DETACHMENT OF ELEMENTARY STRESS-STRAIN STATESFROM ZERO CURVATURE SHELL EQUATIONS

Abstract

A methodic of the approximate theory shell equations construction for the null curvature shell is presented. The two subsystems describing elementary stress-strain states with respect to the initial one are detached. The detachment of the principal terms in the every equation is made with the help of the simple iteration method. The weight coefficients for the every sought component of stress-strain state are determined in this way. The generalized half-membrane state equations are constructed and the end effect asymptotics are given. The elementary stress-strain states are constructed according to the found weight coefficients with the asymptotic integration method.

Keywords

• оболочка
• нулевая кривизна
• асимптотика
• малый параметр
• метод простых итераций
• метод асимптотического интегрирования
• изменяемость
• весовой коэффициент