A numerical method is used to determine the dispersion relation (an eigenvalue equation) of plane wave propagation in an anisotropic laminated plate. A phase velocity surface, phase slowness surface, phase wave surface, group velocity surface, group slowness surface, and group wave surface are defined and their formulae are deduced from the Rayleigh quotient and the orthogonality condition of the eigenvectors of the eigenvalue equation. The six characteristic surfaces can be used to illustrate the characteristics of plane waves and waves generated from a point source in an anisotropic laminated plate. As numerical examples, the characteristic surfaces are computed for graphite/epoxy angle ply laminated plates and for a hybrid one. The results for the graphite/epoxy laminated plates are compared with those obtained by Moon’s approximate theory.
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July 1991
Research Papers
Characteristic Wave Surfaces in Anisotropic Laminated Plates
G. R. Liu,
G. R. Liu
Institute of Fluid Science, Tohoku University, Katahira 2-1-1, Aoba-ku, Sendai, 980, Japan
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J. Tani,
J. Tani
Institute of Fluid Science, Tohoku University, Katahira 2-1-1, Aoba-ku, Sendai, 980, Japan
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T. Ohyoshi,
T. Ohyoshi
Department of Mechanical Engineering, Akita University, Akita, 010, Japan
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K. Watanabe
K. Watanabe
Department of Mechanical Engineering, Yamagata University, Yonezawa, 992, Japan
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G. R. Liu
Institute of Fluid Science, Tohoku University, Katahira 2-1-1, Aoba-ku, Sendai, 980, Japan
J. Tani
Institute of Fluid Science, Tohoku University, Katahira 2-1-1, Aoba-ku, Sendai, 980, Japan
T. Ohyoshi
Department of Mechanical Engineering, Akita University, Akita, 010, Japan
K. Watanabe
Department of Mechanical Engineering, Yamagata University, Yonezawa, 992, Japan
J. Vib. Acoust. Jul 1991, 113(3): 279-285 (7 pages)
Published Online: July 1, 1991
Article history
Received:
February 1, 1990
Revised:
September 1, 1990
Online:
June 17, 2008
Citation
Liu, G. R., Tani, J., Ohyoshi, T., and Watanabe, K. (July 1, 1991). "Characteristic Wave Surfaces in Anisotropic Laminated Plates." ASME. J. Vib. Acoust. July 1991; 113(3): 279–285. https://doi.org/10.1115/1.2930182
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