 | | 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: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| L.A. Klimina, "Method for Generating Asynchronous Self-Sustained Oscillations of a Mechanical System with Two Degrees of Freedom," Mech. Solids. 56 (7), 1167-1180 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
7 |
Pages |
1167-1180 |
| DOI |
10.3103/S0025654421070141 |
| Title |
Method for Generating Asynchronous Self-Sustained Oscillations of a Mechanical System with Two Degrees of Freedom |
| Author(s) |
L.A. Klimina (Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192 Russia, klimina@imec.msu.ru) |
| Abstract |
An autonomous nonconservative mechanical system with two degrees of freedom is studied.
The system is subject to a feedback control with two control impact gain factors. It is required to select
the values of these factors in such a way as to ensure existence of asynchronous self-sustained oscillations with prescribed properties. An iterative method is proposed to search for the corresponding values of control impact gain factors. This approach is based on constructing auxiliary second-order systems and generating limit cycles in these systems. The algorithm that is used for this purpose represents
a modification of the Andronov–Pontryagin method, but does not require the presence of a small
parameter in the system. The efficiency of this approach is illustrated on a problem of generating asynchronous self-sustained oscillations/rotations in a model of an aerodynamic pendulum. The applicability conditions of the algorithm and the possible modifications are discussed. |
| Keywords |
asynchronous self-sustained oscillations, autonomous nonconservative system, feedback control, iterations, averaging, Andronov–Pontryagin method, aerodynamic pendulum |
| Received |
15 September 2020 | Revised |
21 December 2020 | Accepted |
12 January 2021 |
| Link to Fulltext |
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