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A new wave based prediction technique for coupled vibro-acoustic analysis: theoretical description and application to a double wall structure

机译:一种用于耦合的振动声学分析的新型波预测技术:双壁结构的理论描述和应用

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In coupled vibro-acoustic systems, there is a force balance between the fluid pressure and the mechanical stress at the fluid-structure interface and a continuity of the fluid and structural displacement normal to this interface. When these effects are taken into account in a finite element formulation, a large non-symmetrical model has to be solved with a large computational effort. A new modeling technique, based on structural and acoustical wave propagation, has been developed to obtain the coupled vibro-acoustic response from a smaller sized model with the same accuracy. Instead of dividing the structural and acoustical domain into small elements and solving the dynamic equations within each element using simple shape functions, the entire structural and acoustical domain are described by more complex structural and acoustical wave functions, which are solutions of the structural and acoustical homogeneous wave equation. To these wave functions, a structural and acoustical particular solution of the excitation-dependent inhomogeneous wave equations are added. The contributions of the wave functions to the dynamic response of the vibro-acoustic system are determined by applying the boundary conditions, including the normal displacement continuity condition, in a weighted residual formulation. The first part of the paper describes the theoretical foundations of the new method. In the second part of the paper, the benefits and drawbacks of the method are discussed by comparing the results of the method, applied to the vibro-acoustic behaviour of a finite double wall structure, with the results obtained by a coupled finite element analysis.
机译:在耦合的振动声系统中,流体压力与流体结构界面处的机械应力之间存在力平衡以及该界面的流体的连续性和正常的结构位移。当在有限元制构中考虑这些效果时,必须以大的计算工作解决大的非对称模型。已经开发了一种基于结构和声波传播的新型建模技术,以获得具有相同精度的较小尺寸模型的耦合的振动声反应。代替将结构和声学域分成小的元件并使用简单的形状函数求解每个元件内的动态方程,通过更复杂的结构和声波功能描述整个结构和声学域,这是结构和声学均匀的解决方案波浪方程。向这些波函数中,添加了激发依赖性不均匀波方程的结构和声学特定解。通过在加权残留制剂中施加边界条件,确定波形功能对振动声系统的动态响应的贡献。本文的第一部分描述了新方法的理论基础。在本文的第二部分中,通过将应用于有限双壁结构的振动声学行为的方法的结果进行比较,通过耦合有限元分析获得的方法来讨论该方法的益处和缺点。

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