 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| Selyutskiy Yu.D., "Limit Cycles in the Dynamics of an Elastically Mounted Aerodynamic Pendulum," Mech. Solids. 57 (1), 111-120 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
1 |
Pages |
111-120 |
| DOI |
10.3103/S0025654422010137 |
| Title |
Limit Cycles in the Dynamics of an Elastically Mounted Aerodynamic Pendulum |
| Author(s) |
Selyutskiy Yu.D. (Research Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192 Russia, seliutski@imec.msu.ru) |
| Abstract |
The dynamics of a elastically mounted single-link aerodynamic is considered. The unsteady aerodynamic action is modeled using an attached oscillator. It is assumed that the stiffness of the mounting spring contains cubic term, in addition to the linear one. Equilibrium positions of the pendulum and their stability are investigated. It is shown, in particular, that at certain values of the parameters of the system, the "weather vane" equilibrium position becomes unstable, and an attracting limit cycle arises. Approximate formulas for the frequency and amplitude of this cycle are obtained. It is shown that, in a wide range of parameter values, its frequency practically does not depend on the coefficient of stiffness of the fastening spring and on the moment of inertia of the pendulum. The amplitude of the cycle increases with an increase in the moment of inertia and decreases with an increase in the stiffness coefficient. |
| Keywords |
oscillations, stability, aeroelasticity, aerodynamic pendulum, body in a medium flow |
| Received |
21 January 2021 | Revised |
05 February 2021 | Accepted |
22 March 2021 |
| Link to Fulltext |
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