 | | 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
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| In English (Mech. Solids): | | 4760 |
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| Rosenblat G.M., "On the balance of an inextensible heavy thread on a cone or sphere," Mech. Solids. 56 (3), 349-367 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
3 |
Pages |
349-367 |
| DOI |
10.3103/S0025654421030092 |
| Title |
On the balance of an inextensible heavy thread on a cone or sphere |
| Author(s) |
Rosenblat G.M. (Moscow State Automobile and Road Technical University, Moscow, 125319 Russia, gr51@mail.ru) |
| Abstract |
The problem of finding equilibrium configurations of a heavy inextensible closed thread (chain) on a smooth surface is considered. The surface is a one-way bond for the thread and is either a circular cone, the axis of which is parallel to the vertical (gravity), or a sphere. It is shown: 1) for a cone, equilibrium non-horizontal configurations of a thread-chain are possible only when the opening angle of the cone is within the range from 60 to 90 degrees; 2) for a sphere, equilibrium non-horizontal configurations of a thread-chain are impossible. |
| Keywords |
flexible inextensible thread, equilibrium, cone, sphere, elliptic integral of the third kind |
| Received |
31 August 2020 | Revised |
01 September 2020 | Accepted |
02 September 2020 |
| Link to Fulltext |
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