 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 56, Issue 6 / 2021 | Next article >> |
| Markov I.P. and Igumnov L.A., "Reconstruction of the Time Dependence of a Transient Boundary Load Applied to a Three-Dimensional Isotropic Linearly Elastic Solid," Mech. Solids. 56 (6), 1004-1012 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
6 |
Pages |
1004-1012 |
| DOI |
10.3103/S0025654421060108 |
| Title |
Reconstruction of the Time Dependence of a Transient Boundary Load Applied to a Three-Dimensional Isotropic Linearly Elastic Solid |
| Author(s) |
Markov I.P. (Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, 603022 Russia, teanku@gmail.com)
Igumnov L.A. (Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, 603022 Russia, igumnov@mech.unn.ru) |
| Abstract |
A technique for identifying the time dependence of an transient boundary load with a known spatial distribution acting on a three-dimensional isotropic elastic body is presented. Reconstruction of loading is carried out in the frequency domain according to the measured response of a certain variable caused by the action of the sought load. The solutions of an auxiliary direct problem constructed in a special way are used. The numerical direct and inverse Laplace transforms are used. The auxiliary problem is solved by the boundary element method. Detailed results of a illustrative numerical example are given. The obtained solutions are found to be in good agreement with the results of direct measurements. |
| Keywords |
inverse problems, load identification, Laplace transform, boundary element method |
| Received |
30 April 2021 | Revised |
10 May 2021 | Accepted |
22 May 2021 |
| Link to Fulltext |
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