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On the use of a hybrid wave based-statistical energy approach for the analysis of vibro-acoustic systems in the mid-frequency range

机译:关于使用混合波的统计能量方法在中频范围内分析振动声学系统

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Most of the currently available numerical prediction techniques for the analysis of steady-state dynamic vibro-acoustic problems can be classified as being either deterministic or statistical approaches. The Finite Element Method (FEM), the most popular deterministic technique, is limited to the low-frequency range due to its sensitivity to interpolation and pollution errors. The statistical methods, of which the Statistical Energy Analysis (SEA) is most know, are limited to the high-frequency range due to their underlying assumptions. Between the low- and high-frequency ranges there is a relatively wide mid-frequency-range, in which some of the structural subsystems fulfill the requirements for the statistical approach and some others do not (yet). Recently, a hybrid deterministic-statistical framework which combines FE and SEA models has been developed by Shorter and Langley. However, the computational load associated with the FE models still limits the use of this method. In this paper, a hybrid framework is proposed which couples Trefftz-based deterministic models with statistical SEA models. The framework is used to couple SEA models with the recently developed Wave Based Method (WBM) of which the computational efficiency can be exploited to reduce the computational load as compared to the hybrid FE-SEA.
机译:用于分析稳态动态振动声问题的大多数现有的数值预测技术可以被归类为确定性或统计方法。有限元方法(FEM),最流行的确定性技术,由于其对插值和污染误差的敏感性而受到低频范围。统计方法,其中统计能量分析(海)最知悉,由于其潜在的假设,其潜在的高频范围仅限于高频范围。在低频和高频范围之间存在相对宽的中频范围,其中一些结构子系统符合统计方法的要求,其他一些结构子系统没有(尚未)。最近,通过较短和兰利开发了一个结合Fe和Sea模型的混合确定性统计框架。然而,与FE模型相关的计算负载仍然限制了这种方法的使用。本文提出了一种混合框架,其与统计海模型耦合基于Trefftz的确定性模型。该框架用于将海模型与最近开发的波的方法(WBM)耦合,其中可以利用计算效率,以与混合Fe-Sea相比降低计算负荷。

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