Numerical solution of the problem of the stress-strain state in hollow cylinders using spline approximations |
| |
| Authors: | A Ya Grigorenko W H Müller R Will S N Yaremchenko |
| |
| Institution: | 1.Timoshenko Institute of Mechanics,National Academy of Sciences of Ukraine,Kiev,Ukraine;2.Technical University of Berlin,Berlin,Germany |
| |
| Abstract: | The three-dimensional theory of elasticity is used for a study of the stress-strain state in a hollow cylinder with varying
stiffness. The corresponding problem is solved by a method that is partly analytical and partly numerical in nature: Spline
approximations and collocation are used to reduce the partial differential equations of elasticity to a boundary-value problem
for a system of ordinary differential equations of higher order for the radial coordinate, which is then solved using the
method of stable discrete orthogonalization. Results for an inhomogeneous cylinder for various types of stiffness are presented. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
