摘要
钢悬链线立管在上部附体激励作用下的动力响应在立管的性能化设计中是非常重要的。考虑钢悬链线立管轴向大应变的特性以及弯曲刚度和内流的影响,利用Hamilton原理和拉格朗日应变理论建立了立管的二维动力学模型。将外部流体的非线性作用力用Morison方程表示,通过Hermite插值函数对动力学方程进行离散,采用平均加速度法求解立管的动力响应。探讨了弯曲刚度的存在、内流流动和外部流体的非线性作用力对立管受浮体激励顺流向动力响应的影响。
In order to perform the performance-based design of deepwater steel catenary risers, the evaluation of their dynamic responses to top excitation is imperative. Here, the energy function of the risers conveying fluid was derived with the variational principle. Nonlinear equations of motion influenced by the nonlinear Morison waveform were obtained using Hamilton＇s principle in combination with Lagrangian-strain definition. Investigation of the in-line dynamic responses of steel catenary risers was achieved using the finite element method and Newmark average acceleration method. It was found that bending stiffness and internal fluid velocity play a major role in responses, while flow rate and drag force coefficients remarkably affect the displacement amplitudes of the marine risers＇ resonant responses; outflow velocity has a significant effect on the bending moment and stress of the riser＇s bottom end.
出处
《振动与冲击》
EI
CSCD
北大核心
2013年第4期96-101,共6页
Journal of Vibration and Shock
基金
国家自然科学基金资助项目(50808105)
山东省优秀中青年科学家科研奖励基金(BS2009SF003)
关键词
钢悬链线立管
内流
顶部浮体激励
非线性响应
steel catenary risers
internal fluid
top excitation
nonlinear dynamic response
