N. N. Kryukov

Spline-approximation solution of problems of the statics of orthotropic shallow shells with variable parameters

An approach to the solution of problems of the statics of shallow orthotropic shells is proposed. It is based on reducing a two-dimensional boundary value problem to a one-dimensional one using the spline-collocation method and solution of the problem by the stable numerical method of discrete orthogonalization. Solutions are presented for problems on the stress state of orthotropic shells of double curvature for several values of the elastic constants of the material.

Stress Analysis of Biconvex Laminated Orthotropic Shells that are Shallow to a Variable Degree

The stress–strain state of biconvex laminated orthotropic shells is analyzed against the degree of shallowness and the parameters of orthotropy. Numerical values of deflections and stresses are obtained by solving two-dimensional boundary-value problems using spline-functions and the discrete-orthogonalization method. The effect of the rise of shells on the displacement and stress fields is analyzed for different parameters of orthotropy

Numerical solution of the problem of nonlinear deformation of an immersed cylindrical panel

The paper presents a numerical analysis of the deformation of an infinitely long flexible cylindrical panel of variable thickness immersed in a liquid with a concentrated force applied along the panel generator in the symmetry plane. The nonlinear boundary-value problem is solved by the linearization method combined with the discrete orthogonalization method. We examine the effect of variable thickness on the deformation of the panel for various initial values of the radius of curvature.

Numerical analysis of the nonlinear deformation of a spherical pressure vessel made of laminated glass-plastic

The strength and stiffness characteristics of fiber composites are such as to permit their use in many sectors of technology in the manufacture of structural elements having the form of thin-walled shells of revolution of different shapes and structures. The studies [i, 2, 8, i0, ii] examined their stress-strain state, these investigations having solved problems with allowance for variability of the properties of the composites under different loading conditions in different types of structures. Shells of revolution made by the method of continuous winding are widely used as pressure cylinders, tanks, pipelines, and other structures. Most studies of the stress-strain state of such shell elements have been made in a linear formulation. Complicating the service conditions of the structures and increasing the loads while maintaining strict requirements in regard to reliability and weight characteristics make it necessary to use nonlinear models of deformation.