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Elastic equilibrium of hollow cylinders of finite dimensions with annular external notches

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Literature Cited

  1. 1.

    V. T. Grinchenko, “Axisymmetric problem of the theory of elasticity for a thick-walled cylinder of finite length,” Prikl. Mekh.,.3, No. 8, 93–103 (1967).

  2. 2.

    V. T. Grinchenko, Equilibrium and Steady-State Vibrations of Elastic Bodies of Finite Dimensions [in Russian], Naukova Dumka, Kiev (1978).

  3. 3.

    A. N. Guz' and Yu. N. Nemish, Perturbation Method in Three-Dimensional Problems of the Theory of elasticity [in Russian], Vishcha Shkola, Kiev (1982).

  4. 4.

    Yu. N. Nemish, Dokl. Akad. Nauk URSR, Ser. A, No. 2, 155–158 (1973).

  5. 5.

    Yu. N. Nemish, “Three-dimensional problems of the theory of elasticity for noncanonical regions,” Prikl. Mekh.,16, No. 2, 3–39 (1980).

  6. 6.

    Yu. N. Nemish, “Three-dimensional boundary-value problems for deformable cylinders with nonplanar ends,” Prikl. Mekh.,18, No. 6, 15–21 (1982).

  7. 7.

    Yu. N. Nemish and N. M. Bloshko, “Study of the elastic equilibrium of corrugated cylinders of finite dimensions,” Prikl. Mekh.,19, No. 5, 16–23 (1983).

  8. 8.

    Yu. N. Nemish and D. I. Chernopiskii, Elastic Equilibrium of Corrugated Bodies [in Russian], Naukova Dumka, Kiev (1983).

  9. 9.

    A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Elementary Functions [in Russian], Nauka, Moscow (1981).

  10. 10.

    A. Abramovits and I. Stigan, Handbook of Special Functions [in Russian], Nauka, Moscow (1979).

  11. 11.

    D. I. Chernopiskii, “Certain features of designing deformable cylinders with modified Bessel functions,” Prikl. Mekh.,14, No. 6, 45–51 (1978).

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Additional information

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 20, No. 1, pp. 32–38, January, 1984.

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Nemish, Y.N., Chernopiskii, D.I. & Bloshko, N.M. Elastic equilibrium of hollow cylinders of finite dimensions with annular external notches. Soviet Applied Mechanics 20, 29–34 (1984).

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  • Hollow Cylinder
  • Finite Dimension
  • Elastic Equilibrium
  • External Notch