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Nonaxisymmetric vibrations of ellipsoidal shells under nonstationary distributed loads

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Problems of forced nonaxisymmetric vibrations of ellipsoidal shells under nonstationary loads are formulated. A numerical algorithm to solve them is developed. The solutions obtained are analyzed

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References

  1. A. S. Vol'mir, Nonlinear Dynamics of Plates and Shells [in Russian], Nauka, Moscow (1972), p. 432.

    Google Scholar 

  2. 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), p. 172.

    Google Scholar 

  3. A. N. Guz' and V. D. Kubenko, Theory of Nonstationary Aerohydroelasticity of Shells, Vol. 5 of the five-volume series Methods of Shell Design [in Russian], Naukova Dumka, Kyiv (1982), p. 400.

    Google Scholar 

  4. A. N. Guz', V. D. Kubenko, and A. É. Babaev, Hydroelasticity of Shell Systems [in Russian], Vyshcha Shkola, Kyiv (1984), p. 208.

    Google Scholar 

  5. V. I. Gulyaev, V. A. Bazhenov, and E. A. Gotsulyak, Stability of Nonlinear Mechanical Systems [in Russian], Vyshcha Shkola, Lviv (1982), p. 255.

    Google Scholar 

  6. E. G. Yanyutin, I. V. Yanchevskii, A. V. Voropai, and A. S. Sharapata, Problems of Impulsive Deformation of Structural Elements [in Russian], KhNADU, Kharkov (2004), p. 392.

    Google Scholar 

  7. P. Z. Lugovoi, V. P. Mukoid, and V. F. Meish, Dynamics of Shell Structures under Explosive Loads [in Russian], Naukova Dumka, Kyiv (1991), p. 280.

    Google Scholar 

  8. P. Z. Lugovoi, V. F. Meish, and É. A. Shtantsel', Nonstationary Dynamics of Inhomogeneous Shell Structures [in Russian], Izd. Poligraf. Tsentr Kiev. Univer., Kyiv (2005), p. 563.

    Google Scholar 

  9. V. V. Novozhilov, Fundamentals of Nonlinear Elasticity Theory [in Russian], Gostekhizdat, Leningrad-Moscow (1948), p. 212.

    Google Scholar 

  10. A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977), p. 656.

    Google Scholar 

  11. Ya. M. Grigorenko, “Nonconventional approaches to static problems for noncircular cylindrical shells in different formulations,” Int. Appl. Mech., 43, No. 1, 35–53 (2007).

    Article  MathSciNet  Google Scholar 

  12. Ya. M. Grigorenko and L. V. Kharitonova, “Deformation of flexible noncircular cylindrical shells under concurrent loads of two types,” Int. Appl. Mech., 43, No. 7, 754–760 (2007).

    Article  Google Scholar 

  13. E. A. Kurilov and Yu. V. Mikhlin, “Nonlinear vibrations of cylindrical shells with initial imperfections in a supersonic flow,” Int. Appl. Mech., 43, No. 9, 1000–1008 (2007).

    Article  Google Scholar 

  14. 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 

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. F. Meish & N. V. Maiborodina

  2. National Agrarian University, Kiev, Ukraine

    V. F. Meish & N. V. Maiborodina

Authors
  1. V. F. Meish
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  2. N. V. Maiborodina
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 9, pp. 73–84, September 2008.

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Meish, V.F., Maiborodina, N.V. Nonaxisymmetric vibrations of ellipsoidal shells under nonstationary distributed loads. Int Appl Mech 44, 1015–1024 (2008). https://doi.org/10.1007/s10778-009-0117-7

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  • DOI: https://doi.org/10.1007/s10778-009-0117-7

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