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Transmission loss of orthogonally stiffened laminated composite plates

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Abstract

Sound transmission through laminated composite plates reinforced by two sets of orthogonal stiffeners is investigated theoretically. A layerwise shear deformable theory is used to model the vibration of the laminated composite face-panel; A governing equation of I section composite beam is introduced, which accounts for the extensional, flexural, torsional and their coupling effects. The Euler-Bernoulli beam theory and torsional wave equation are employed to describe the flexural and rotational motions of the rib stiffeners, respectively. The technique of Fourier transform is applied to solve the governing equations resulting in infinite sets of simultaneous algebraic coupled equations, which are numerically solved by truncating them into a finite range insofar as the solutions converge. The accuracy of the numerical solutions is checked by comparing the present model predictions with existing literature. The validated model is subsequently employed to quantify the effects of the spacing of the stiffeners and the stacking geometry of the laminated composite face-panel and stiffeners on sound transmission through the structure. It is demonstrated that both the stiffener spacing and the stacking geometry have significant influences on the sound transmission loss across the structure. The proposed theoretical model successfully characterizes the process of sound penetration through stiffened laminated composite plates, which should be much helpful for the practical design of such structures with acoustic requirements.

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References

  1. F. X. Xin and T. J. Lu, Analytical modeling of wave propagation in orthogonally rib-stiffened sandwich structures: Sound radiation, Computers & Structures, 89 (5–6) (2010) 507–16.

    Google Scholar 

  2. D. J. Mead and K. K. Pujara, Space-harmonic analysis of periodically supported beams: response to convected random loading, Journal of Sound and Vibration, 14 (4) (1971) 525–32.

    Article  Google Scholar 

  3. B. R. Mace, Sound radiation from fluid loaded orthogonally stiffened plates, Journal of Sound and Vibration, 79 (3) (1981) 439–52.

    Article  MATH  Google Scholar 

  4. B. R. Mace, Periodically stiffened fluid-loaded plates, I: Response to convected harmonic pressure and free wave propagation, Journal of Sound and Vibration, 73 (4) (1980) 473–86.

    Article  MATH  Google Scholar 

  5. B. R. Mace, Sound radiation from a plate reinforced by two sets of parallel stiffeners, Journal of Sound and Vibration, 71 (3) (1980) 435–41.

    Article  MATH  Google Scholar 

  6. T. R. Lin and J. Pan, A closed form solution for the dynamic response of finite ribbed plates, Journal of the Acoustical Society of America, 119 (2) (2006) 917–25.

    Article  Google Scholar 

  7. C. Guigou-Carter and M. Villot, Modelling of sound transmission through lightweight elements with stiffeners, Building Acoustics, 10 (3) (2003) 193–209.

    Article  Google Scholar 

  8. F. X. Xin and T. J. Lu, Transmission loss of orthogonally ribstiffened double-panel structures with cavity absorption, Journal of the Acoustical Society of America, 129 (4) (2011) 1919–1934.

    Article  Google Scholar 

  9. F. X. Xin and T. J. Lu, Sound radiation of orthogonally ribstiffened sandwich structures with cavity absorption, Composites Science and Technology, 70 (15) (2010) 2198–206.

    Article  Google Scholar 

  10. D. J. Mead, Wave propagation in continuous periodic structures: Research contributions from Southampton, 1964–1995, Journal of Sound and Vibration, 190 (3) (1996) 495–524.

    Article  Google Scholar 

  11. J. Brunskog and P. Hammer, Prediction models of impact sound insulation on timber floor structures; A literature survey, Building Acoustics, 7 (2) (2000) 89–112.

    Article  Google Scholar 

  12. A. Pellicier and N. Trompette, A review of analytical methods, based on the wave approach to compute partitions transmission loss, Applied Acoustics, 68 (10) (2007) 1192–212.

    Article  Google Scholar 

  13. J. Wang, T. J. Lu, J. Woodhouse, R. S. Langley and J. Evans, Sound transmission through lightweight double-leaf partitions: Theoretical modeling, Journal of Sound and Vibration, 286 (4–5) (2005) 817–47.

    Article  Google Scholar 

  14. S. M. Huybrechts, T. E. Meink, P. M. Wegner and J. M. Ganley, Manufacturing theory for advanced grid stiffened structures, Composites Part A: Applied Science and Manufacturing, 33 (2) (2002) 155–61.

    Article  Google Scholar 

  15. X. W. Yin, L. J. Liu, H. X. Hua and R. Y. Shen, Acoustic radiation from an infinite laminated composite cylindrical shell with doubly periodic rings, Journal of Vibration and Acoustics-Transactions of the ASME, 131 (1) (2009) 011005.

    Article  Google Scholar 

  16. X. Yin, X. Gu, H. Cui and R. Shen, Acoustic radiation from a laminated composite plate reinforced by doubly periodic parallel stiffeners, Journal of Sound and Vibration, 306 (3–5) (2007) 877–89.

    Article  Google Scholar 

  17. A. Mejdi, J. Legault and N. Atalla, Transmission loss of periodically stiffened laminate composite panels: Shear deformation and in-plane interaction effects, Journal of the Acoustical Society of America, 131 (1) (2012) 174–185.

    Article  Google Scholar 

  18. S. Ghinet and N. Atalla, Modeling thick composite laminate and sandwich structures with linear viscoelastic damping, Computers & Structures, 89 (15) (2011) 1547–61.

    Article  Google Scholar 

  19. J. Lee and S. E. Kim, Flexural-torsional buckling of thin-walled I-section composites, Computers & Structures, 79 (10) (2001) 987–95.

    Article  Google Scholar 

  20. D. Takahashi, Sound radiation from periodically connected double-plate structures, Journal of Sound and Vibration, 90 (4) (1983) 541–57.

    Article  MATH  Google Scholar 

  21. L. Cremer L, M. Heckl and B. A. T. Petersson, Structure-borne sound, 3ed: Springer, Berlin, Germany (2005).

    Book  Google Scholar 

  22. J. H. Lee and J. Kim, Analysis of sound transmission through periodically stiffened panels by space-harmonic expansion method, Journal of Sound and Vibration, 251 (2) (2002) 349–66.

    Article  Google Scholar 

  23. F. Fahy and P. Gardonio, Sound and structural vibration: radiation, transmission and response, 2 ed: Academic Press, Oxford, UK (2007).

    Google Scholar 

  24. F. X. Xin and T. J. Lu, Analytical modeling of fluid loaded orthogonally rib-stiffened sandwich structures: Sound transmission, Journal of the Mechanics and Physics of Solids, 58 (9) (2010) 1374–96.

    Article  MATH  MathSciNet  Google Scholar 

  25. S. Ghinet and N. Atalla, H. Osman, Diffuse field transmission into infinite sandwich composite and laminate composite cylinders, Journal of Sound and Vibration, 289 (4–5) (2005) 745–78.

    Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory for Mechanical Structure Strength and Vibration, School of Aerospace, Xi’an Jiaotong University, Xi’an, 710049, China

    Cheng Shen, Fengxian Xin & Tianjian Lu

Authors
  1. Cheng Shen
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  2. Fengxian Xin
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  3. Tianjian Lu
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Corresponding author

Correspondence to Fengxian Xin.

Additional information

This paper was presented at the FEOFS 2013, Jeju, Korea, June 9–13, 2013. Recommended by Guest Editor Jung-Il Song

Fengxian Xin received his Ph.D. from Xi’an Jiaotong University in 2011. He is currently an Associate Professor of State Key Laboratory for Mechanical Structure Strength and Vibration in Xi’an Jiaotong University. His research interests include vibration, acoustic and thermal property of lightweight structures.

Cheng Shen received his Ph.D. from Xi’an Jiaotong University in 2014. Recently, he joined College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics as a lecturer. His major interest is vibration and acoustic property of metallic and composite lightweight structures.

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Shen, C., Xin, F. & Lu, T. Transmission loss of orthogonally stiffened laminated composite plates. J Mech Sci Technol 29, 59–66 (2015). https://doi.org/10.1007/s12206-014-1209-9

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  • DOI: https://doi.org/10.1007/s12206-014-1209-9

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