ON THE CLASSIC SOLUTION AND COMPETITION OF EIGENMODES IN THE PROBLEM OF THE STABILITY OF A LONGITUDINELY COMPRESSED CYLINDRICAL SHELL
Abstract
The paper deals with the features of the classic solution for critical stresses in the stability problem of a longitudinally compressed circular cylindrical shell. This stress consists of two terms, reflecting the ability of the shell to resist buckling due to bending and membrane deformations. With a non-zero Poisson's ratio, an axisymmetric edge effect develops, which reduces the critical load and leads to a change in the initial order of the eigen modes as the load increases (competition of eigen modes). It is established that shell with the edge effect always loses its stability only in non-axisymmetric forms. It is shown that if the edge effect does not develop, then the order of eigen forms at zero load and at a load close to critical is identical, that is, the phenomenon of competition of eigen formes does not arise.
About the Authors
Gaik A. Manuylov
RUT (MIIT)
Russian Federation
Ph. D., associate professor
Russian Federation
Ph. D., associate professor
Sergey B. Kosytsyn
RUT (MIIT)
Russian Federation
Dr. Sc., professor
Russian Federation
Dr. Sc., professor
Maxim M. Begichev
RUT (MIIT)
Russian Federation
Ph. D., associate professor
Russian Federation
Ph. D., associate professor
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