Abstract
The article proposes a numerical-analytical solution to the problem of axisymmetric loading of the closed cylindrical shell, taking into account the creep of the material. The calculation is performed using the functions of A.N. Krylov in combination with the method of Euler and Runge-Kutta of the fourth order. Comparison with the solution using the finite difference method is presented.
Highlights
In paper [1] we earlier considered the problem of calculating the axis symmetrically loaded circular cylindrical shell taking into account the creep of the material
Equation (1) was solved numerically by the finite difference method. In this problem, there is a pronounced edge effect at the base of the shell, and a sufficiently dense mesh is required for the correct calculation
We propose the numerical-analytical method that allows one to more accurately take into account the edge effect in the support zone
Summary
In paper [1] we earlier considered the problem of calculating the axis symmetrically loaded circular cylindrical shell (figure 1) taking into account the creep of the material. – cylindrical stiffness, E and ν – respectively, the modulus of elasticity and the Poisson's ratio of the material, h – shell thickness, Nx*. Equation (1) was solved numerically by the finite difference method. In this problem, there is a pronounced edge effect at the base of the shell, and a sufficiently dense mesh is required for the correct calculation. We propose the numerical-analytical method that allows one to more accurately take into account the edge effect in the support zone
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