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Natural vibrations of ribbed orthotropic rectangular plates

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Literature Cited

  1. 1.

    I. Ya. Amiro and V. A. Zarutskii, Theory of Ribbed Shells [in Russian], Naukova Dumka, Kiev (1980).

  2. 2.

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

  3. 3.

    M. I. Dovganich, “On the convergence of the factorization method in the adjoint conditions,” Integral Equations in Applied Modelling, Abstract of Reports. Republic Sci-Tekh. Conf., Pt. 2, 102–103 [in Russian], Inst. of Electrodynamics, Ukraine Acad. Sci., Kiev (1983).

  4. 4.

    M. I. Dovganich and I. Yu. Korol', “On a method of investigating the free vibrations of variable thickness rectangular plates,” Prikl. Mekh.,14, No. 2. 80–86 (1978).

  5. 5.

    V. N. Zhestkii, “Natural vibrations of plates reinforced by a network of ribs,” Tr. Tomsk Inzh.-Stroit. Inst.,14, 31–39 (1968).

  6. 6.

    L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Fizmatgiz, Moscow (1962).

  7. 7.

    N. S. Lopatin, “Analysis of reinforced slabs,” Questions of Reliability and Longevity of Agricultural Machines [in Russian], 258–262, Rostov-on-Don (1968).

  8. 8.

    A. A. Nazarov, “Principles of the Theory and Methods of Shallow Shell Analysis [in Russian], Izd. Lit. Storit., Moscow-Leningrad (1966).

  9. 9.

    B. N. Ostroverkh, “Free vibrations and stability of rectangular orthotropic plates reinforced by ribs,” Prikl. Mekh.,2, No. 5, 23–32 (1966).

  10. 10.

    A. P. Filippov, Vibrations of Deformable Systems [in Russian], Mashinostroenie, Moscow (1970).

  11. 11.

    Z. I. Shilkina, “Determination of the free vibrations frequencies by finite elements methods,” Collection of Work, Leningrad Structural Engineering Institute, No. 104, 153–156 (1975).

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Additional information

Uzhgorod University. Translated from Prikladnaya Mekhanika, Vol. 23, No. 1, pp. 75–80, January, 1987.

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Dovganich, M.I. Natural vibrations of ribbed orthotropic rectangular plates. Soviet Applied Mechanics 23, 65–69 (1987).

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  • Rectangular Plate
  • Natural Vibration
  • Orthotropic Rectangular Plate