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首页> 外文期刊>Mechanical systems and signal processing >A robust component mode synthesis method for stochastic damped vibroacoustics
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A robust component mode synthesis method for stochastic damped vibroacoustics

机译：随机阻尼振动声的鲁棒成分模式合成方法

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摘要

In order to reduce vibrations or sound levels in industrial vibroacoustic problems, the low-cost and efficient way consists in introducing visco- and poro-elastic materials either on the structure or on cavity walls. Depending on the frequency range of interest, several numerical approaches can be used to estimate the behavior of the coupled problem. In the context of low frequency applications related to acoustic cavities with surrounding vibrating structures, the finite elements method (FEM) is one of the most efficient techniques. Nevertheless, industrial problems lead to large FE models which are time-consuming in updating or optimization processes. A classical way to reduce calculation time is the component mode synthesis (CMS) method, whose classical formulation is not always efficient to predict dynamical behavior of structures including visco-elastic and/or poro-elastic patches. Then, to ensure an efficient prediction, the fluid and structural bases used for the model reduction need to be updated as a result of changes in a parametric optimization procedure. For complex models, this leads to prohibitive numerical costs in the optimization phase or for management and propagation of uncertainties in the stochastic vibroacoustic problems. In this paper, the formulation of an alternative CMS method is proposed and compared to classical (u,p) CMS method: the Ritz basis is completed with static residuals associated to visco-elastic and poro-elastic behaviors. This basis is also enriched by the static response of residual forces due to structural modifications, resulting in a so-called robust basis, also adapted to Monte Carlo simulations for uncertainties propagation using reduced models.
机译：为了减少工业振动声问题中的振动或声级，低成本和有效的方法包括在结构或空腔壁上引入粘弹性和多孔弹性材料。根据感兴趣的频率范围，可以使用几种数值方法来估计耦合问题的行为。在与带有周围振动结构的声腔相关的低频应用中，有限元方法（FEM）是最有效的技术之一。然而，工业问题导致大型有限元模型，这在更新或优化过程中非常耗时。减少计算时间的经典方法是分量模式合成（CMS）方法，其经典公式表示并不总是有效地预测包括粘弹性和/或多孔弹性斑块的结构的动力学行为。然后，为了确保有效的预测，由于参数优化过程的变化，需要更新用于模型简化的流体和结构基础。对于复杂的模型，这会导致优化阶段的数字成本过高，或者在随机振动声问题中不确定性的管理和传播。在本文中，提出了一种替代CMS方法的公式，并与经典（u，p）CMS方法进行了比较：Ritz基础由与粘弹性和孔隙弹性行为相关的静态残差完成。由于结构修改而产生的残余力的静态响应也丰富了此基础，从而形成了所谓的稳健基础，该基础也适用于使用简化模型进行不确定性传播的蒙特卡洛模拟。

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