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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References
Andronov, P.R., Guvernyuk, S.V., Dynnikova, G.Ya.: Vortex Method of Calculation of Unsteady Hydrodynamic Loads. Moscow University Press, Moscow (2006)
Belotserkovsky, S.M., Lifanov, I.K.: Method of Discrete Vortices. CRC Press, Boca Raton, Florida (1993)
Goman, M.G., Khrabrov, A.N.: State-space representation of aerodynamic characteristics of an aircraft at high angles of attack. J. Aircraft 31, 1109–1115 (1994)
Hansen, M.H., Gaunaa, M., Madsen, H.A.: A Beddoes-Leishman type dynamic stall model in state-space and indicial formulations. Risø-R-1354(EN) (2004)
Lokshin, B.Ya., Samsonov, V.A.: On heuristic model of aerodynamical pendulum. Fundam. Prikl. Mat. 4 (3), 1047–1061 (1998)
Marsden, C.C., Price, S.J.: The aeroelastic response of a wing section with a structural freeplay nonlinearity: An experimental investigation. J. Fluids Struct. 21, 257–276 (2005)
Meyer, M., Matthies, H.G.: State-space representation of instationary two-dimensional airfoil aerodynamics. J. Wind Eng. Ind. Aerod. 92, 263–274 (2004)
Poirel, D., Harris, Y., Benaissa, A.: Self-sustained aeroelastic oscillations of a NACA0012 airfoil at low-to-moderate Reynolds numbers. J. Fluids Struct. 24, 700–719 (2008)
Poirel, D., Price, S.J.: Random binary (coalescence) flutter of a two-dimensional linear airfoil. J. Fluids Struc. 18, 23–42 (2003)
Runyan, H.R.: Single-degree-of-freedom-flutter calculations for a wing in subsonic potential flow and comparison with an experiment. NACA Reports 1089, 1–8 (1952)
Samsonov, V.A., Sapunkov, G.I.: Stability research of double pendulum construction in a flow. In: Proceedings of 5th International Conference Of Cranes and Textile Mach. EUROCRANE 96, 250–256 (1996)
Samsonov, V.A., Selyutskiy, Yu.D.: Phenomenological model of interaction of a plate with a flow. J. Math. Sci. 146(3), 5826–5839 (2007)
Selyutskiy, Yu.D., Samsonov, V.A., Andronov, P.A.: On oscillations of aerodynamic pendulum. Int. J. Struct. Stability Dynam. (2013), doi: 10.1142/S0219455413400105
Shao, S., Zhu, Q., Zhang, C., Ni, X.: Airfoil aeroelastic flutter analysis based on modified Leishman-Beddoes model at low mach number. Chinese J. Aeronaut. 24, 550–557 (2011)
Strganac, T.W., Ko, J., Thompson, D.E., Kurdila, A.J.: Identification and control of limit cycle oscillations in aeroelastic systems. J. Guid. Contr. Dynam. 23(6), 1127–1133 (2000)
Acknowledgements
The work is supported by Russian Foundation for Basic Research (grant No. 12-01-00364).
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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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DOI: https://doi.org/10.1007/978-3-319-08266-0_31
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