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Сalculation of circular cylindrical shell by bending theory taking into account creep

Abstract

Сalculation of circular cylindrical shell by bending theory taking into account creep

Chepurnenko A.S., Sajbel' A.V., Savchenko A.A.

Incoming article date: 05.06.2017

The general equations of the moment theory of a circular cylindrical shell with creep are considered: static, geometric and physical. We solve the problem of determining the stress-strain state of a shell rigidly clamped in the base when an internal hydrostatic pressure acts on it. The problem has reduced to a linear nonhomogeneous differential equation of the fourth order with respect to deflection. The solution was performed numerically by the finite difference method in the Matlab software package. As a law of connection between creep strains and stresses, the generalized nonlinear Maxwell-Gurevich equation was used. To determine the creep strains, a linear approximation of the first time derivative was used. The shell was made from secondary PVC, and as a result, it was found that in the process of creep in the shell, the circumferential stresses increase by 15%.

Keywords: cylindrical shell; creep; moment theory; polymers; finite difference method