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一种混合有限元-统计能量分析方法的数值与实验验证

Numerical and experimental validation of a hybrid finite element-statistical energy analysis method.

作者信息

Cotoni Vincent, Shorter Phil, Langley Robin

机构信息

ESI US R&D, San Diego, California, USA.

出版信息

J Acoust Soc Am. 2007 Jul;122(1):259-70. doi: 10.1121/1.2739420.

Abstract

The finite element (FE) and statistical energy analysis (SEA) methods have, respectively, high and low frequency limitations and there is therefore a broad class of "mid-frequency" vibro-acoustic problems that are not suited to either FE or SEA. A hybrid method combining FE and SEA was recently presented for predicting the steady-state response of vibro-acoustic systems with uncertain properties. The subsystems with long wavelength behavior are modeled deterministically with FE, while the subsystems with short wavelength behavior are modeled statistically with SEA. The method yields the ensemble average response of the system where the uncertainty is confined in the SEA subsystems. This paper briefly summarizes the theory behind the method and presents a number of detailed numerical and experimental validation examples for structure-borne noise transmission.

摘要

有限元(FE)方法和统计能量分析(SEA)方法分别存在高频和低频限制,因此存在一大类“中频”振动声学问题,既不适合有限元方法也不适合统计能量分析方法。最近提出了一种结合有限元和统计能量分析的混合方法,用于预测具有不确定特性的振动声学系统的稳态响应。具有长波长特性的子系统用有限元方法进行确定性建模,而具有短波长特性的子系统用统计能量分析方法进行统计建模。该方法得出系统的总体平均响应,其中不确定性局限于统计能量分析子系统中。本文简要总结了该方法背后的理论,并给出了一些关于结构声传播的详细数值和实验验证示例。

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