Random oscillations of an antiphase-excited aeroelastic system with synchronization

A. L. Tukmakov

Institute of Mechanics and Mechanical Engineering, Kazan' Scientific Center, Russian Academy of Sciences, Kazan', 420111

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.

Keywords: channel with elastic walls, oscillation characteristics, numerical computations.

UDC: 533.6.013.42

Received: 08.04.2003

 English version: Journal of Applied Mechanics and Technical Physics, 2003, 44:6, 790–795

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