Dynamical energy analysis on mesh grids: A new tool for describing the vibro-acoustic response of complex mechanical structures

Dynamical energy analysis on mesh grids: A new tool for describing the vibro-acoustic response of complex mechanical structures
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DOI:
10.1016/j.wavemoti.2014.01.004
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发表时间:
2014-06-01
期刊:
影响因子:
2.4
通讯作者:
Tanner, G.
Tanner, G.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Chappell, D. J.;Loechel, D.;Tanner, G.

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我们提出了一种在中高频范围内对复杂机械结构中的噪声和振动进行建模的新方法。它基于动态能量分析 (DEA) 公式,将统计能量分析 (SEA) 等标准技术扩展到非扩散波场。 DEA 考虑了波场的全方向性并使得子结构变得过时。因此,它可以在常用的网格上实现,例如在有限元方法(FEM)中。所得到的基于网格的 DEA 公式可以使用离散流映射 (DFM) 非常有效地实现,如 Chappell 等人所述。 (2013) 并在此描述了振动声学的应用。可以在整个建模结构上获得中高频振动声学响应。界面处材料参数的突变用通过局部求解波动方程获得的反射/透射矩阵来描述。考虑了两个基准模型系统:造船业使用的双壳结构和路虎揽胜的铸铝减震塔。我们证明,采用 DFM 实现的 DEA 可以有效地处理多模波传播,同时考虑界面和曲面上剪切波、压力波和弯曲波之间的模式转换。 (C) 2014 Elsevier B.V. 保留所有权利。
We present a new approach for modelling noise and vibration in complex mechanical structures in the mid-to-high frequency regime. It is based on a dynamical energy analysis (DEA) formulation which extends standard techniques such as statistical energy analysis (SEA) towards non-diffusive wave fields. DEA takes into account the full directionality of the wave field and makes sub-structuring obsolete. It can thus be implemented on mesh grids commonly used, for example, in the finite element method (FEM). The resulting mesh based formulation of DEA can be implemented very efficiently using discrete flow mapping (DFM) as detailed in Chappell et al. (2013) and described here for applications in vibro-acoustics. A mid-to-high frequency vibro-acoustic response can be obtained over the whole modelled structure. Abrupt changes of material parameter at interfaces are described in terms of reflection/transmission matrices obtained by solving the wave equation locally. Two benchmark model systems are considered: a double-hull structure used in the shipbuilding industry and a cast aluminium shock tower from a Range Rover. We demonstrate that DEA with DFM implementation can handle multi-mode wave propagation effectively, taking into account mode conversion between shear, pressure and bending waves at interfaces, and on curved surfaces. (C) 2014 Elsevier B.V. All rights reserved.