Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Determination of the optimal rod and shell shape by using a variational principle

This is a preview of subscription content, log in to check access.

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Literature Cited

  1. 1.

    P. Appel, Theoretical Mechanics [Russian translation], Vol. I, Fizmatgiz, Moscow (1960).

  2. 2.

    Yu. V. Gol'dshtein and M. A. Solomeshch, “Rational outline of arch structures under a moving load,” Izv. Vyssh. Uchebn. Zaved., Stroit. Arkhitekt., No. 6, 44–50 (1976).

  3. 3.

    B. S. Koval'skii, “Bins with flexible walls,” Dokl. Akad. Nauk SSSR,77, No. 6, 981–983 (1951).

  4. 4.

    V. A. Komarov, “On the rational distribution of material in structures,” Izv. Akad. Nauk SSSR, Mekh., No. 5, 85–87 (1965).

  5. 5.

    Yu. V. Nemirovskii, “On estimates of the weight of optimal plastic structures,” Inzh. Zh., Mekh. Tverd. Tela, No. 4, 159–162 (1968).

  6. 6.

    V. V. Novozhilov, Theory of Thin Shells [in Russian], Sudpromgiz, Leningrad (1962).

  7. 7.

    R. Shield, “Optimum design of structures through variational principles,” Lect. Notes Phys.,21, 13–37 (1973).

Download references

Additional information

Petrozavodsk State University. Translated from Prikladnaya Mekhanika, Vol. 14, No. 12, pp. 75–80, December, 1978.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Gol'dshtein, Y.B., Solomeshch, M.A. Determination of the optimal rod and shell shape by using a variational principle. Soviet Applied Mechanics 14, 1293–1297 (1978). https://doi.org/10.1007/BF00883733

Download citation

Keywords

  • Variational Principle
  • Shell Shape