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An uncertain computational model for random vibration analysis of subsea pipelines subjected to spatially varying ground motions

机译：对空间不同地面运动的海底管道随机振动分析的不确定计算模型

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摘要

Based on a nonparametric modelling approach, this paper presents a random vibration analysis of a subsea pipeline subjected to spatially varying ground motions. The earthquake-induced ground motions are modelled as nonstationary random processes and their spatial variations are considered. The modelling uncertainties of the subsea pipeline are taken into account using a random matrix theory, while the unilateral contact relationship between the pipeline and seabed is also considered. Thus, an uncertain computational model for the subsea pipeline subjected to a random earthquake is established, and the corresponding solutions are calculated using Monte Carlo simulation (MCS). In order to highlight the contribution of the unilateral contact effect to random responses of pipelines, comparative studies are performed between the unilateral and permanent contact models. In numerical examples, the possible convergence problems in the present computational model are firstly studied to determine the optimal numbers of reduced modes and MCS samples. Then influences of the randomness in the earthquake and modelling uncertainties in the pipeline are investigated qualitatively through three representative cases. The different propagations of randomness and modelling uncertainties in the unilateral and permanent models are also examined and discussed. It is concluded that the randomness of the earthquake and modelling uncertainties of the pipeline have significant influences on the statistical characteristics of earthquake responses of the pipeline.
机译：基于非参数建模方法，本文提出了对空间变化的地面运动的海底管道的随机振动分析。地震诱导的地面运动被建模为非营养的随机过程，并且考虑了它们的空间变化。使用随机矩阵理论考虑了海底管道的建模不确定性，而管道和海底之间的单侧接触关系也被考虑。因此，建立了经受随机地震的海底流水线的不确定计算模型，并且使用蒙特卡罗模拟（MCS）计算相应的解决方案。为了突出单侧接触效应对管道随机响应的贡献，在单侧和永久接触模型之间进行比较研究。在数值示例中，首先研究了本计算模型中可能的收敛问题，以确定减少模式和MCS样本的最佳数量。然后通过三种代表性案例调查地震中随机性对地震和建模不确定性的影响。还检查并讨论了单边和永久模型中的随机性和建模不确定性的不同传播。结论是，地震的随机性和管道的建模不确定性对管道地震反应的统计特征有重大影响。

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