Abstract
The acoustic behavior of double-walled laminated composite panels consisting of two porous and air gap middle layers is studied within the classical laminated plate theory (CLPT). Thus, viscous and inertia coupling in a dynamic equation, as well as stress transfer, thermal and elastic coupling of porous material are based on the Biot theory. In addition, the wave equations are extracted according to the vibration equation of composite layers. The transmission loss (TL) of the structure is then calculated by solving these equations simultaneously. Statistical energy analysis (SEA) is developed to divide the structure into specific subsystems, and power transmission is extracted with balancing power flow equations of the subsystems. Comparison between the present work and the results reported elsewhere shows excellent agreement. The results also indicate that, although favorable enhancement is seen in noise control particularly at high frequencies, the corresponding parameters associated with fluid phase and solid phase of the porous layer are important on TL according to the boundary condition interfaces. Finally, the influence of composite material and stacking sequence on power transmission is discussed.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Biot, M. A. Theory of propagation of elastic waves in a fluid-structural porous solid I: low frequency range. The Journal of the Acoustical Society of America, 28(2), 168–178 (1956)
Bolton, J. S. and Green, E. R. Normal incidence sound transmission through double-panel systems lined with relatively stiff, reticulated polyurethane foam. Applied Acoustics, 39(1), 23–51 (1993)
Bolton, J. S., Heng, Y. L., Katragadda, S., and Alexander, J. H. Layered fibrous treatment for a sound absorption and transmission control. SAE 971878, 2576–2590 (1997)
Bolton, J. S., Shiau, N. M., and Kang, Y. J. Sound transmission through multi-panel structures lined with elastic porous materials. Journal of Sound and Vibration, 191(3), 317–347 (1996)
Allard, J. F. and Atalla, N. Propagation of Sound in Porous Media: Modeling Sound Absorbing Materials, Elsevier Applied Science, New York (2009)
Cimerman, B., Bremner, P., Yang, Q., and van Buskirk, J. A. Incorporating layered acoustic trim materials in body structural-acoustic models. SAE 951307, 2289–2294 (1995)
Zeng, X., Woo, J., and Tang, H. The effects of laminated steel body panels on vehicle interior noise. Proceedings of the Second International Auto SEA Users Conference, Michigan, U. S.A. (2002)
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(1), 15–29 (2004)
Onsay, T. Use of SEA in a car program. SAE Noise and Vibration Conference, U. S.A. (2007)
Ghosh, A. K., Williams, A. D., Zucker, J. M., Mathews, J. L., and Spinhirne, N. An experimental investigation into the acoustic characteristics of fluid-filled porous structures—a simplified model of the human skull cancellous structure. Experimental mechanics, 48(2), 139–152 (2008)
Xin, F., Lu, T., and Chen, C. Vibroacoustic behavior of clamp mounted double-panel partition with enclosure air cavity. The Journal of the Acoustical Society of America, 124(6), 3604–3612 (2008)
Xin, F. and Lu, T. Transmission loss of orthogonally rib-stiffened double-panel structures with cavity absorption. The Journal of the Acoustical Society of America, 129(4), 1919–1934 (2011)
Daneshjou, K., Ramezani, H., and Talebitooti, R. Wave transmission through laminated composite double-walled cylindrical shell lined with porous materials. Appl. Math. Mech. -Engl. Ed., 32(6), 701–718 (2011) DOI 10.1007/s10483-011-1450-9
Lee, J. H. and Kim, J. Simplified method to solve sound transmission through structures lined with elastic porous material. The Journal of the Acoustical Society of America, 110(5), 2282–2294 (2001)
Reddy, J. N. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, Boca Raton (2004)
Pierce, A. D. Acoustics, McGraw Hill, New York (1981)
Mulholland, K. A., Parbrook, H. D., and Cummings, A. The transmission loss of double panels. Journal of Sound and Vibration, 6(3), 324–334 (1967)
ESI Group. AutoSEA2 User’s Guide, Vibro-Acoustic Sciences, San Diego (2004)
Craik, R. J. M. Non-resonant sound transmission through double walls using statistical energy analysis. Applied Acoustics, 64(3), 325–341 (2003)
Moore, J. A. and Lyon, R. H. Sound transmission loss characteristics of finite sandwich panel constructions. The Journal of Acoustic Society of America, 89(2), 777–791 (1991)
Cremer, L., Heckl, M., and Ungar, E. Structure-Borne Sound, Springer Verlag, Berlin (1988)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shojaeifard, M.H., Talebitooti, R., Ranjbar, B. et al. Power transmission through double-walled laminated composite panels considering porous layer-air gap insulation. Appl. Math. Mech.-Engl. Ed. 35, 1447–1466 (2014). https://doi.org/10.1007/s10483-014-1877-7
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10483-014-1877-7
Key words
- laminated composite plate
- double panel
- sound transmission loss
- porous material
- statistical energy analysis (SEA)