This paper presents a modal approach to calculate the acoustic normal modes in complex ducts. In this study, the component modal synthesis (CMS) method in two dimensions for application in large duct with acoustic propagation in order to obtain a reduced acoustic model will be developed. The proposed technique is based on division of the acoustic system in well-known modal model subdomains and uses a CMS procedure to obtain a reduced acoustic modal model of the large system. In this paper, the applicability of the CMS Craig-Chang's method was adapted for acoustics CMS, considering only acoustic fluid interaction. In the modal synthesis technique developed originally for structural purpose, displacements and forces were coupled at the boundary of the substructures by dynamic constraint equations. The methodology developed here is based on residual flexibility, using residual inertia relief attachment modes in place of simply residual attachment modes to couple sound pressure and flow rates at the substructures interfaces. The approach leads to a versatile method with a low computational cost. To validate the proposed CMS approach, comparison with acoustic ducts models using finite element methodology (FEM) and analytical solutions were made. The differences between the analytical and numerical results as well as the limitations and advantages of each method were discussed.
Component Mode Synthesis Method Applied to Two-Dimensional Acoustic Analysis in Ducts
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATIONAND ACOUSTICS. Manuscript received January 10, 2012; final manuscript received May 28, 2012; published online February 4, 2013. Assoc. Editor: Lonny Thompson.
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Araújo Nunes, M. A. D., and Viana Duarte, M. A. (February 4, 2013). "Component Mode Synthesis Method Applied to Two-Dimensional Acoustic Analysis in Ducts." ASME. J. Vib. Acoust. February 2013; 135(1): 011016. https://doi.org/10.1115/1.4007243
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