Analysis of the Fields of Displacements and Stresses in an Orthotropic Toroidal Shell Depending on the Changes in its Thickness and in the Curvature of its Axis
Abstract:A numerical-analytic approach is used to study the stress-strain state of orthotropic toroidal shells of variable thickness. The problem is solved with the use of a nonclassical Timoshenko-type shell theory based on the model of a rectilinear element. The system of partial differential equations is reduced to a one-dimensional problem by applying the method of spline approximation in one coordinate direction. The boundary-value problem for the system of ordinary differential equations is solved by the stable n… Show more
“…Then, the spline approximation and discrete orthogonalization methods were used to study the stressed state of orthotropic shells in the refined statement. Thus, work [3] considered the shells of different curvature; paper [4] -shells of different thicknesses. The use of B-splines to solve the static problems for plates with parameters that change in two coordinate directions was reported in study [5].…”
Section: Literature Review and Problem Statementmentioning
“…Then, the spline approximation and discrete orthogonalization methods were used to study the stressed state of orthotropic shells in the refined statement. Thus, work [3] considered the shells of different curvature; paper [4] -shells of different thicknesses. The use of B-splines to solve the static problems for plates with parameters that change in two coordinate directions was reported in study [5].…”
Section: Literature Review and Problem Statementmentioning
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