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Evolution of a trapped mode of oscillation in a continuous system with a concentrated inclusion of variable mass

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Abstract

This paper deals with transverse oscillations of an infinite string on the Winkler foundation with a point inertial inclusion of variable mass.

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References

  1. A. K. Abramyan, V. L. Andreev, and D. A. Indeitsev, in Modeling in Mechanics (SO RAN, Novosibirsk, 1992), Vol. 6, pp. 3–12 [in Russian].

    Google Scholar 

  2. D. A. Indeitsev, N. G. Kuznetsov, O. V. Motygin, and Yu. A. Mochalova, Localization of Linear Waves (St. Petersburg Univ., St. Petersburg, 2007) [in Russian].

    Google Scholar 

  3. J. D. Kaplunov and S. V. Sorokin, J. Acoust. Soc. Am. 97, 3898 (1995).

    Article  ADS  Google Scholar 

  4. S. N. Gavrilov, D. A. Indeitsev, Yu. A. Mochalova, and E. V. Shishkina, Ekol. Vestn. Nauchn. Tsentrov ChES 2, 25 (2016).

    Google Scholar 

  5. E. M. Lin’kov, L. N. Petrova, and K. S. Osipov, Dokl. Akad. Nauk 313(5), 1095 (1990).

    ADS  Google Scholar 

  6. L. E. Sobisevich, K. Kh. Kanonidi, and A. L. Sobisevich, Dokl. Earth Sci. 429, 1549 (2009).

    Article  ADS  Google Scholar 

  7. A. H. Nayfeh, Perturbation Methods (Wiley, New York, 1973).

    MATH  Google Scholar 

  8. S. N. Gavrilov and D. A. Indeitsev, J. Appl. Math. Mech. (Engl. Transl.) 66, 825 (2002).

    Article  Google Scholar 

  9. S. N. Gavrilov, J. Appl. Math. Mech. (Engl. Transl.) 70, 582 (2006).

    Article  Google Scholar 

  10. V. S. Vladimirov, Equations of Mathematical Physics (Nauka, Moscow, 1971; Mir, Moscow, 1984).

    MATH  Google Scholar 

  11. M. V. Fedoryuk, The Saddle-Point Method (Nauka, Moscow, 1977) [in Russian].

    MATH  Google Scholar 

  12. Yu. D. Kaplunov, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 6, 174 (1986).

    Google Scholar 

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Correspondence to E. V. Shishkina.

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Original Russian Text © D.A. Indeitsev, S.N. Gavrilov, Yu.A. Mochalova, E.V. Shishkina, 2016, published in Doklady Akademii Nauk, 2016, Vol. 61, No. 5, pp. 542–546.

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Indeitsev, D.A., Gavrilov, S.N., Mochalova, Y.A. et al. Evolution of a trapped mode of oscillation in a continuous system with a concentrated inclusion of variable mass. Dokl. Phys. 61, 620–624 (2016). https://doi.org/10.1134/S1028335816120065

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  • DOI: https://doi.org/10.1134/S1028335816120065

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