Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-11T02:49:47.016Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  05 May 2011

S. Malakooti ,
N. Mohammadi ,
M. J. Mahjoob  and
K. Mohammadi
S. Malakooti*
Affiliation:
Noise, Vibration and Acoustics Research Center, School of Mechanical Engineering, University of Tehran, Tehran, Iran
N. Mohammadi*
Affiliation:
Noise, Vibration and Acoustics Research Center, School of Mechanical Engineering, University of Tehran, Tehran, Iran
M. J. Mahjoob*
Affiliation:
Noise, Vibration and Acoustics Research Center, School of Mechanical Engineering, University of Tehran, Tehran, Iran
K. Mohammadi*
Affiliation:
School of Civil Engineering, University of Tehran, Tehran, Iran
*
*Research fellow (M.Sc), corresponding author
**Research fellow (Ph.D.)
***Associate Professor
****M.Sc.
Get access

Abstract

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.

Keywords

Adhesive bond identificationSound insulationTransmission lossImpedance tubeMulti-layered plate.
Type
Articles
Information
Journal of Mechanics , Volume 26 , Issue 3 , September 2010 , pp. 363 - 372
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Chonan, S. and Kugo, Y., “Acoustic Characteristics and the Design of Two-Layered Soundproof Plates,” Journal of Sound and Vibration, 129, pp. 501–511 (1989).CrossRefGoogle Scholar
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. 792–798 (1991).CrossRefGoogle Scholar
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. 109–128 (1995).CrossRefGoogle Scholar
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. 95–109 (2000).CrossRefGoogle Scholar
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. 1413–1420 (2000).CrossRefGoogle Scholar
6.Lin, H. J., Wang, C. N. and Kuo, Y. M., “Sound Transmission Loss Across Specially Orthotropic Laminates,” Applied Acoustics, 68, pp. 1177–1191 (2007).CrossRefGoogle Scholar
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. 17–42 (2007).CrossRefGoogle Scholar
8.Craik, R. J. M. and Smith, R S., “Sound Transmission Through Double Leaf Lightweight Partitions. Part I: Airborne Sound,” Applied Acoustics, 61, pp. 223–245 (2000).CrossRefGoogle Scholar
9.Craik, R. J. M. and Smith, R S., “Sound Transmission Through Lightweight Parallel Plates. Part II: Structure-Borne Sound,” Applied Acoustics, 61, pp. 247–269 (2000).CrossRefGoogle Scholar
10.Tadeu, A. J. B. and Mateus, D. M. R., “Sound Transmission Through Single, Double and Triple Glazing: Experimental Evaluation,” Applied Acoustics, 62, pp. 307–325 (2001).CrossRefGoogle Scholar
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. 15–29 (2004).CrossRefGoogle Scholar
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. 267–278 (2007).CrossRefGoogle Scholar
13.Heller, K., Jacobs, L. J. and Qu, J., “Characterization of Adhesive Bond Properties Using Lamb Waves,” NDT and E International, 33, pp. 555–563 (2000).CrossRefGoogle Scholar
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. 97–105 (2007).CrossRefGoogle Scholar
15.Scala, C. M. and Doyle, P. A., “Ultrasonic Leaky Interface Waves for Composite-Metal Adhesive Bond Characterization,” Journal of Nondestructive Evaluation, 14, pp. 49–59 (1995).CrossRefGoogle Scholar
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. 1613–1631 (2007).CrossRefGoogle Scholar
17.Wang, H., Qian, M. L. and Liu, W., “Laser Ultrasonic Characterization of Adhesive Bonds Between Epoxy Coating and Aluminum Substrate,” Ultrasonics, 44, pp. 1349–1353 (2006).CrossRefGoogle Scholar
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. 135–159(1993).CrossRefGoogle Scholar
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. 327–359 (2004).CrossRefGoogle Scholar
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. 185–200 (1994).CrossRefGoogle Scholar
21.Mahjoob, M. J., Mohammadi, N. and Malakooti, S., “An Investigation Into the Acoustic Insulation of Triple-Layered,” Applied Acoustics, 70, pp. 165–171 (2009).CrossRefGoogle Scholar
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. 198–207 (2009).CrossRefGoogle Scholar
23.Pierce, A. D., Acoustics; An Introduction to its Physical Principles and Applications, American Institute of Physics, New York (1991).Google Scholar
24.Graff, K. F., Wave Motion in Elastic Solids, Ohio State University Press, Columbus, OH (1975).Google Scholar
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. 931–941 (1996).CrossRefGoogle Scholar
26.Honarvar, F. and Sinclair, A. N., “Nondestructive Evaluation of Cylindrical Components by Resonance Acoustic Spectroscopy,” Ultrasonics, 36, pp. 845–854 (1998).CrossRefGoogle Scholar
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. 167–174 (1992).CrossRefGoogle Scholar
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. 2031–2042 (1997).CrossRefGoogle Scholar
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. 2819–2839 (1994).CrossRefGoogle Scholar
30.Hashin, Z., “The Spherical Inclusion with Imperfect Interface,” Journal of Applied Mechanics, 58, pp. 444–449 (1991).CrossRefGoogle Scholar
31.Fahy, F., Foundations of Engineering Acoustics, Academic Press, Great Britain (2001).Google Scholar
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. 464–482 (2006).CrossRefGoogle Scholar