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DYNAMICS OF AERODYNAMIC PENDULUM WITH ELASTICLY FIXED SUSPENSION POINT

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Abstract

The dynamics of an aerodynamic pendulum with an elastically fixed suspension point is considered. The stability of the equilibrium position “along the flow” is studied. In particular, conditions for the parameters under which an increase in the flow velocity leads to the stabilization of this equilibrium are found. In addition, it is shown that, under certain conditions, the character of stability changes three times when the damping coefficient of the helical spring installed at the suspension point changes from zero to infinity. Approximation formulas for the cycles existing in the system under the assumption that their amplitudes are small are obtained. Numerical simulation of the system dynamics has been carried out. Estimates for the coefficient characterizing the efficiency of the flow power conversion using considered pendulum are given. A nonmonotonic dependence of this coefficient on the distance between the center of mass of the pendulum and the suspension point, as well as on the flow velocity, is demonstrated.

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Funding

The study was supported by the Interdisciplinary Scientific and Educational School of Moscow University “Fundamental and Applied Space Research”.

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Authors and Affiliations

  1. Institute of Mechanics, Lomonosov Moscow State University, 119192, Moscow, Russia

    Yu. D. Selyutskiy

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  1. Yu. D. Selyutskiy
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Correspondence to Yu. D. Selyutskiy.

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Translated by A.Borimova

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Selyutskiy, Y.D. DYNAMICS OF AERODYNAMIC PENDULUM WITH ELASTICLY FIXED SUSPENSION POINT. Mech. Solids 57, 792–803 (2022). https://doi.org/10.3103/S0025654422040173

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