Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31181
Parameters Optimization of the Laminated Composite Plate for Sound Transmission Problem

Authors: Yu T. Tsai, Jin H. Huang


In this paper, the specific sound Transmission Loss (TL) of the Laminated Composite Plate (LCP) with different material properties in each layer is investigated. The numerical method to obtain the TL of the LCP is proposed by using elastic plate theory. The transfer matrix approach is novelty presented for computational efficiency in solving the numerous layers of dynamic stiffness matrix (D-matrix) of the LCP. Besides the numerical simulations for calculating the TL of the LCP, the material properties inverse method is presented for the design of a laminated composite plate analogous to a metallic plate with a specified TL. As a result, it demonstrates that the proposed computational algorithm exhibits high efficiency with a small number of iterations for achieving the goal. This method can be effectively employed to design and develop tailor-made materials for various applications.

Keywords: material properties, Inverse problem, sound transmission loss, laminated composite plate, transfer matrix approach, elastic plate theory

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1471


[1] F. Fahy, Sound and Structural Vibration Radication, Transmission and Response, Academic Press, 1991, pp. 143-210.
[2] R. D. Mindlin, “Influence of rotator inertia and shear on flexural motions of isotropic elastic plates,” Trans. ASME J. Appl. Mech., vol. 18, no. 1, pp. 31-38, 1951
[3] G. M. Kulikov and S. V. Plotnikova, “Simple and effective elements based upon Timoshenko-Mindlin shell theory,” Comput. Method Appl. Mech. Engrg., vol. 191, 2001.
[4] W. Thompson and J. V. Rattayya, “Acoustic power radiated by an infinite plate excited by a concentrated moment,” J. Acoust. Soc. Am., vol. 36, no. 8, pp. 1488-1490, 1964.
[5] D. Feit, “Pressure radiated by a point-excited elastic plate,” J. Acoust. Soc. Am., vol. 40, no. 6, pp. 1489-1494, 1966.
[6] M. C. Junger and D. Feit, Vibration of beams, plates, and shells (in Sound structure and their interactions), J. Acoust. Soc. Am., 1993, pp. 195-231.
[7] A. S. Kosmodamianskii and V. A. Mitrakov, “Bending of a finite anisotropic plate with a curvilinear hole,” Int. Appl. Mech. Vol. 12, no. 12, pp. 1282-1285, 1976.
[8] E. A. Skelton and J. H. James, “Acoustics of anisotropic planar layered media,” J. Sound & Vib., vol. 152, no. 1, pp. 157-174, 1992.
[9] C. W. Woo and Y. H. Wang, “Analysis of an internal crack in a finite anisotropic plate,” Int. J. Fracture, vol. 62, no. 3, pp. 203-218, 1993.
[10] G. A. Rogerson and L. Y. Kossovitch, “Approximations of the dispersion relation for an elastic plate composed of strongly anisotropic elastic material,” J. Sound & Vib., vol. 225, no. 2, pp. 283-305, 1999.
[11] J. D. Rodriguesa, C. M. C. Roquea and A. J. M. Ferreirab, “Analysis of isotropic and laminated plates by an affine space decomposition for asymmetric radial basis functions collocation,” Eng. Anal. Bound. Elem., vol. 36, no. 5, pp. 709–715, 2012.
[12] E. A. Skelton and J. H. James, “Planar layered media (in Theoretical Acoustics of Underwater Structures), Imperial Collage Press, 1998, pp. 301-333.
[13] W.T. Thomson, “Transmission of elastic waves through a stratified solid medium,” J. Applied Physics, Vol. 21, no. 195, pp. 89–93, 2004.