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Stable model order reduction for time-domain exterior vibro-acoustic finite element simulations

机译:时域外部振动声有限元仿真的稳定模型降阶

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This paper presents a novel method that enables model order reduction of a fully-coupled, exterior vibro-acoustic finite element model for time domain simulations. The method preserves the stability of the full model and reduces the amount of degrees of freedom significantly, with only a moderate amount of calculation complexity. Infinite elements are used on the finite element boundary to satisfy the Sommerfeld radiation condition. Two different strategies to calculate the reduced order model are compared. The first strategy works with a split reduced basis and can be applied on any fully stable model. The second strategy starts from a modified Everstine formulation and directly builds a reduced basis from the full model, leading to more compact reduced order models. Furthermore, a method is derived to perform explicit time integration on the reduced system, while avoiding the inversion of the mass matrix, which might not be possible due to the presence of the infinite elements. Also this method is shown to preserve the stability of the model and a computationally efficient way for implementation of the method is discussed. The effectiveness of the novel methodology is demonstrated with two numerical models. (C) 2017 Elsevier B.V. All rights reserved.
机译:本文提出了一种新颖的方法,该方法可以简化时域仿真的全耦合外部振动声有限元模型的模型阶数。该方法保留了完整模型的稳定性,并显着减少了自由度,而计算量却很少。在有限元边界上使用无限元以满足Sommerfeld辐射条件。比较了计算降阶模型的两种不同策略。第一种策略在减少的基础上工作,可以应用于任何完全稳定的模型。第二种策略是从修改的Everstine公式开始,并直接从完整模型构建缩减的基础,从而导致更紧凑的缩减订单模型。此外,推导了一种在简化系统上执行显式时间积分的方法,同时避免了质量矩阵的求逆,这可能由于无限元素的存在而无法实现。还示出了该方法以保持模型的稳定性,并且讨论了用于实现该方法的计算有效的方式。两个数值模型证明了该新方法的有效性。 (C)2017 Elsevier B.V.保留所有权利。

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