Showing papers by "Ya. M. Grigorenko published in 2004"
TL;DR: In this paper, an approach is developed to solve stress-strain problems in a refined formulation for orthotropic cylindrical shells of variable thickness and noncircular cross section.
Abstract: An approach is developed to solve stress–strain problems in a refined formulation for orthotropic cylindrical shells of variable thickness and noncircular cross section. It is shown, as an example, how the distributions of deflections and stresses depend on changes in the shell thickness at constant weight
21 citations
TL;DR: In this article, an approach based on three-dimensional elastic equations to solve boundary-value stress problems for hollow cylinders with corrugated elliptical cross section is presented, where the discrete Fourier series is used to make the problem one-dimensional and then to solve it by the stable discrete orthogonalization method.
Abstract: The paper presents an approach based on three-dimensional elastic equations to solve boundary-value stress problems for hollow cylinders with corrugated elliptical cross section. Discrete Fourier series are used to make the problem one-dimensional and then to solve it by the stable discrete orthogonalization method. Solutions for cylinders of different thicknesses are presented
21 citations
TL;DR: In this paper, the influence of varying thickness at constant mass on the stress-strain state of orthotropic cylindrical shells with elliptic cross-section was analyzed by solving two-dimensional boundary-value problems.
Abstract: The influence of varying thickness at constant mass on the stress–strain state of orthotropic cylindrical shells with elliptic cross-section is analyzed by solving two-dimensional boundary-value problems
12 citations
TL;DR: In this article, the authors proposed an approach to solve three-dimensional stress problems for hollow orthotropic cylinders with noncircular cross section and certain end conditions based on the method of separation of generatrix and directrix variables, discrete Fourier series and the stable method of discrete orthogonalization.
Abstract: The paper proposes an approach to solving three-dimensional stress problems for hollow orthotropic cylinders with noncircular cross section and certain end conditions. The approach is based on the method of separation of generatrix and directrix variables, discrete Fourier series, and the stable method of discrete orthogonalization. The results of analysis of an orthotropic cylinder are presented
9 citations
TL;DR: In this article, the stress-strain state of elliptic cylindrical shells under local loads is analyzed, and the authors show that the stress of these shells is independent of the density of the shells.
Abstract: The stress-strain state of elliptic cylindrical shells under local loads is analyzed.
7 citations
TL;DR: In this article, the influence of corrugation frequency and amplitude on the displacement and stress fields is analyzed based on an approach to solving stress problems for corrugated elliptical cylinders with certain end conditions.
Abstract: The influence of corrugation frequency and amplitude on the displacement and stress fields is analyzed based on an approach to solving stress problems for corrugated elliptical cylinders with certain end conditions.
6 citations