 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 58, Issue 4 / 2023 | Next article >> |
| V.R. Bogdanov, "One Approach to the Plane Problem on Impact of Timoshenko-Type Shells on Elastic Half-Space," Mech. Solids. 58 (4), 1126-1136 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
4 |
Pages |
1126-1136 |
| DOI |
10.3103/S002565442360037X |
| Title |
One Approach to the Plane Problem on Impact of Timoshenko-Type Shells on Elastic Half-Space |
| Author(s) |
V.R. Bogdanov (Progressive Research Solutions Pty Ltd, Sydney, Australia, vladislav_bogdanov@hotmail.com, mr.vbogdanov@gmail.com) |
| Abstract |
The article presents an attempt to solve the plane problem on the impact of an elastic Timoshenko shell on an elastic half-space using the method of reducing problems of dynamics to the solution of a Volterra's infinite system of integral equations (ISIE) of the second kind. It is shown that such an approach is not acceptable. When discretizing the reduced Volterra's ISIE of the second kind, a poorly defined system of linear algebraic equations is obtained: as the reduction order increases, the determinant of such a system tends to infinity. This circumstance shows the limitations of this approach. |
| Keywords |
impact, half-space, plane problem, cylindrical shell |
| Received |
13 September 2022 | Revised |
15 September 2022 | Accepted |
06 October 2022 |
| Link to Fulltext |
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