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Stochastic dynamic analysis of marine risers considering fluid-structure interaction and system uncertainties

机译：考虑流固耦合和系统不确定性的海洋立管随机动力学分析

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Stochastic dynamic analysis of offshore structures considering both fluid-structure interaction and system uncertainties is a challenging research task. This paper proposes a novel method to evaluate the statistical characteristics of offshore structural responses with consideration of uncertainties in the fluid and structure. The fluid behavior is simulated by a finite number of particles with particle finite element method (PFEM), and the dynamic behavior of the offshore structure is modelled with finite element method (FEM). A PFEM-FEM scheme is used to model the fluid-structure interaction. To evaluate the statistical characteristics, spectral representations method is used for uncertainty propagation. The output of fluid particles position/pressure, structural vibration, etc. are represented by using polynomial chaos (PC) expansion, and their coefficients are obtained from the least squares method. Statistical characteristics of the responses, such as mean value and variance, can be evaluated with the obtained PC coefficients. Three numerical examples are studied in this paper. The first example is a simple structural model, which is used to demonstrate the convergence and accuracy of the uncertainty analysis method. The second example is a benchmark dam break problem. Statistical characteristics of the fluid particles position due to uncertainties in the mass density are evaluated. Numerical results are verified with experimental data and observations. In the third example, PFEM-FEM scheme is used to conduct fluid- structure interaction analysis. The marine riser structure is modelled with beam elements. In the fluid domain, PFEM is used. Uncertainties in both the fluid domain and structural domain are considered. Results demonstrate that the proposed approach can be used to evaluate the statistical characteristics of responses in the fluid-structure interaction analysis accurately and efficiently.
机译：同时考虑流固耦合和系统不确定性的海上结构随机动力学分析是一项艰巨的研究任务。本文提出了一种新颖的方法来评估海上结构响应的统计特征，同时考虑到流体和结构的不确定性。用有限元方法（PFEM）模拟有限数量的颗粒的流体行为，并用有限元方法（FEM）模拟海上结构的动力学行为。 PFEM-FEM方案用于模拟流体-结构相互作用。为了评估统计特性，频谱表示法用于不确定性传播。流体粒子位置/压力，结构振动等的输出通过使用多项式混沌（PC）展开表示，其系数从最小二乘法获得。可以使用获得的PC系数评估响应的统计特性，例如平均值和方差。本文研究了三个数值示例。第一个示例是一个简单的结构模型，用于演示不确定性分析方法的收敛性和准确性。第二个例子是基准溃坝问题。评估由于质量密度的不确定性而导致的流体颗粒位置的统计特性。数值结果已通过实验数据和观察结果进行了验证。在第三个示例中，PFEM-FEM方案用于进行流体-结构相互作用分析。船用立管结构用梁单元建模。在流体领域，使用PFEM。考虑了流体域和结构域的不确定性。结果表明，所提出的方法可用于准确，有效地评估流固耦合分析中响应的统计特征。

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