Parameters Optimization of the Laminated Composite Plate for Sound Transmission Problem
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.
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:70563", author = "Yu T. Tsai and Jin H. Huang", title = "Parameters Optimization of the Laminated Composite Plate for Sound Transmission Problem", abstract = "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 = "Sound transmission loss, laminated composite plate,
transfer matrix approach, inverse problem, elastic plate theory,
material properties.", volume = "9", number = "7", pages = "1305-4", }