| Abstract: | Using the method of straight lines, problems of elasticity theory for a noncircular hollow cylinder are investigated. By means
of separation of variables along the generatrix and finite-difference approximation across the thickness, the input partial
differential equations are reduced to a system of ordinary differential equations, which is solvable by the stable numerical
method of discrete orthogonalization. Specific features of application of the method proposed to static and dynamic problems
of a hollow noncircular cylinder are illustrated by way of examples. Bibliography: 5 titles.
Translated from,Obchyslyuval’na ta Prykladna Matematyka, No. 76, 1992, pp. 89–87. |
