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Analysis of the nonaxisymmetric vibrations of flexible ellipsoidal shells discretely reinforced with transverse ribs under nonstationary loads

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The problem of forced nonaxisymmetric vibrations of reinforced ellipsoidal shells under nonstationary loads is formulated. A numerical algorithm of solving it is developed and the results obtained are analyzed

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References

  1. I. Ya. Amiro, V. A. Zarutskii, and V. G. Palamarchuk, Dynamics of Ribbed Shells [in Russian], Naukova Dumka, Kyiv (1983).

    Google Scholar 

  2. I. Ya. Amiro and V. A. Zarutskii, “Taking the discrete rib spacing into account when studying the stressed-strained state, vibrations, and stability of ribbed shells (review),” Int. Appl. Mech., 34, No. 4, 299–314 (1998).

    Google Scholar 

  3. I. Ya. Amiro and V. A. Zarutskii, “The statics, dynamics, and stability of ribbed shells,” Itogi Nauki Tekhn., Ser. Mekh. Deform. Tverd. Tela, VINITI, Moscow, 21, 132–191 (1990).

    Google Scholar 

  4. Ya. M. Grigorenko, E. I. Bespalova, A. B. Kitaigorodskii, and A. I. Shinkar', Free Vibrations of Elements of Shell Structures [in Russian], Naukova Dumka, Kyiv (1986).

    Google Scholar 

  5. V. I. Gulyaev, E. A. Bazhenov, and E. A. Gotsulyak, Stability of Nonlinear Mechanical Systems [in Russian], Vyshcha Shkola, Lviv (1982).

    Google Scholar 

  6. I. Ya. Amiro, V. A. Zarutskii, V. N. Revutskii, et al., Vibrations of Ribbed Shells of Revolution [in Russian], Naukova Dumka, Kyiv (1988).

    Google Scholar 

  7. P. Z. Lugovoi, “The dynamics of thin-walled structures under nonstationary loads,” Int. Appl. Mech., 37, No. 5, 602–627 (2001).

    Article  Google Scholar 

  8. P. Z. Lugovoi and V. F. Meish, “Numerical modeling of the dynamic behavior of reinforced shells of revolution under nonsteady loads,” Int. Appl. Mech., 28, No. 11, 720–724 (1992).

    Article  Google Scholar 

  9. P. Z. Lugovoi, V. F. Meish, and É. A. Shtantsel', Nonstationary Dynamics of Inhomogeneous Shell Structures [in Russian], Izd. Poligraf. Tsentr “Kiev. Univ.,” Kyiv (2005).

    Google Scholar 

  10. V. F. Meish, “Numerical solution of two-dimensional dynamic problems in Timoshenko's geometrically nonlinear theory of discretely reinforced cylindrical shells,” Prikl. Mekh., 33, No. 2, 61–67 (1997).

    Google Scholar 

  11. V. F. Meish, “Numerical solution of dynamic problems for reinforced ellipsoidal shells under nonstationary loads,” Int. Appl. Mech., 41, No. 4, 386–391 (2005).

    Article  Google Scholar 

  12. I. K. Naval, V. I. Patsyuk, and V. K. Rimskii, Nonstationary Waves in Deformable Media [in Russian],: Shtinitsa, Kishinev (1986).

    Google Scholar 

  13. V. V. Novozhilov, Fundamentals of the Nonlinear Theory of Elasticity [in Russian], Gostekhizdat Leningrad-Moscow (1948).

    Google Scholar 

  14. A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  15. K. G. Golovko, P. Z. Lugovoi, and V. F. Meish, “Solution of axisymmetric dynamic problems for cylindrical shells on an elastic foundation,” Int. Appl. Mech., 43, No. 12, 1390–1395 (2007).

    Article  Google Scholar 

  16. P. Z. Lugovoi, V. F. Meish, B. P. Rybakin, and G. V. Sekrieru, “Dynamics of reinforced compound shells under nonstationary loads,” Int. Appl. Mech., 42, No. 4, 455–460 (2006).

    Article  Google Scholar 

  17. P. Z. Lugovoi, V. F. Meish B. P. Rybakin, and G. V. Sekrieru, “On numerical solution of dynamics problems in the theory of reinforced shells,” Int. Appl. Mech., 42, No. 5, 536–540 (2006).

    Article  Google Scholar 

  18. V. A. Zarutskii and I. Yu. Podil'chuk, “Propagation of harmonic waves in longitudinally reinforced cylindrical shells with low shear stiffness,” Int. Appl. Mech., 42, No. 5, 525–528 (2006).

    Article  Google Scholar 

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Correspondence to V. F. Meish.

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Translated from Prikladnaya Mekhanika, Vol. 44, No. 10, pp. 63–73, October 2008.

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Meish, V.F., Maiborodina, N.V. Analysis of the nonaxisymmetric vibrations of flexible ellipsoidal shells discretely reinforced with transverse ribs under nonstationary loads. Int Appl Mech 44, 1128–1136 (2008). https://doi.org/10.1007/s10778-009-0125-7

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  • DOI: https://doi.org/10.1007/s10778-009-0125-7

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