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Structural Source Identification from Acoustic Measurements Using an Energetic Approach

Published online by Cambridge University Press:  15 May 2017

A. Samet ,
M. A. Ben Souf ,
O. Bareille ,
M. N. Ichchou ,
T. Fakhfakh  and
M. Haddar
A. Samet
Affiliation:
Laboratoire de Tribologie et Dynamique des Systèmes (LTDS)Ecole Centrale LyonLyon, France Mechanics, Modelling and Production Laboratory (LA2MP)Ecole Nationale d'Ingénieurs de SfaxSfax, Tunisie
M. A. Ben Souf*
Affiliation:
Laboratoire de Tribologie et Dynamique des Systèmes (LTDS)Ecole Centrale LyonLyon, France Mechanics, Modelling and Production Laboratory (LA2MP)Ecole Nationale d'Ingénieurs de SfaxSfax, Tunisie
O. Bareille
Affiliation:
Laboratoire de Tribologie et Dynamique des Systèmes (LTDS)Ecole Centrale LyonLyon, France
M. N. Ichchou
Affiliation:
Laboratoire de Tribologie et Dynamique des Systèmes (LTDS)Ecole Centrale LyonLyon, France
T. Fakhfakh
Affiliation:
Mechanics, Modelling and Production Laboratory (LA2MP)Ecole Nationale d'Ingénieurs de SfaxSfax, Tunisie
M. Haddar
Affiliation:
Mechanics, Modelling and Production Laboratory (LA2MP)Ecole Nationale d'Ingénieurs de SfaxSfax, Tunisie
*
*Corresponding author ([email protected])
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Abstract

An inverse energy method for the identification of the structural force in high frequency ranges from radiated noise measurements is presented in this paper. The radiation of acoustic energy of the structure coupled to an acoustic cavity is treated using an energetic method called the simplified energy method. The main novelty of this paper consists in using the same energy method to solve inverse structural problem. It consists of localization and quantification of the vibration source through the knowledge of acoustic energy density. Numerical test cases with different measurement points are used for validation purpose. The numerical results show that the proposed method has an excellent performance in detecting the structural force with a few acoustical measurements.

Keywords

Source localizationInverse simplified energy methodInverse problemHigh frequencies
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 4 , August 2018 , pp. 431 - 441
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

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References

1. Wang, Y. Q., Huang, X. B. and Li, J., “Hydroelastic Dynamic Analysis of Axially Moving Plates in Continuous Hot-Dip Galvanizing Process,” International Journal of Mechanical Sciences, 110, pp. 201–216 (2016).Google Scholar
2. Wang, Y. Q., Xue, S. W., Huang, X. B. and Du, W., “Vibrations of Axially Moving Vertical Rectangular Plates in Contact with Fluid,” International Journal of Structural Stability and Dynamics, 16, 1450092 (2016).Google Scholar
3. Wang, Y., Du, W., Huang, X. and Xue, S., “Study on the Dynamic Behavior of Axially Moving Rectangular Plates Partially Submersed in Fluid,” Acta Mechanica Solida Sinica, 28, pp. 706–721 (2015).Google Scholar
4. Wang, Y. Q., Guo, X. H., Sun, Z. and Li, J., “Stability and Dynamics of Axially Moving Unidirectional Plates Partially Immersed in a Liquid,” International Journal of Structural Stability and Dynamics, 14, 1450010 (2014).Google Scholar
5. Pezerat, C. and Guyader, J. L., “Identification of Vibration Sources,” Applied Acoustics, 61, pp. 309–324 (2000).Google Scholar
6. Pezerat, C. and Guyader, J. L., “Force Analysis Technique Reconstruction of Force Distribution on Plates,” Acoustica united with Acta Acustica, 86, pp. 322–332 (2000).Google Scholar
7. Pezerat, C. and Guyader, J. L., “Two Inverse Methods for Localization of External Sources Exciting a Beam,” Acta Acustica, 3, pp. 1–10 (1995).Google Scholar
8. Pezerat, C. and Guyader, J. L., “Force Analysis Technique: Reconstruction of Force Distribution on Plates,” Acta Acustica, 86, pp. 322–332 (2000).Google Scholar
9. Djamaa, M. C., Ouelaa, N., Pezerat, C. and Guyader, J. L., “Reconstruction of a Distributed Force Applied on a Thin Cylindrical Shell by an Inverse Method and Spatial Filtering,” Journal of Sound and Vibration, 301, pp. 560–575 (2007).Google Scholar
10. Williams, E. G., Maynard, J. D. and Skudrzyk, E., “Sound Source Reconstructions Using a Microphone Array,” Journal of the Acoustical Society of America, 68, pp. 340–344 (1980).Google Scholar
11. Maynard, J. D., Williams, E. G. and Lee, Y., “Near-Field Acoustic Holography: I. Theory of Generalized Holography and the Development of NHA,” Journal of the Acoustical Society of America, 78, pp. 1395–1413 (1985).Google Scholar
12. Pezerat, C., Leclère, Q., Totaro, N. and Pachebat, M., “Identification of Vibration Excitations from Acoustic Measurements Using Near Field Acoustic Holography and the Force Analysis Technique,” Journal of Sound and Vibration, 326, pp. 540–556 (2009).Google Scholar
13. Djamaa, M. C., Ouelaa, N., Pezerat, C. and Guyader, J. L., “Sound Source Localization by an Inverse Method Using the Measured Dynamic Response of a Cylinder,” Applied Acoustics, 88, pp. 22–29 (2015).Google Scholar
14. Ma, C. K., Chang, J. M. and Lin, D. C., “Input Forces Estimation of Beam Structures by an Inverse Method,” Journal of Sound and Vibration, 259, pp. 387–407 (2003).Google Scholar
15. Ji, C. C. and Liang, C., “A Study on an Estimation Method for Applied Force on the Rod,” Computer Methods in Applied Mechanics and Engineering, 190, pp. 1209–1220 (2000).Google Scholar
16. Liu, J. J., Ma, C. K., Kung, I. C. and Lin, D. C., “Input Force Estimation of a Cantilever Plate by Using a System Identification Technique,” Computer Methods in Applied Mechanics and Engineering, 190, pp. 1309–1322 (2000).Google Scholar
17. Baklouti, A., Antunes, J., Debut, V., Fakhkakh, T. and Haddar, M., “An Effective Method for the Identification of Support Features in Multi-Supported Systems,” In Advances in Acoustics and Vibration, Springer International Publishing, pp. 301–312 (2017).Google Scholar
18. Lyon, R. H. and Dejong, R. G., “Theory and Application of Statical Energy Analysis,” Butterworth-Heineman, Oxford (1995).Google Scholar
19. Nefske, D. J. and Sung, S. H., “Power Flow Finite Element Analysis of Dynamic Systems: Basic Theory and Application to Beams,” Journal of Vibration, Acoustics, Stress, and Reliability in Design, 111, pp. 94–100 (1987).Google Scholar
20. Wohlever, J. C. and Bernhard, R. J., “Mechanical Energy Flow Models of Rods and Beams,” Journal of Sound and Vibration, 153, pp. 1–19 (1992).Google Scholar
21. Bouthier, O. M. and Bernhard, R. J., “Simple Models of Energy Flow in Vibrating Membranes,” Journal of Sound and Vibration, 182, pp. 129–147 (1995).Google Scholar
22. Lase, Y., Ichchou, M. N. and Jezequel, L., “Energy Flow Analysis of Bars and Beams: Theoretical Formulations,” Journal of Sound and Vibration, 192, pp. 281–305 (1996).Google Scholar
23. Ichchou, M. N. and Jezequel, L., “Letter to the Editor: Comments on Simple Models of the Energy Flow in Vibrating Membranes and on Simple Models of the Energetics of Transversely Vibrating Plates,” Journal of Sound and Vibration, 195, pp. 679–685 (1996).Google Scholar
24. Ichchou, M. N., Le Bot, A. and Jezequel, L., “A Transient Local Energy Approach as an Alternative to Transient SEA: Wave and Telegraph Equations,” Journal of Sound and Vibration, 246, pp. 829–840 (2001).Google Scholar
25. Hardy, P., Ichchou, M., Jezequel, L. and Trentin, D., “A Hybrid Local Energy Formulation for Plates Mid-Frequency Flexural Vibrations,” European Journal of Mechanics - A/Solids, 28, pp. 121–130 (2009).Google Scholar
26. Besset, S., Ichchou, M. N. and Jezequel, L., “A Coupled BEM and Energy Flow Method for Mid-High Frequency Internal Acoustic,” Journal of Computational Acoustic, 18, pp. 69–85 (2010).Google Scholar
27. Cotoni, V., Le Bot, A. and Jezequel, L., “High Frequency Radiation of L-Shaped Plates by a Local Energy Flow Approach,” Journal of Sound and Vibration, 250, pp. 431–444 (2002).Google Scholar
28. Chachoub, M. A., Basset, S. and Ichchou, M. N., “Structural Sources Identification through an Inverse Mid-High Frequency Energy Method,” Mechanical Systems and Signal Processing, 25, pp. 2948–2961 (2011).Google Scholar
29. Chachoub, M. A., Basset, S. and Ichchou, M. N., “Identification of Acoustic Sources through an Inverse Energy Method,” Inverse Problems in Science and Engineering, 19, pp. 903–919 (2011).Google Scholar
30. Samet, A. et al., “Vibration Sources Identification in Coupled Thin Plates through an Inverse Energy Method,” Applied Acoustic, http://doi.org/10.1016/j.apacoust.2016.12.001 (2017).Google Scholar
31. Ohayonand, R. Soize, C., Structural Acoustics and Vibration: Mechanical Models, Variational Formulations and Discretization, Academic Press, San Diego (1997).Google Scholar
32. Crighton, D. G., “Acoustic Edge Scattering of Elastic Surface Waves,” Journal of Sound and Vibration, 22, pp. 25–32 (1972).Google Scholar