摘要
为了探讨在波浪海流共同作用下隔水管的动力响应及涡激振动力分析,根据三维空间中隔水管运动的微分控制方程,以Matteoluca改进的Vanderpol尾流振子模型为基础计算涡激振动时隔水管与流体之间的相互作用。通过Hermite插值函数对隔水管的运动微分方程进行有限元离散,基于非线性分析理论利用当前拉氏描述(UL)建立了考虑几何非线性、预应力、涡激流固耦合等复杂因素影响的综合非线性增量平衡方程,并采用New-ton-Raphson迭代法和Newmark方法相结合的方法建立了空间隔水管非线性涡激动力响应的增量迭代算法。最后给出了考虑几何非线性与对外界荷载作用简化的位移分布包络线,以及横向涡激振动响应曲线。计算结果表明,所采用的方法正确、有效,可以为隔水管的生产设计及理论分析提供依据。
An investigation emphasizing on dynamic response of marine riser subjected to waves and ocean currents in 3-D space is presented in this paper. The differential governing equation of marine riser, and the detailed external load＇s expression of the forces caused by currents, waves and vortex -induced vibration based on Matteoluca＇s wake oscillator model are given,respectively.Then the governing equation is discretized by using Hermite interpolation function.Nonlinear aspects are considered including the geometrical nonlinearities,pretensions,fluid and stress coupling due to vortex induced vibration according to the updated Lagrangian formulation of beam element.An iterative-incremental method based on Newton-Raphson and Newmark method is used to solve the nonlinear problems.Finally,the displacements of in-line and cross-flow are given by considering the geometrical nonlinearities or the outside loads＇ simplification. The results demonstrate that the dynamic response of marine riser is described well by using these methods.
出处
《船舶力学》
EI
北大核心
2009年第2期189-195,共7页
Journal of Ship Mechanics
基金
863项目
深水半潜式钻井船建造关键技术(2006AA09A104)
关键词
隔水管
涡激振动
动力响应
非线性
有限元
marine riser
vortex -induced vibration
dynamic response
nonlinear
finite element method
