 | | 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 54, Issue 8 / 2019 | Next article >> |
| V.R. Barseghyan, "Control Problem of String Vibrations with Inseparable Multipoint Conditions at Intermediate Points in Time," Mech. Solids. 54 (8), 1216-1226 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
8 |
Pages |
1216-1226 |
| DOI |
10.3103/S0025654419080120 |
| Title |
Control Problem of String Vibrations with Inseparable Multipoint Conditions at Intermediate Points in Time |
| Author(s) |
V.R. Barseghyan (Yerevan State University, Alex Manoogian 1, Yerevan, 375025 Republic of Armenia; Institute of Mechanics, National Academy of Sciences of Republic of Armenia, Marshal Baghramian ave. 24b, Erevan, 0019 Republic of Armenia, barseghyan@sci.am) |
| Abstract |
The problem of controlling the vibrations of a string with given inseparable values of the deflection function and velocities at intermediate times is considered. By the method of separation of variables, the problem reduces to the problem of controlling ordinary differential equations with given initial, final, and unseparated multipoint intermediate conditions. The problem is solved using methods of the theory of control of finite-dimensional systems with multipoint intermediate conditions. As an application of the proposed approach, a control action is constructed for the control problem of string vibrations with specified unseparated conditions on the values of the deflection function and string velocities at two intermediate points in time. |
| Keywords |
vibration control, string vibration, intermediate values, inseparable multipoint conditions, control |
| Received |
19 February 2019 |
| Link to Fulltext |
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