Stability of average acceleration method for structures with nonlinear damping

The energy approach is used to theoretically verify that the average acceleration method （AAM）, which is unconditionally stable for linear dynamic systems, is also unconditionally stable for structures with typical nonlinear damping, including the special case of velocity power type damping with a bilinear restoring force model. Based on the energy approach, the stability of the AAM is proven for SDOF structures using the mathematical features of the velocity power function and for MDOF structures by applying the virtual displacement theorem. Finally, numerical examples are given to demonstrate the accuracy of the theoretical analysis.     

深吃水多立柱平台稳性与水动力分析

在深水平台的设计与分析中,调整某一结构参数提高某一性能的同时,常常受到其他功能或性能上的约束,因此引起了平台各项功能及性能之间的相互竞争。以一种创新的深吃水多立柱平台(Deep Draft Multi-Spar)为目标,探讨平台结构特征参数如立柱直径、立柱高度、立柱间距和压载舱位置与平台稳定性能、水动力及运动性能、结构要求和功能要求之间的关系。水动力分析和响应计算结果显示,随着DDMS平台吃水深度的降低,垂荡、纵摇和纵荡RAOs均逐渐增大,运动性能降低,并与典型的Spar和半潜平台的RAOs进行了比较。     

深水悬链锚泊线粘性阻尼计算

深水悬链锚泊线既为上部浮体运动提供恢复力,同时也提供阻尼力,其中阻尼力主要是由于上部浮体运动牵动悬链锚泊线局部振动和整体运动耗散能量而形成的拖曳粘性阻尼力.利用单根锚泊线由于上部浮体运动而吸收的能量来计算锚泊线的拖曳粘性阻尼.锚泊线和海床之间的接触作用基于刚性海床假定,利用Morrison公式计算锚泊线的惯性力和拖曳力荷载.用有限元方法进行非线性时域动力分析,分别计算静水条件和考虑流速分布两种工况下,上部浮体发生慢漂运动、波频运动以及两者组合运动时的锚泊线动力响应,比较不同工况下锚泊线的最大张力和粘性阻尼.     

Full Coupled Effects of Hull, Mooring and Risers Model in Time Domain Based on an Innovative Deep Draft Multi-Spar

The coupled hull, mooring and riser analysis techniques in time domain are widely recognized as the unique approach to predict the accurate global motions. However, these complex issues have not been perfectly solved due to a large number of nonlinear factors, e.g. forces nonlinearity, mooring nonlinearity, motion nonlinearity and so on. This paper investigates the coupled effects through the numerical uncoupled model, mooring coupled model and fully coupled model accounting mooring and risers based on a novel deep draft multi-spar which is especially designed for deepwater in 2009. The numerical static-offset, free-decay, wind-action tests are executed, and finally the three hours simulations are conducted under 100-year return period of GOM conditions involving wave, wind and current actions. The damping contributions, response characteristics and mooring line tensions are emphatically studied.     

Truss Spar平台垂荡响应频域分析

利用已有水动力试验和数值模拟结果及Morison方程,简化估计了Truss Spar平台垂荡方向水动力贡献,快速有效地预报了平台极端海况下的垂荡响应.在频域内分别采用数值迭代计算和粘滞阻尼线性化方法得到了平台在不同数量垂荡板配置下的垂荡响应幅值算子.在墨西哥湾、西非和中国南海等3种不同地区极端海况以及墨西哥湾工作状态海况下计算了平台的响应极值,分析发现平台波频垂荡响应对入射波浪周期非常敏感.采用JONSWAP波能谱得到了Truss Spar平台垂荡响应谱.通过比较和参数分析,验证了平台在设计上的合理性与实际海况下良好的垂荡运动性能.     

Numerical Simulation of Self-Excited and Forced Vibrating Circular Cylinders in Current

Numerical simulations of a low-mass-damping circular cylinder which can oscillate freely at transverse and streamwise directions are presented in this work. The Navier-Stokes equations are solved with finite volume method, and large eddy simulation of vortex is also performed in the calculation. In order to implement dynamic mesh, overlapping grids are generated to lessen the computation for mesh field itself. Self-excited vibrations are firstly calculated to obtain the average amplitudes and frequencies of the target circular cylinder in the current flow situation, and then forced oscillations are implemented with parameters obtained in vortex-induced vibrations previously. With slight amplitude modulation, time series of displacements in vortex-induced vibrations are essentially harmonic. Regarding the fluid force, which are larger in forced oscillations than those in corresponding self-excited cases because the fluid subtracts energy from the forced cylinders. The phase angles between forces and displacements are 0o and 180o for self-excited case and forced case respectively. In vortex-induced vibrations, the interactions between fluid and structure produce some weakly energetic vortices which induce the modulations of amplitude and frequency.