Classical Solution and Edge Effect in the Problem of Stability of an Axially Compressed Cylindrical Shell

https://doi.org/10.26552/com.C.2020.1.48-54

  • Guyk A. Manuylov
  • Sergey B. Kosytsyn
  • Maksim M. Begichev
Keywords: cylindrical shell, spherical shell, edge effect, loss of stability, competition of eigen forms

Abstract

The classical solution for critical stresses in the problem of stability of a circular longitudinally compressed cylindrical shell consists of two terms, reflecting the ability of the shell to resist buckling due to bending and membrane deformations. However, with usual boundary conditions the classical solution appears only with the absence of the Poisson expansion of a shell. With a non-zero Poisson's ratio, an axisymmetric edge effect presents. It reduces the critical load and causes the initial arrangement of its own forms to change as the load increases.

Author Biographies

Guyk A. Manuylov

Department of Structural Mechanics, Russian University of Transport (MIIT), Moscow, Russia

Sergey B. Kosytsyn

Department of Theoretical Mechanics, Russian University of Transport (MIIT), Moscow, Russia

Maksim M. Begichev

Department of Theoretical Mechanics, Russian University of Transport (MIIT), Moscow, Russia

Published
2020-01-02
How to Cite
Guyk A. Manuylov, Sergey B. Kosytsyn, & Maksim M. Begichev. (2020). Classical Solution and Edge Effect in the Problem of Stability of an Axially Compressed Cylindrical Shell. Communications - Scientific Letters of the University of Zilina, 22(1), 48-54. https://doi.org/10.26552/com.C.2020.1.48-54
Section
Mechanical Engineering in Transport