 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| A.S. Okonechnikov, D.V. Tarlakovsky, and G.V. Fedotenkov, "Spatial Non-Stationary Contact Problem for a Cylindrical Shell And Absolutely Rigid Body," Mech. Solids. 55 (3), 366-376 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
3 |
Pages |
366-376 |
| DOI |
10.3103/S0025654420030127 |
| Title |
Spatial Non-Stationary Contact Problem for a Cylindrical Shell And Absolutely Rigid Body |
| Author(s) |
A.S. Okonechnikov (Moscow Aviation Institute (National Research University), Moscow, 125080 Russia)
D.V. Tarlakovsky (Moscow Aviation Institute (National Research University), Moscow, 125080 Russia; Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192 Russia)
G.V. Fedotenkov (Moscow Aviation Institute (National Research University), Moscow, 125080 Russia; Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192 Russia, greghome@mail.ru) |
| Abstract |
A spatial non-stationary contact problem with moving boundaries of the interaction region for a thin elastic cylindrical shell and an absolutely solid impactor bounded by a smooth convex surface is considered. A closed mathematical formulation is given and a system of resolving equations is constructed. The latter is based on the spatio-temporal integral equation resulting from the principle of superposition and contact conditions. The core of this equation is the influence function for the cylindrical shell. To a closed system of resolving equations, it is supplemented by a kinematic relation for determining the moving boundary of the contact region and the equation of motion of the impactor as an absolutely rigid body. An algorithm for solving the spatial non-stationary contact problem for an infinitely long cylindrical shell and absolutely solid impactor in the case of a normal impact on the side surface of the shell is constructed and implemented. Examples of calculations are given. |
| Keywords |
spatial non-stationary contact problems, cylindrical shell, superposition method, Fourier series, integral transforms, influence functions, numerical-analytical algorithms |
| Received |
10 December 2019 | Revised |
18 December 2019 | Accepted |
23 December 2019 |
| Link to Fulltext |
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