Research stress strain state of cylindrical shell under the refined theory

Аuthors

Firsanov V. V.^1*, Tran N. D.^2**, Le T. H.^1***

1. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
2. Le Quy Don Technical University, 236, Hoang Quoc Viet, Ha Noi, Viet Nam

*e-mail: k906@mai.ru
**e-mail: ngocdoanmai@gmail.com
***e-mail: lthieuhk@gmail.com

Abstract

Under the refined theory is considered axisymmetric cylindrical shell for two cases sought displacement approximation by polynomials in the normal coordinate. The basic equation of the displacement and the boundary conditions, obtained by minimizing the energy functional of Lagrange. Two variants of a refined theory of determining the stress strain state conventionally called «K = 2» and «K = 3». In the case of K = 2 tangential displacements are represented as squares of polynomials, and deflection linear polynomial in the normal coordinates. In the version of K = 3 approximation movements made ??by one degree higher than in the case of K = 2. The analytical solution of the boundary problem for the option of a refined theory.

Keywords:

the theory of cylindrical shells , concerted conditions, closed cylindrical shell, edge conditions, Laplace transform, local loading, the characteristic equation, edge conditions «boundary layer»