Abstract
An equation of motion of a flat inhomogeheous anisotropic plate is considered. Formal asymptotic solutions are constructed by applying the space-time ray method. An equation describing the flow of energy is obtained in the form of a continuity equation. Bibliography: 5 titles.
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References
V. M. Babich, V. S. Buldyrev, and I. A. Molotkov,The Space-Time Ray Method: Linear and Nonlinear Waves [in Russian], Leningrad (1985).
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G. I. Mikhasev, “On wave forms of motion of an infinite cylindrical shell with varying parameters,”Izv. Akad. Nauk RAN, No. 6, 129–137 (1995).
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A. S. Golubeva, “Solutions of the equation of a plate that are concentrated near closed extremal loops,”Zap. Nauchn. Semin. POMI 230, 41–51 (1995).
Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 250, 1998, pp. 73–82.
Translated by A. S. Golubeva.
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Golubeva, A.S. On vibrations of an inhomogeneous anisotropic plate. J Math Sci 102, 4182–4187 (2000). https://doi.org/10.1007/BF02673849
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DOI: https://doi.org/10.1007/BF02673849