 | | 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
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| In English (Mech. Solids): | | 4810 |
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| Nesterov S.V. and Baydulov V.G., "Class of Auto-Oscillating Systems," Mech. Solids. 55 (8), 1157-1161 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
8 |
Pages |
1157-1161 |
| DOI |
10.3103/S0025654420080208 |
| Title |
Class of Auto-Oscillating Systems |
| Author(s) |
Nesterov S.V. (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia)
Baydulov V.G. (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia; Bauman Moscow State Technical University, Moscow, 105005 Russia, bayd@ipmnet.ru) |
| Abstract |
This article proposes a model that generalizes the well-known equations of the nonlinear
theory of oscillations (Van der Pol and Rayleigh equations), the limit cycles of which are the curves of
the phase plane, determined by the total energy of oscillations in the absence of dissipation/energy
inflow into the system. By changing the parameters of the system and the type of force action, it is possible to set the oscillation characteristics that are resistant to disturbances. The phase portraits of the
system are considered, including the case of multiply connected limit cycles. |
| Keywords |
self-oscillations, Van der Pol equation, Rayleigh equation, wave solid-state gyroscope |
| Received |
15 June 2020 | Revised |
18 August 2020 | Accepted |
25 September 2020 |
| Link to Fulltext |
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