This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
R. E. Bellman and R. E. Kalaba, Quasilinearization and Nonlinear Boundary-Value Problems, Rand Corp., Santa Monica, California (1965).
N. V. Valishvili, Methods of Calculating Bodies of Revolution on a Computer [in Russian], Mashinostroenie, Moscow (1976).
Ya. M. Grigorenko, N. N. Kryukov, and T. G. Akhalaya, “Nonaxisymmetric deformation of elastic round plates of variable rigidity,” Prikl. Mekh.,5, No. 10, 75–80 (1979).
Ya. M. Grigorenko, N. N. Kryukov, G. P. Golub, and V. S. Demyanchuk, “Numerical solution of nonlinear two-dimensional problems of nonaxisymmetric deformation of layered bodies of revolution of variable rigidity,” Prikl. Mekh.,20, No. 8, 37–45 (1984).
Ya. M. Grigorenko, N. N. Kryukov, and Kh. Saparov, “Nonaxisymmetric deformation of elastic conical shells of variable thickness,” Prikl. Mekh.,19, No. 5, 29–35 (1983).
Ya. M. Grigorenko and A. P. Mukoed, Solution of Nonlinear Problems of the Theory of Shells on a Computer [in Russian], Vishcha Shkola, Kiev (1983).
Ya. M. Grigorenko and B. K. Nikolaev, “Nonaxisymmetric distribution of displacements and stresses in elastic spherical shells of variable thickness,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 5, 30–33 (1985).
B. Ya. Kantor, Nonlinear Problems of the Theory of Nonhomogeneous Tapered Shells [in Russian], Naukova Dumka, Kiev (1971).
Tsung Yen Na, Computational Methods in Engineering Boundary Value Problems, Academic Press, New York (1979).
V. V. Novozhilov, Foundations of the Nonlinear Theory of Elasticity [in Russian], Gostekhizdat, Moscow (1948).
L. A. Shapovalov, “On a simple variant of the equations of geometrically nonlinear theory of thin shells,” Inzh. Zh. Mekh. Tverd. Tela, No. 1, 56–62 (1968).
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 22, No. 4, pp. 51–56, April, 1986.
About this article
Cite this article
Nikolaev, B.K. Numerical solution of the problem of nonaxisymmetric deformation of elastic spherical shells with variable rigidity. Soviet Applied Mechanics 22, 345–349 (1986). https://doi.org/10.1007/BF00886987
- Spherical Shell
- Variable Rigidity
- Elastic Spherical Shell
- Nonaxisymmetric Deformation