Mathematical Simulations of Deformation for the Rotation Shells with Variable Wall Thickness

Abstract

Well-posed boundary value problems are constructed for calculating rotation shells of with a stiffness variable along the meridian in two directions, and also with variable bilateral with respect to the reference surface with the shell wall thickness. Algorithms for the numerical integration of systems of differential equations with variable coefficients are discussed.

Keywords

• boundary value problem
• system of differential equations
• shells of revolution
• variable wall thickness
• straight line method
• fourier method
• sweep method