This paper addresses the problem of reproducing a random pressure field with an array of loudspeakers through direct field acoustic tests. Such field should be representative of the fairing interior acoustic levels generated by the dynamic loading during the launch of a spacecraft. The replication of the acoustic field with loudspeakers is highly dependent on the control strategy used to design the test setup and the signals feeding the acoustic sources. In this paper, functional analysis and spectral decomposition theories are used to study the benefit of applying pre-test analysis to set the most optimal control parameters. This paper builds on previous works and assesses the performance of a methodology for frequency dependent distribution of control sensors, which are selected automatically through numerical pre-test analysis. The methodology is evaluated through a numerical model of a direct field acoustic test setup.
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Schultz, T.J.: Diffusion in reverberation rooms. J. Sound Vib. 16, 17–28 (1971)
Jacobsen, F., Roisin, T.: The coherence of reverberant sound fields. J. Acoust. Soc. Am. 108, 204–210 (2000)
Veit, I., Sander, H.: The production of a spatially limited’diffuse’sound field in an anechoic room. In: Audio Engineering Society Convention 77. Audio Engineering Society, (1985)
Nelisse, H., Jean, N.: Characterization of a diffuse field in a reverberant room. J. Acoust. Soc. Am. 101, 3517–3524 (1997)
Cron, B.F., Sherman, C.H.: Spatial-correlation functions for various noise models. J. Acoust. Soc. Am. 34(11), 1732–1736 (1962)
Elliott, S.J., Cedric, M., Gardonio, P.: The synthesis of spatially correlated random pressure fields. J. Acoust. Soc. Am. 117, 1186–1201 (2005)
Alvarez Blanco, M., Matas, E., Hallez, R., Janssens, K.: Towards a simulation-based digital twin for pre-test analysis on direct field environmental acoustic testing. In: 31st Aerospace Testing Seminar. (2018)
Fabries, C., Brevart, B., Carrella, A., Alvarez Blanco, M., Dal Fitto, D., Scharfenberg, S.: Experimental validation of direct field acoustic testing. In: 14th European Conf. on Spacecraft Structures, Materials and Environmental Testing, (2016)
Alvarez Blanco, M., Carrella, A., Janssens, K., Peeters, B.: Pre-test analysis for design of MIMO control strategies on DFAX. In: 15th European Conference on Spacecraft Structures, Materials and Environmental Testing. (2018)
Alvarez Blanco, M. Hallez, R., Janssens, K., Bianciardi, F., Carrella, A.: Simulation and validation of a mimo direct field acoustic control system for acoustic qualification tests. In: 30th Aerospace Testing Seminar. (2017)
Fazi, F.M.: PhD Dissertation. Southampton University, Sound field reproduction (2010)
Colton, D., Kress, R.: Integral equation methods in scattering theory, vol. 72. SIAM (2013)
Higgins, J.R.: Sampling theory in Fourier and signal analysis: foundations. Oxford University Press, Oxford (1996)
Marvasti, F.: Nonuniform sampling: theory and practice. Springer, Berlin (2012)
Bériot, H., Prinn, A., Gabard, G.: Efficient implementation of high-order finite elements for helmholtz problems. Int. J. Num. Methods Eng. 106(3), 213–240 (2016)
Smallwood, D. O.: Multiple shaker random control with cross coupling. In: Combined Environments: Technology Interrelations. pp. 341–347, (1978)
Peeters, B., Debille, J.: Multiple-input-multiple-output random vibration control: theory and practice. In: Proceedings of ISMA 2002: International Conference On Noise And Vibration Engineering. 1-5:507–516. Katholieke Univ Leuven, Dept Werktuigkunde, (2002)
Elliott, S.J.: Signal Processing Active Control. Elsevier, Amsterdam (2000)
Poletti, M.A.: Three-dimensional surround sound systems based on spherical harmonics. J. Audio Eng. Soc. 53(11), 1004–1025 (2005)
Heylen, W., Lammens, S., Sas, P.: Modal Analysis Theory and Testing. Katholieke Universiteit Leuven, Department of Mechanical Engineering, Leuven, (2013)
Alvarez Blanco, M., Janssens, K., Bianciardi, F: Projection algorithms for target spectrum matrix definition in mimo direct field acoustic control. In: 22nd Int. Congress on Acoustics. (2016)
Alvarez Blanco, M., Janssens, K., Bianciardi, F.: Experimental verification of projection algorithms and optimization routines for acoustic field uniformity enhancement in mimo direct field acoustic control. In: ISMA Int. Conf. on Noise and Vibration Engineering. (2016)
The authors gratefully acknowledge the European Commission for its support of the Marie Skodowska-Curie program through the ITN ANTARES project (GA 606817) in collaboration with Siemens Digital Industries Software and KU Leuven. A special thank you also to Thales Alenia Space (France) for kindly providing the structural model of the antenna reflector.
The research was partially funded by the Marie Skodowska-Curie program through the ITN ANTARES project (GA 606817).
Conflict of interest
The authors declare that they have no conflict of interest.
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Alvarez Blanco, M., Matas, E., Bériot, H. et al. Frequency dependent selection of control sensors in multi-channel acoustic control. CEAS Space J 13, 119–131 (2021). https://doi.org/10.1007/s12567-020-00329-1
- Environmental testing
- Acoustic simulation
- Direct field
- MIMO control
- Digital twin