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Acoustic Transmission Through Cylindrical Shells Treated with FLD Mechanisms

Published online by Cambridge University Press:  05 May 2011

K. Daneshjou*
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran
R. Talebitooti*
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran
A. Nouri*
Affiliation:
Department of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran
*
* Professor
** Ph.D. student
** Ph.D. student
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Abstract

Analytical study is conducted in this paper to understand the characteristics of sound transmission through cylindrical shell with free layer damping (FLD) treatment. It is assumed an infinitely long circular cylindrical shell subjected to a plane wave with uniform airflow in the external fluid medium. The damping layer applied on the surface of the shell is represented by HN model with frequency-dependent specifications. An exact solution is obtained by solving the Markus equations of FLD shells and acoustic wave equations simultaneously. As the pressure and displacement terms are expressed in series form, an iterative procedure is founded to cut them with an appropriatenumber of modes. Transmission losses obtained from the solution are compared with “modal-impedance method” for an especial case of untreated shell. Eventually, the numerical results show the effects of stiffness, loss factor and thickness of damping material, and also incident wave angles on TL curves.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

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References

1.Rechards, E. J. and Mead, D. J., Eds., Noise and Acoustic Fatigue in Aeronautics, John Wiley and Sons, London (1968).Google Scholar
2.Kagawa, Y. and Krokstad, A., On the Damping of Cylindrical Shells Coated with Viscoelastic Materials, ASME Publication 69-Vibr. 9, pp. 19 (1976).Google Scholar
3.Markus, S., “Damping Properties of Layered Cylindrical Shells Vibrating in Axially Symmetric Modes,” J. Sound Vib., 48, pp. 511524 (1976).Google Scholar
4.Oberst, H, Uber, die“Dampfung Der Biegeschwingungen Dunner Bleche Durch Fest Haftende Belage,” Acustica 2,Google Scholar
4aAkustischeBeih, 4, pp. 181194 (1952).Google Scholar
5.Markus, S., “Refined Theory of Damped Axisymmetric Vibrations of Double-Layered Cylindrical Shells,” J. Mech. Eng. Sci., 21, pp. 3337 (1979).CrossRefGoogle Scholar
6.Fahy, F., Sound and Structural Vibration: Radiation, Transmission and Response, Academic Press, New York, NY (1985).Google Scholar
7.Smith, P. W., “Sound Transmission Through Thin Cylindrical Shells,” J. Acoust. Soc. Am., 29, pp. 721–72 (1957).CrossRefGoogle Scholar
8.White, P., “Sound Transmission Through a Finite, Closed, Cylindrical Shell,” J. Acoust. Soc. Am., 40, pp. 11241130 (1966).CrossRefGoogle Scholar
9.Koval, L. R., “On Sound Transmission Into a Thin Cylindrical Shell Under Flight Conditions,” J. Sound Vib., 48, pp. 265275 (1976).CrossRefGoogle Scholar
10.Koval, L. R., “On Sound Transmission Into an Orthotropic Shell,” J. Sound Vib., 63, pp. 5159 (1979).CrossRefGoogle Scholar
11.Blaise, A., Lesueur, C., Gotteland, M. and Barbe, M., “On Sound Transmission Into an Orthotropic Infinite Shell: Comparison with Koval Result and Understanding the Phenomena,” J. Sound Vib., 150, pp. 233243 (1991).Google Scholar
12.Lee, J. H. and Kim, J., “Study on Sound Transmission Characteristics of a Cylindrical Shell Using Analytical an Experimental Models,” Applied Acoustic, 64, pp. 611632 (2003).CrossRefGoogle Scholar
13.Daneshjou, K., Nouri, A. and Talebitooti, R., “Sound Transmission Through Laminated Composite Cylindrical Shells Using Analytical Model,” Archive of Applied Mechanics, 77, pp. 363379 (2007).Google Scholar
14.Markus, S., The Mechanics of Vibrations of Cylindrical Shells, Elsevier (1988).Google Scholar
15.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), pp. 1–4 (1996).Google Scholar
16.Tang, Y. Y., Silcox, R. J. and Robinson, J. S., “Sound Transmission Through Two Concentric Cylindrical Sandwich Shells,” Proceedings of the 14th International Modal Analysis ConferenceJapan pp. 1488–1492 (1996).Google Scholar
17.Duffy, J. V., Lee, G. F., Lee, J. D. and Hartmann, B., “Dynamic Mechanical Properties of Poly (Teramethylene Ether) Glycol Polyurethanes in Sound and Vibration Damping with Polymers,” ACS Symposium Series 424, Corsaro, R. D. and Sperling, L. H., Eds., American Chemical Society, Washington, DC, Chap. 15, pp. 281300 (1990).Google Scholar
18.Lee, J. D., Lee, G. F. and Hartmann, B., “Damping Properties of Aliphatic Polyurethanes from, 4, 4' Dicyclohexylmethane Diisocyanate,” Proceeding of Damping, 91, pp. GDF-l-GDF-12 (1991).Google Scholar
19.Hartmann, B., Gilbert, F. and John, D. L., “Loss Factor Height and Width Limits for Polymer Relaxations,” J. Acoust. Soc. Am., 95, pp. 226232 (1994).Google Scholar
20.Havrilak, S. and Negami, S., “A Complex Plane Analysis of Dispersions in Some Polymer Systems, in Transitions and Relaxations in Polymers,” J. Polym. Sci. Part C, 14, Boyer, R. F., Ed., Interscience, New York, pp. 99117 (1966).Google Scholar