 | | 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
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 58, Issue 8 / 2023 | Next article >> |
| S.A. Kumakshev, "Self-Sustained Oscillations and Limit Cycles in the Rayleigh System with Cubic Return Force," Mech. Solids. 58 (8), 2764-2769 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
8 |
Pages |
2764-2769 |
| DOI |
10.3103/S0025654423080125 |
| Title |
Self-Sustained Oscillations and Limit Cycles in the Rayleigh System with Cubic Return Force |
| Author(s) |
S.A. Kumakshev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, kumak@ipmnet.ru) |
| Abstract |
An oscillatory system with an excitation mechanism as in a Rayleigh oscillator, but with a
nonlinear (cubic) returning force, is investigated. Using the accelerated convergence method and the
continuation procedure for the parameter, limit cycles are constructed and the amplitudes and periods
of self-oscillations are calculated. This is done for a wide range of feedback coefficient values, in which
this coefficient is not asymptotically small or large. The proposed iterative procedure allows the specified accuracy of calculations to be obtained. The analysis of the features of the limit cycle caused by
an increase in the self-excitation coefficient is carried out. The results obtained are compared with the
self-oscillations of a classical Rayleigh oscillator with a linear returning force. |
| Keywords |
self-oscillations, limit cycle, Rayleigh oscillator |
| Received |
04 June 2023 | Revised |
13 July 2023 | Accepted |
20 July 2023 |
| Link to Fulltext |
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