期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 102, 期 12, 页码 1815-1829出版社
WILEY
DOI: 10.1002/nme.4871
关键词
vibro-acoustic problems; face-based smoothed finite element method; FS-FEM; SEA; mid-frequency
资金
- NSFC of China [61232024]
- US National Science Foundation [1214188]
- US Army Research Office [W911NF-12-1-0147]
- State Key Laboratory of Advanced Technology of Design and Manufacturing for Vehicle Body, Hunan University, China [41215002]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1214188] Funding Source: National Science Foundation
Predicting the frequency response of a complex vibro-acoustic system becomes extremely difficult in the mid-frequency regime. In this work, a novel hybrid face-based smoothed finite element method/statistical energy analysis (FS-FEM/SEA) method is proposed, aiming to further improve the accuracy of mid-frequency' predictions. According to this approach, the whole vibro-acoustic system is divided into a combination of a plate subsystem with statistical behaviour and an acoustic cavity subsystem with deterministic behaviour. The plate subsystem is treated using the recently developed FS-FEM, and the cavity subsystem is dealt with using the SEA. These two different types of subsystems can be coupled and interacted through the so-called diffuse field reciprocity relation. The ensemble average response of the system is calculated, and the uncertainty is confined and treated in the SEA subsystems. The use of FS-FEM softens' the well-known overly stiff' behaviour in the standard FEM and reduces the inherent numerical dispersion error. The proposed FS-FEM/SEA approach is verified and its features are examined by various numerical examples. Copyright (c) 2015 John Wiley & Sons, Ltd.
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