Strain-stress state of fringe effect on a cilindrical shell with variable thickness

Аuthors

Firsanov V. V.^*, Le T. H.^**

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

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

Abstract

Construction of fringe effect relationships for a cylindrical shell with thickness asymmetrically changing on length is considered. The method asymptotic integration of the differential equations of a three-dimensional problem of the theory of elasticity is applied. By means of special oblique-angled system of coordinates relationships similar to relationships of fringe effect for a cylindrical shell with a constant thickness are received. The basic differential equation of the fourth order with variable factors by to introductions of a new variable is led to a kind which common decision is expressed through modified functions Bessel. The example of calculation of the shell rigidly restrained on one edge is considered. Influence of lengths and thickness of a shell on components of tensely deformed condition analyzed.

Keywords:

a circular cylindrical shell; variable thickness; the theory of elasticity; method of asymptotic integration; fringe effect; fringe effect relationships; modified functions Bessell; strain-stress state.