Optimization of Sound Transmission Loss of a Composite Rectangular Plate with Infinite Baffle

Authors

Shahid Sattary University of Science and Technology

Abstract

In this paper, optimization of the sound transmission loss of finite rectangular anisotropic laminated composite plate with simply supported boundary conditions has been developed to maximize transmission loss. Appropriate constraints were imposed to prevent the occurrence of softening effect due to optimization. For this purpose, optimization process was incorporated into comprehensive finite element software. The transmission loss (TL) obtained from the numerical solution was compared with those of other authors indicated good agreement. The discrete frequencies have been chosen based upon the sound transmission class with A-weighting constant. Several traditional composite materials have been studied and the results have shown that in the mass control region, the optimization of stacking sequence and optimal thickness has not been an effective contribution to improve the transmission loss. The results also show that, the lamina thickness optimization has an important effect on improving the transmission loss, but the advantage of low weight composite material is compromised by optimization.

Keywords


[1]Chandra N., Raja S., Gopal K.V.,”Vibro-acoustic response and sound transmission loss analysis of functionally graded plates,”Journal of Sound and Vibration, Vol. 333, pp.5786–5802,2014.

[2] Denli H., .Sun J.Q.,“Structural acoustic optimization of sandwich cylindrical shells for minimum interior sound transmission,”Journal of Sound and Vibration,Vol. 316, pp.32–49, 2008.

[3] Smith J. P.,“Sound transmission through thin cylindrical shells,” Journal of Acoustical Society ofAmerica, Vol. 29, pp.712–29, 1957.

[4] White P.,“Sound Transmission through a finite, closed, cylindrical Shell,” Journal of Acoustical Societyof America, Vol. 40, pp. 1124–30, 1966.

[5] Koval L., R.,“Sound Transmission into a Laminated Composite Cylindrical Shell,”Journal of Sound and Vibration, Vol. 71, No.4, pp. 523-530, 1980.

[6] Blaise A., Lesuer C., Gotteland M., Barbe M. “On sound transmission into an orthotropic infinite shell.comparison with Koval’s results and understanding of phenomena,” Journal of sound and vibration150: 233–43, 1991.

[7] Lee J. H., Kim J.,“Study on sound transmission characteristics of a cylindrical shell using analytical an experimental models,”, Applied Acoustic, Vol. 64, pp.611-632, 2003.

[8] Roussos L.A., “Noise transmission loss of a rectangular plate in an infinite baffle,” NASA Technical Paper 2398, 1985.

[9] Lang M. A., Dym C. L.,“Optimal acoustic design of sandwich panels,”Journal of the Acoustical Society of America, Vol. 57, 1974, pp. 481-1487.

[10] Wang T., Li S., NuttS.R,“Optimal design of acoustical sandwich panels with a genetic algorithm,”Journal of AppliedAcoustics,Vol. 70, No. 3, pp. 416–425,2009.

[11] Tsai Y. T., Pawar S. J., Huang J.,“Optimizing material properties of composite plates for sound transmission problem,”Journal of Sound and Vibration,Vol.335, pp.174-186, 2015.

[12] Nouri A., Astaraki, S.,”Optimization of sound transmission loss through a thin functionally graded material cylindrical shell,”shock and vibration journal,2014,Article ID 814682.
[13] Chakraborty A., Gopalakrishnan.S.,“Wave propagation in inhomogeneous layered media: solution of forward and inverse problems,”Acta Mechanica, Vol.169, 2004, pp. 53–185.

[14] Geebelen N., Boeckx L., Vermeir G., Lauriks W.,“A model for estimating the acoustic performances of multilayered systems based on a multiple extension of the transfer matrix method,”Proceedings of the Sixth European Conference on Noise Control, Finland, pp.1–6, 2006.

[15] R Talebitooti,A. M. Choudari Khameneh,M. R. Zarastvand, M. Kornokar, “Investigation of three-dimensional theory on sound transmission through compressed poroelastic sandwich cylindrical shell in various boundary configurations”, Journal of Sandwich Structure & Materials, online.

[16] Dijckmans A., Vermeir Glauriks., W.,” Sound transmission through finite light weight multilayered structures with thin air layers,” Journal of Acoustical Society of America, Vol.128, 2010, pp. 3513–3524.

[17] R.Talebitooti, M.R.Zarastvand, “The effect of nature of porous material on diffuse field acoustic transmission of the sandwich aerospace composite doubly curved Shell”, Aerospace Science and Technology,Volume 78, July 2018, Pages 157-170

[18] R Talebitooti,M. R. Zarastvand, H. D Gohari, “Investigation of power transmission across laminated composite doubly curved shell in the presence of external flow considering shear deformation shallow shell theory”, Journal of Vibration and Control, Vol 24, Issue 19, 2018.

[19] CrockerM. J., Handbook of Acoustics, John Wiley and Sons, New York, NY, USA, 1998.

[20] Roy T., Chakraborty, D.,“Optimal vibration control of smart fiber-reinforced composite shell structures using an improved genetic algorithm,”Journal of Sound and Vibration, Vol.319, 2009, pp.15-40.

[21] Bert C. W.,“Optimal design of composite material plate to maximize its fundamental frequency,”Journal of sound and vibration, Vol. 50, No. 2, 1977, pp.229-237.

[22] Jones R. M. (1999).  Mechanics of Composite Materials, Taylor & Francis publication, second edition, USA.

[23] David, A. B. and Hansen, C. H.,Engineering Noise ControlTheory and Practice, Spon Press, London, UK, fourth edition, 2009.

[24] FahyF. J. and GardonioP., Sound and Structural Vibration. Radiation, Transmission and Response, Academic Press, San Diego, California, USA, second edition, 2007.

 [25] Conn A. R., Gould N. M. and Ph. L. Toint,“A Globally Convergent Augmented Lagrangian Barrier Algorithm for Optimization with General Inequality Constraints and Simple Bounds,” Mathematics of Computation, Vol.66, No. 217, 1997, pp. 261–288.

[26] Standard practice for determining single-number rating of airborne sound isolation in multiunit building specifications, E597-81, Annual Book of ASTM Standards (American Society of Testing and Materials), Philadelphia, 1984.

[27] Dym C. L., Lang,M. A., (1974), “Transmission of sound through sandwich panels”,Journal of the Acoustical Society of Ameri, Vol. 56, pp. 1523-1532, 1974.