Skip to main content
SpringerLink
Log in

Wave transmission through laminated composite double-walled cylindrical shell lined with porous materials

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

A study on free harmonic wave propagation in a double-walled cylindrical shell, whose walls sandwich a layer of porous materials, is presented within the framework of the classic theory for laminated composite shells. One of the most effective components of the wave propagation through the porous core is estimated with the aid of a flat panel with the same geometrical properties. By considering the effective wave component, the porous layer is modeled as a fluid with equivalent properties. Thus, the model is simplified as a double-walled cylindrical shell trapping the fluid media. Finally, the transmission loss (TL) of the structure is estimated in a broadband frequency, and then the results are compared.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

E :

bulk Young’s modulus

R i :

radius of the inner shell

R e :

radius of the outer shell

c 1 :

speed of the sound in the external medium

c 2 :

speed of the sound in the fluid phase of porous materials

c 3 :

speed of the sound in the cavity medium

h i :

shell wall thickness of the inner shell

h e :

shell wall thickness of the outer shell

n :

circumferential mode number

α ∞ :

tortuosity

δ :

shear modulus of the porous material

ρ 0 :

density of the fluid parts of the porous material

ρ 1 :

bulk density of the solid phase

Λ:

viscous characteristic length

σ r :

flow resistivity

ϕ :

porosity

ξ 1 :

wave number in the external medium

ξ 3 :

wave number in the cavity medium

ξ α , ξ β :

complex wave numbers of the compression wave

ξ 4 :

complex wave number of the shear wave

\(\hat \nu \) :

bulk Poisson’s ratio

\(\hat \eta \) :

loss factor

ς :

ratio of specific heats

References

  1. 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(3–4), 317–347 (1996)

    Article  Google Scholar 

  2. Biot, M. A. Theory of propagation of elastic waves in a fluid-saturated porous solid — I: low-frequency range. Journal of the Acoustical Society of America, 28(2), 168–191 (1956)

    Article  MathSciNet  Google Scholar 

  3. Lee, J. H. and Kim, J. Simplified method to solve sound transmission through structures lined with elastic porous material. Journal of the Acoustical Society of America, 110(5), 2282–2294 (2001)

    Article  Google Scholar 

  4. Hundal, B. S. and Kumar, R. Symmetric wave propagation in a fluid-saturated incompressible porous medium. Journal of Sound and Vibration, 288(1–2), 361–373 (2005)

    Google Scholar 

  5. Koval, L. R. On sound transmission into an orthotropic shell. Journal of Sound and Vibration, 63(1), 51–59 (1979)

    Article  MATH  Google Scholar 

  6. Blaise, A., Lesuer, C., Gotteland, M., and Barbe, M. On sound transmission into an orthotropic infinite shell: comparison with Koval’s results and understanding of phenomena. Journal of Sound and Vibration, 150(2), 233–243 (1991)

    Article  Google Scholar 

  7. Tang, Y. Y., Robinson, J. H., and Silcox, R. J. Sound transmission through a cylindrical sandwich shell with honeycomb core. 34th AIAA Aerospace Science Meeting and Exhibit (AIAA-96-0877), Reno, Nevada, USA, 1, 877–886 (1996)

    Google Scholar 

  8. Liu, B., Feng, L., and Nilsson, A. Influence of overpressure on sound transmission through curved panels. Journal of Sound and Vibration, 302(4–5), 760–776 (2007)

    Article  Google Scholar 

  9. Daneshjou, K., Nouri, A., and Talebitooti, R. Sound transmission through laminated composite cylindrical shells using analytical model. Archive of Applied Mechanics, 77(6), 363–379 (2007)

    Article  MATH  Google Scholar 

  10. Daneshjou, K., Talebitooti, R., and Nouri, A. Analytical model of sound transmission through orthotropic double walled cylindrical shells. CSME Transaction, 32(1), 43–66 (2007)

    Google Scholar 

  11. Daneshjou, K., Nouri, A., and Talebitooti, R. Analytical model of sound transmission through orthotropic cylindrical shells with subsonic external flow. Aerospace Science and Technology, 13(1), 18–26 (2009)

    Article  Google Scholar 

  12. Allard, J. F. Propagation of Sound in Porous Media: Modeling Sound Absorbing Materials, Chapman and Hall, London (1993)

    Google Scholar 

  13. Qatu, M. S. Vibration of Laminated Shells and Plates, Elsevier Academic, Amsterdam (2004)

    Google Scholar 

  14. Leissa, A.W. Vibration of Shells, Scientific and Technical Information Center, NASA, Washington, D. C. (1973)

    Google Scholar 

  15. Pierce, A. D. Acoustics, McGraw-Hill, New York (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, 16844, Iran

    K. Daneshjou & H. Ramezani

  2. Department of Automotive Engineering, Iran University of Science and Technology, Tehran, 16844, Iran

    R. Talebitooti

Authors
  1. K. Daneshjou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Ramezani
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. Talebitooti
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R. Talebitooti.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Daneshjou, K., Ramezani, H. & Talebitooti, R. Wave transmission through laminated composite double-walled cylindrical shell lined with porous materials. Appl. Math. Mech.-Engl. Ed. 32, 701–718 (2011). https://doi.org/10.1007/s10483-011-1450-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-011-1450-9

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

Search

Navigation