Abstract
The acoustic design of cavities is an important task in a variety of engineering applications, from automotive or aerospace industries to equipment coating designs. In this work, the acoustic impedance functions (a frequency domain model) were calculated using analytical, numerical, and experimental methods. Those different approaches were presented in a unified manner in order to allow comparisons among them. The relationship of the impedance function and a classical frequency response function (FRF) was also established. A circular duct of rigid walls was assumed with different boundary conditions as closed end, as well as opened and absorbed extremities. Three duct configurations were implemented in order to compare analytical, numerical, and experimental results. Finally, it could be possible to evaluate some aspects that are characteristic of a large range of acoustic systems applications as the existence of complex modes and frequency-dependent behavior of absorption material. This study aims the usage of the impedance functions to analyze the acoustic behavior of cavities, as well as to compose the background in order to develop, in the future, an acoustic modeling process using impedance functions.
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References
Wyckaert K, Augusztinovicz F, Sas P (1995) Vibro-acoustical modal analysis: reciprocity, model symmetry, and model validity. J Acoust Soc Am 100(5):3172–3181
Augusztinovicz F et al. (1992) Analytical and experimental study of complex modes in acoustical systems, In: Proceedings of the 10th international modal analysis conference, San Diego, pp 110–116
Hickling R et al. (1983) Cavity resonances in engine combustion chambers and some applications. J Acoust Soc Am 73(4):1170–1178
Laudien E, Pongratz R, Pierro R, Preclik D (1994) Experimental procedures aiding the design of acoustic cavities, DASA- Deutsche aerospace AG, liquid rocket engine combustion instability, In: Progress in astronautics and aeronautics, chapter 14, vol 169
Guimaraes GP, Pirk R, Souto CD, Rett SR, Goes LCS (2012) Acoustic modes attenuation on rocket engines using Helmholtz resonators: experimental validation, In: Proceedings of The 15th international conference on experimental mechanics, Porto, pp 3160–3167
Klaus TB et al. (2012) Noise reduction of a sound field inside a cavity due to an adaptive Helmholtz resonator, In: Proceedings of the 2012 international conference on noise and vibration engineering—ISMA2012, Leuven, pp 489–504
Pik R, Souto CA, Silveira DD, Souza CM, Góes LCS (2010) Liquid rocket combustion chamber acoustic characterization. J Aerosp Technol Manag 2(3):269–278
Howard CQ, Hansens CH, Zander A (2005) Vibro-acoustic noise control treatments of payload bays of launch vehicles: discrete to fuzzy solutions. Appl Acoust 66(11):1235–1261
Ewins DJ (2000) Modal testing: theory, practice and application, 2nd edn. Research Studies Press, Hertfordshire
Fahy F (2001) Fundamentals of engineering acoustics. Academic Press, London
Augusztinovicz F (2012) Acoustic modal analysis. Course on advanced techniques in applied and numerical acoustics: ISAAC23, Leuven
Nieter JJ, Singh R (1982) Acoustic modal analysis experiment. J Acoust Soc Am 72(2):319–326
Guimarães GP, Pirk R, Souto CA, Góes LCS (2011) Acoustic modal analysis of cylindrical-type cavities, In: Proceedings of the 8th international conference on structural dynamics—EURODYN, Leuven, pp 3160–3167
Anthony DK, Elliott SJ (1991) A comparison of three methods of measuring the volume velocity of an acoustic source. J Audio Eng Soc 39(5):355–366
Rossetto GD, Arruda JRF, Huallpa BL (2000) Experimental modal analysis of a cavity using a calibrated acoustic actuator, In: Proceeding of the 25th conference on noise and vibration engineering, Leuven, pp 1415–1422
LMS International (2004) E-MHFVVS Mid-high frequency volume acceleration sources (Manual), Leuven
Tijs E, De Bree H-E (2008) Recent developments free Field PU impedance technique. In: Proceedings of The symposium of the acoustics of poro-elastic materials, Bradford
LMS International (2006) Modal analysis user manual. Test.lab rev. 7A, Leuven
Desmet W, Vandepite D (2001) Notes of the GRASMECH course advanced acoustics. Katholieke Universiteit Leuven, Finite Elements on Acoustics
Bendat JS, Piersol AG (2000) Random data: analysis and measurement procedures, 3rd edn. Wiley, Hoboken
International Organization for Standardization. ISO 10534-2: 1998: acoustics: Determination of sound absorption coefficient and impedance in impedance tubes. Part 2: transfer-function method
D’Ambrogio W, Sestieri A (2004) A unified approach to substructuring and structural modification problems. Shock Vib 11(3):295–309
De Klerk D, Rixen DJ, Voormeeren SN (2008) General framework for dynamic substructuring: history, review, and classification of techniques. AIAA J 46(5):1169–1181
Acknowledgments
The authors gratefully acknowledge to the Instituto de Aeronáutica e Espaço (IAE), Instituto Tecnológico de Aeronáutica (ITA) and Universidade Federal de Ouro Preto (UFOP) for the support.
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Technical Editor: Fernando Alves Rochinha.
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Guimarães, G.P., Pirk, R., Souto, C.D. et al. Analysis of the acoustical behavior of cavities using impedance functions. J Braz. Soc. Mech. Sci. Eng. 38, 1103–1111 (2016). https://doi.org/10.1007/s40430-015-0428-z
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DOI: https://doi.org/10.1007/s40430-015-0428-z