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Limit Cycle Oscillations of an Aerodynamic Pendulum

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Applied Non-Linear Dynamical Systems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 93))

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Abstract

Dynamics of an aerodynamic pendulum in low-speed airflow is studied using the phenomenological model, where the internal dynamics of the flow is simulated using an oscillator attached to the pendulum. Limit cycle oscillations occurring in the vicinity of the “along the flow” equilibrium at a certain range of wind speeds are studied. Their evolution under changing system parameters (wind speed, holder length, etc.) is analyzed. Experimental study of such oscillations of the aerodynamic pendulum is performed in the subsonic wind tunnel of the Institute of Mechanics of Lomonosov Moscow State University for different wind speeds and different structural parameters of the pendulum. It is shown that results of experiments are in good enough agreement with simulation results.

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Acknowledgements

The work is supported by Russian Foundation for Basic Research (grant No. 12-01-00364).

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Correspondence to Yury D. Selyutskiy .

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Selyutskiy, Y.D. (2014). Limit Cycle Oscillations of an Aerodynamic Pendulum. In: Awrejcewicz, J. (eds) Applied Non-Linear Dynamical Systems. Springer Proceedings in Mathematics & Statistics, vol 93. Springer, Cham. https://doi.org/10.1007/978-3-319-08266-0_31

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