo Haiyan,Gao Qinling,Wang Xiaodong.Finite element analysis of steel catenary riser/soil contact problem by ANSYS[J].Periodical of Ocean University of China,2009,39(3):521-525.
[7]王坤鹏,薛鸿祥,唐文勇.基于海床吸力和刚度衰减模型的深海钢悬链线立管动力响应分析[J].上海交通大学学报,2011(4):585-589.Wang Kunpeng,Xue Hongxiang,Tang Wenyong.Dynamic response analysis of deepwater steel catenary riser based on the seabed-suction and stiffness-degradation model[J].Journal of Shanghai Jiaotong University,2011(4):585-589.
[8]Wang L,Zhang J,Yuan F,Kai Li.Interaction between catenary riser and soft seabed:large-scale indoor tests[J].Applied Ocean Research,2014,45(45):10-21.
[9]白兴兰,黄维平,谢永和,杨超凡.非线性管-土作用下钢悬链线立管触地区疲劳分析[J].工程力学,2016,33(3):248-256.Baixinglan,Huang weiping,Xie yonghe,Yang chaofan.Fatigue analysis of steel catenary riser at touchdown zone under nonlinear riser-soil interaction[J].Engineering Mechanics,2016,33(3):248-256.
[10]李敢,陈谦,黄小平.管土作用下的钢悬链线立管动力响应及其疲劳分析[J].舰船科学技术,2016,38(7):103-107.Li Gan,Chen Qian,Huang Xiaoping.The dynamic response and fatigue analysis of SCR considering the pipe-soil interaction[J].Ship Science and Technology,2016,38(7):103-107.
[11]丁承先,段元锋,吴东岳.向量式结构力学[M].北京:科学出版社,2012.Ding Edward C,Duan Yuanfeng,Wu Dongyue.Vector form mechanics of structures[M].Beijing:Science Press,2012.
[12]梁勇.钢悬链线立管触地段管土作用研究[D].杭州:浙江大学,2014.Liang Yong.Research on interactions between steel catenary risers touchdown zone and the seafloor[D].Hangzhou:Zhejiang University,2014.
[2]Bridge C,Howells H,Toy N,Parke G A R,Woods R.Full-scale model tests of a steel catenary riser[C]//2nd International Conference on Fluid Structure Interaction.Cadiz,Spain,2002.
[3]You Jung Hwah.Numerical model for steel catenary riser on seafloor support[D].Texas:Texas A&M University,2005:33-35.
[4]Aubeny C P,Biscontin G,Zhang Jun.Seafloor interaction with steel catenary risers[D].Texas:Texas A&M University,2006.
[5]Hu H J E,Leung C F,Chow Y K.Centrifuge model study of SCR motion in touchdown zone[C]//28th International Conference on Ocean,Offshore and Arctic Engineering.Honolulu,Hawaii,paper No.OMAE2009-79281.2009.
[6]郭海燕,高秦岭,王小东.钢悬链式立管与海床土体接触问题的ANASYS有限元分析[J].中国海洋大学学报,2009,39(3):521-525.Guo Haiyan,Gao Qinling,Wang Xiaodong.Finite element analysis of steel catenary riser/soil contact problem by ANSYS[J].Periodical of Ocean University of China,2009,39(3):521-525.
[7]王坤鹏,薛鸿祥,唐文勇.基于海床吸力和刚度衰减模型的深海钢悬链线立管动力响应分析[J].上海交通大学学报,2011(4):585-589.Wang Kunpeng,Xue Hongxiang,Tang Wenyong.Dynamic response analysis of deepwater steel catenary riser based on the seabed-suction and stiffness-degradation model[J].Journal of Shanghai Jiaotong University,2011(4):585-589.
[8]Wang L,Zhang J,Yuan F,Kai Li.Interaction between catenary riser and soft seabed:large-scale indoor tests[J].Applied Ocean Research,2014,45(45):10-21.
[9]白兴兰,黄维平,谢永和,杨超凡.非线性管-土作用下钢悬链线立管触地区疲劳分析[J].工程力学,2016,33(3):248-256.Baixinglan,Huang weiping,Xie yonghe,Yang chaofan.Fatigue analysis of steel catenary riser at touchdown zone under nonlinear riser-soil interaction[J].Engineering Mechanics,2016,33(3):248-256.
[10]李敢,陈谦,黄小平.管土作用下的钢悬链线立管动力响应及其疲劳分析[J].舰船科学技术,2016,38(7):103-107.Li Gan,Chen Qian,Huang Xiaoping.The dynamic response and fatigue analysis of SCR considering the pipe-soil interaction[J].Ship Science and Technology,2016,38(7):103-107.
[11]丁承先,段元锋,吴东岳.向量式结构力学[M].北京:科学出版社,2012.Ding Edward C,Duan Yuanfeng,Wu Dongyue.Vector form mechanics of structures[M].Beijing:Science Press,2012.
[12]梁勇.钢悬链线立管触地段管土作用研究[D].杭州:浙江大学,2014.Liang Yong.Research on interactions between steel catenary risers touchdown zone and the seafloor[D].Hangzhou:Zhejiang University,2014.
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