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Substructuring and model reduction of pipe components interacting with acoustic fluids

机译:与声流体相互作用的管道组件的子结构化和模型简化

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摘要

This paper presents a model reduction and substructure technique for reduced dynamical models of fluid-filled pipe components. Both linear acoustical domain and structural domain are modelled by finite elements (FE), and they are fully coupled by a fluid-structure interface. The discretised dynamic FE-equations, which use the acoustic pressure as field variable in the fluid, render both non-symmetric mass and stiffness matrices due to the FSI-coupling. Since the partial solutions to the eigenproblem of the coupled system are of special interest, either numerical preconditioning or non-dimensionalisation of the physical quantities is performed to improve the condition and to accelerate the numerical computation. An iterative subspace solver is adopted to generate a sufficient approximate of the low-frequency eigenspace of the constrained problem. Model reduction for component mode synthesis uses constraint modes together with the computed eigenspace. Single-point constraints for the nodal degrees of freedom hold at the interface between substructures. The null space resulting from a QR-decomposition of the single-point constraints at the interface is used as explicit coupling matrix to prevent the deterioration of the conditioning. Partitioning of the reduction space and coupling matrices leads to a structure of the coupled global system matrices, which is similar to the original system structure in physical quantities. Therefore, the iterative subspace eigensolver is used again for numerical modal analysis. Modal analysis is performed for a pipe segment assembled by fully coupled two-field substructures. The results are compared to the results obtained from the full model and to experimentally determined mode shapes.
机译:本文提出了一种模型简化和子结构技术,用于简化充满流体的管道组件的动力学模型。线性声学域和结构域都由有限元(FE)建模,并且它们通过流固耦合完全耦合。使用声压作为流体中的场变量的离散动态FE方程由于FSI耦合而呈现非对称质量和刚度矩阵。由于耦合系统本征问题的局部解决方案特别受关注,因此可以进行数值预处理或对物理量进行无量纲化,以改善条件并加速数值计算。采用迭代子空间求解器来生成约束问题的低频本征空间的足够近似值。组件模式合成的模型简化将约束模式与计算出的特征空间一起使用。节点自由度的单点约束保持在子结构之间的界面处。接口处单点约束的QR分解所产生的零空间被用作显式耦合矩阵,以防止条件恶化。归约空间和耦合矩阵的划分导致耦合的全局系统矩阵的结构,其物理量类似于原始系统的结构。因此,迭代子空间特征求解器再次用于数值模态分析。对通过全耦合两场子结构组装的管段进行模态分析。将结果与从完整模型获得的结果以及实验确定的模式形状进行比较。

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