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Identification of Adhesive Bond in A Multi-Layered Structure Via Sound Insulation Characterestics

  • S. Malakooti (a1), N. Mohammadi (a1), M. J. Mahjoob (a1) and K. Mohammadi (a2)


In this paper, adhesive bonds in multi-layered plates are identified based on experimental values of their sound insulation characteristics. An exact model based on two-dimensional elasticity theory is formulated. The problem is a time harmonic plane acoustic progressive wave interaction with an isotropic multi-layered infinite elastic plate with interlaminar bonding imperfections. The T-matrix solution technique, which involves a system global transfer matrix, is formed as the product of individual transfer matrices. This is accomplished by applying continuity of the displacement and stress components at the interfaces of neighboring layers along with the relevant boundary conditions at the left and right interfaces of the plate with the surrounding acoustic fluid (air). The resulting equations are then solved for the unknown plane wave reflection and transmission coefficients. The experimental values of sound transmission loss (TL) are measured by a modified B&K impedance tube. Results are presented for a double-layered (lead-steel) plate while the layers are bonded together with metal glue. The normal and transverse adhesive spring constants of the metal glue are then identified in an inverse manner. The agreement of experiments with the analytical TL values predicted for a new triple-layered plate (based on the identified bond properties) confirms the validity of the method.


Corresponding author

*Research fellow (M.Sc), corresponding author
**Research fellow (Ph.D.)
***Associate Professor


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1.Chonan, S. and Kugo, Y., “Acoustic Characteristics and the Design of Two-Layered Soundproof Plates,” Journal of Sound and Vibration, 129, pp. 501511 (1989).
2.Chonan, S. and Kugo, Y., “Acoustic Design of a Three-Layered Plate with High Sound Interception,” Journal of the Acoustical Society of America, 89, pp. 792798 (1991).
3.Sastry, J. S. and Munjal, M. L., “A transfer Matrix Approach for Evaluation of the Response of a Multi-Layer Infinite Plate to a Two-Dimensional Pressure Excitation,” Journal of Sound and Vibration, 182, pp. 109128 (1995).
4.Cai, C., Liu, G. R. and Lam, K. Y., “An Exact Method for Analyzing Sound Reflection and Transmission by Anisotropic Laminates Submerged In Fluids,” Applied Acoustics, 61, pp. 95109 (2000).
5.Kang, H. J., Ih, J. G., Kim, J. S. and Kim, H. S., “Prediction of Sound Transmission Loss Through Multilayered Panels by Using Gaussian Distribution of Directional Incident Energy,” Journal of the Acoustical Society of America, 107, pp. 14131420 (2000).
6.Lin, H. J., Wang, C. N. and Kuo, Y. M., “Sound Transmission Loss Across Specially Orthotropic Laminates,” Applied Acoustics, 68, pp. 11771191 (2007).
7.Tadeu, A., Pereira, A., Godinho, L. and Antonio, J., “Prediction of Airborne Sound and Impact Sound Insulation Provided by Single and Multilayer Systems Using Analytical Expressions,” Applied Acoustics, 68, pp. 1742 (2007).
8.Craik, R. J. M. and Smith, R S., “Sound Transmission Through Double Leaf Lightweight Partitions. Part I: Airborne Sound,” Applied Acoustics, 61, pp. 223245 (2000).
9.Craik, R. J. M. and Smith, R S., “Sound Transmission Through Lightweight Parallel Plates. Part II: Structure-Borne Sound,” Applied Acoustics, 61, pp. 247269 (2000).
10.Tadeu, A. J. B. and Mateus, D. M. R., “Sound Transmission Through Single, Double and Triple Glazing: Experimental Evaluation,” Applied Acoustics, 62, pp. 307325 (2001).
11.Tadeu, A., Antonio, J. and Mateus, D., “Sound Insulation Provided by Single and Double Panel Walls—A Comparison of Analytical Solutions Versus Experimental Results,” Applied Acoustics, 65, pp. 1529 (2004).
12.Chazot, J. D. and Guyader, J. L., “Prediction of Transmission Loss of Double Panels with a Patch-Mobility Method,” Journal of the Acoustical Society of America, 111, pp. 267278 (2007).
13.Heller, K., Jacobs, L. J. and Qu, J., “Characterization of Adhesive Bond Properties Using Lamb Waves,” NDT and E International, 33, pp. 555563 (2000).
14.Koreck, J., Valle, C., Qu, J. and Jacobs, L. J., “Computational Characterization of Adhesive Layer Properties Using Guided Waves in Bonded Plates,” Journal of Nondestructive Evaluation, 26, pp. 97105 (2007).
15.Scala, C. M. and Doyle, P. A., “Ultrasonic Leaky Interface Waves for Composite-Metal Adhesive Bond Characterization,” Journal of Nondestructive Evaluation, 14, pp. 4959 (1995).
16.Hosseinzadeh, R., Shahin, K. and Taheri, F., “A simple Approach for Characterizing the Performance of Metallic Tubular Adhesively-Bonded Joints Under Torsion Loading,” Journal of Adhesion Science and Technology, 21, pp. 16131631 (2007).
17.Wang, H., Qian, M. L. and Liu, W., “Laser Ultrasonic Characterization of Adhesive Bonds Between Epoxy Coating and Aluminum Substrate,” Ultrasonics, 44, pp. 13491353 (2006).
18.Ince, R., Thompson, G. E. and Dewhurst, R. J., “Characterization of Adhesive Bonds from Inspection by Laser-Generated Ultrasound,” Journal of Adhesion, 42, pp. 135159(1993).
19.Rokhlin, S. I., Xie, B. and Baltazar, A., “Quantitative Ultrasonic Characterization of Environmental Degradation of Adhesive Bonds,” Journal of Adhesion Science and Technology, 18, pp. 327359 (2004).
20.Lowe, M. J. S. and Cawley, P., “Applicability of Plate Wave Techniques for the Inspection of Adhesive and Diffusion Bonded Joints,” Journal of Nondestructive Evaluation, 13, pp. 185200 (1994).
21.Mahjoob, M. J., Mohammadi, N. and Malakooti, S., “An Investigation Into the Acoustic Insulation of Triple-Layered,” Applied Acoustics, 70, pp. 165171 (2009).
22.Mohammadi, N. and Mahjoob, M. J., “Transmission Loss of Multilayer Panels Containing a Fluid Using Progressive Wave Model: Comparison with Impedance Progressive Model and Experiments,” Comptes Rendus Mecanique, 337, pp. 198207 (2009).
23.Pierce, A. D., Acoustics; An Introduction to its Physical Principles and Applications, American Institute of Physics, New York (1991).
24.Graff, K. F., Wave Motion in Elastic Solids, Ohio State University Press, Columbus, OH (1975).
25.Nayfeh, A. H. and Nagy, P. B., “General Study of Axisymmetric Waves in Layered Anisotropic Fibers and Their Composites,” Journal of the Acoustical Society of America, 99, pp. 931941 (1996).
26.Honarvar, F. and Sinclair, A. N., “Nondestructive Evaluation of Cylindrical Components by Resonance Acoustic Spectroscopy,” Ultrasonics, 36, pp. 845854 (1998).
27.Martin, P. A., “Boundary Integral Equations for the Scattering of Elastic Waves by Elastic Inclusions with Thin Interface Layers,” Journal of Nondestructive Evaluation, 11, pp. 167174 (1992).
28.Huang, W.Rokhlin, S. I. and Wang, Y. J., “Analysis of Different Boundary Condition Models for Study of Wave Scattering from Fiber—Matrix Interphases,” Journal of the Acoustical Society of America, 101, pp. 20312042 (1997).
29.Liu, D., Xu, L. and Lu, X., “Stress Analysis of Imperfect Composite Laminates with an Interlaminar Bonding Theory,” International Journal for Numerical Method in Engineering, 37, pp. 28192839 (1994).
30.Hashin, Z., “The Spherical Inclusion with Imperfect Interface,” Journal of Applied Mechanics, 58, pp. 444449 (1991).
31.Fahy, F., Foundations of Engineering Acoustics, Academic Press, Great Britain (2001).
32.Vlasie, V., Barros, S., Rousseau, M., Champaney, L., Duflo, H. and Morvan, B., “Mechanical and Acoustical Study of a Structural Bond: Comparison Theory/Numerical Simulations/Experiment,” European Journal of Mechanics A/Solids, 25, pp. 464482 (2006).


Identification of Adhesive Bond in A Multi-Layered Structure Via Sound Insulation Characterestics

  • S. Malakooti (a1), N. Mohammadi (a1), M. J. Mahjoob (a1) and K. Mohammadi (a2)


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