Buckling of axisymmetric equilibrium states of annular plates

Authors

  • Eva B. Voronkova St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;
  • Kseniya A. Minina St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;

Abstract

The stability of axisymmetric equilibrium states of an isotropic non-homogeneous plate under uniform pressure is considered. The unsymmetric part of the solution is sought in terms of multiples of the harmonics of the angular coordinates. A numerical method is employed to obtain the lowest load value, which leads to the appearance of waves in the circumferential direction. It is shown that if the elasticity modulus decreases away from the center of a plate, the critical pressure for unsymmetric buckling is sufficiently lower than for a plate with constant mechanical properties. Refs 5. Figs 1. Tables 2.

Keywords:

floating beam

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Published

2015-05-01

How to Cite

Voronkova, E. B., & Minina, K. A. (2015). Buckling of axisymmetric equilibrium states of annular plates. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2(2), 297–301. Retrieved from https://math-mech-astr-journal.spbu.ru/article/view/11160

Issue

Vol. 2 No. 2 (2015)

Section

Mechanics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.