Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-24T22:29:30.918Z Has data issue: false hasContentIssue false
  • English
  • Français

Application of Biot Theory in Analyzing the Sound Insulation Characteristic of Honeycomb Sandwich Panels

Published online by Cambridge University Press:  05 May 2011

C.-N. Wang ,
M.-J. Tang  and
C.-C. Tse
C.-N. Wang*
Affiliation:
Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
M.-J. Tang*
Affiliation:
Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
C.-C. Tse*
Affiliation:
Department of Engineering Science and Ocean Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Professor
**Graduate student
*Professor
Get access

Abstract

The purpose of this paper is to apply Biot theory on analyzing honeycomb core to investigate the sound insulation characteristics of honeycomb sandwich panels. At first, the honeycomb core was regarded as a porous material and the sandwich panel is made of layered media. Thus Biot theory developed for fluid saturated porous material is adopted to analyze the waves propagated in honeycomb core. Then the transfer matrix for waves propagated between two ends of each panel is established. The combination of these related matrices can be conducted on evaluating the sound propagation characteristic in the layered media. The comparison of the transmission loss between the available experimental measurements and numerical predictions shows that the present method is reliable. With the present method, the numerical results reveal that the coincident frequency decreases apparently as the thickness of core increases. Therefore, the transmission loss is also increased in the analyzed frequency range. Further, the effect of core density and cell size are also investigated.

Keywords

AcousticsHoneycomb panelTransfer matrixSound insulation.
Type
Articles
Information
Journal of Mechanics , Volume 23 , Issue 1 , March 2007 , pp. 23 - 29
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2007

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.Kurtze, G. and Watters, B. G., “New Wall Design for High Transmission Loss or High Damping,” J. Acoust. Soc.Am., 31, pp. 739–748 (1959).CrossRefGoogle Scholar
2.Ford, R. D., Lord, P. and Walker, A. W., “Sound Transmission Through Sandwich Constructions,” J. Sound and Vibration, 5(1), pp. 9–21 (1967).CrossRefGoogle Scholar
3.Dym, C. L. and Lang, M. A., “Transmission of Sound Through Sandwich Panels,” J. Acoust. Soc. Am., 56, pp. 1523–1532 (1974).CrossRefGoogle Scholar
4.Lang, M. A. and Dym, C. L., “Optimal Acoustic Design of Sandwich Panels,” J. Acoust. Soc. Am., 57, pp. 1481–1487(1975).CrossRefGoogle Scholar
5.Moore, J. A., “Sound Transmission Loss Characteristics of Three Layer Composite Wall Constructions,” Ph.D. Dissertation, MIT (1975).Google Scholar
6.Thamburaj, P. and Sun, J. Q., “Effect of Material Anisotropic on the Sound and Vibration Transmission Loss of Sandwich Aircraft Structures,” J. Sandwich Structure and Material, pp. 76–92 (1999).CrossRefGoogle Scholar
7.Thamburaj, P. and Sun, J. Q., “Effect of Material and Geometry on Sound and Vibration Transmission Across a Sandwich Beam,” J. Vib. Acoust., 123, pp. 205–212 (2001).CrossRefGoogle Scholar
8.Wang, T., Sokolinsky, V. S., Rajaram, S. and Nutt, S. R., “Assessment of Sandwich Models for the Prediction of Sound Transmission Loss in Unidirectional Sandwich Panels,” Applied Acoustics, 6, pp. 245–262 (2005).CrossRefGoogle Scholar
9.Sokolinsky, V. S. and Nutt, S. R., “Consistent Higher-Order Dynamic Equations for Soft-Core Sandwich Beams,” AIAA Journal, 42(2), pp. 374–382 (2004).CrossRefGoogle Scholar
10.Jensen, A. E. and Irgens, A. F., “Thickness Vibrations of Sandwich Plates and Beams and Delamination Detection,” J. Intelligent Material Systems and Structures, 10, pp. 46–55 (1999).CrossRefGoogle Scholar
11.Biot, M. A., “The Theory of Propagation of Elastic Waves in a Fluid Saturated Porous Solid, I.Low Frequency Range, II. Higher Frequency Range,” J. Acoust. Soc. Am., 28, pp. 168–191 (1956).CrossRefGoogle Scholar
12.Brouard, B., Laforge, D. and Allard, J. F., “A General Method of Modeling Sound Propagation in Layered Media,” J. Sound and Vibration, 183(1), pp. 129–142 (1995).CrossRefGoogle Scholar
13.Allard, J. F., Propagation of Sound in Porous Media: Modelling Sound Absorbing Materials, Elsevier Applied Science, New York (1993).CrossRefGoogle Scholar
14.Stinson, M. R., “The Propagation of Plane Sound Wave in Narrow and Wide Circular Shape,” J. Acoust. Soc. Am., 89, pp. 550–558(1991).CrossRefGoogle Scholar
15.Torquato, S., Gibiansky, L. V., Silva, M. J. and Gibson, L. J., “Effective Mechanical and Transport Properties of Celluar Solids,” Int. J. Mech. Sci., 40(1), pp. 71–82 (1998).CrossRefGoogle Scholar
16.Juan, C. F. and Wang, C. N., “Sound Insulation Characteristics of Panels Lined with Porous Material,” Journal of Taiwan Society of Naval Architects and Marine Engineers, 23(2), pp. 67–73 (2004).Google Scholar
17.Huang, W. C. and Ug, C. F., “Sound Insulation Improving Using Honeycomb Sandwich Panels,” Applied Acoustics, 55, pp. 163–177 (1998).Google Scholar
18.Beranek, L. L., Noise and Vibration Control, McGraw-Hill, Inc., New York (1971).Google Scholar
19.Ting, T. C. T., “Explicit Expression of the Stationary Values of Young's Modulus and the Shear Modulus for Anisotropic Elastic Materials,” Journal of Mechanics, 21, pp. 255–266(2005).CrossRefGoogle Scholar