Abstract
We examine synchronization of the oscillatory motion of thin elastic cylindrical plates forming the walls of a channel filled by a gas. The gas motion in the channel is described by a system of Navier–Stokes equations solved by the MacCormack method of second-order accuracy. The motion of the channel walls is described by a system of dynamic, geometrically nonlinear equations of the thin-shell theory; this system is solved by the finite difference method. Kinematic and dynamic contact conditions are set at the interface between the media. By means of a numerical experiment, possible scenarios of the transition of the aeroelastic system to in-phase oscillations were identified, and the regime of random oscillations in the system with synchronization under antiphase external excitation was found.
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Tukmakov, A.L. Random Oscillations of an Antiphase-Excited Aeroelastic System with Synchronization. Journal of Applied Mechanics and Technical Physics 44, 790–795 (2003). https://doi.org/10.1023/A:1026227519128
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DOI: https://doi.org/10.1023/A:1026227519128