Abstract
Synchronization of oscillations of thin elastic plates that are walls of a gas‐filled channel is considered. The gas motion is described by a system of Navier–Stokes equations, which is solved using the second‐order MacCormack method with time splitting. The motion of the channel walls is described by a system of geometrically nonlinear dynamic equations of the theory of this plates, which is solved by the finite‐difference method. Kinematic and dynamic contact conditions are imposed at the interface between the media. A numerical experiment is performed to determine typical dynamic regimes and study the transition of the aeroelastic system to in‐phase oscillations.
Similar content being viewed by others
REFERENCES
H. G. Schuster, Deterministic Chaos: An Introduction, Physik-Verlag, Weinheim (1984).
P. Bergé, Y. Pomeau, and C. Vidal, L'ordre Dams le Chaos. Vers une Approchen Determeniste de la Turbulence, Paris, Hermann (1988).
C. Fletcher, Computational Techniques for Fluid Dynamics, Springer-Verlag, Heidelberg (1988).
J. L. Steger, “Implicit finite-difference simulation of ow about arbitrary two-dimensional geometries,” AIAA J., 16, No. 7, 679-686 (1978).
V. M. Kovenya, G. A. Tarnavskii, and S. G. Chernyi, Application of the Splitting Method in Aerodynamic Problems [in Russian], Nauka, Novosibirsk (1990).
A. S. Vol'mir, Flexible Plates and Shells [in Russian], Gostekhteoretizdat, Moscow (1956).
A. S. Vol'mir, Shells in Liquid and Gas Flows. Problem of Aeroelasticity [in Russian], Nauka, Moscow (1976).
A. L. Tukmakov and R. G. Zaripov, “Numerical simulation of subharmonic oscillations of a gas in a closed tube,” Izv. Vyssh. Uchebn. Zaved., Aviats. Tekh., No. 1, 64-67 (2001).
A. L. Tukmakov, “Nonlinear vibration model of an elastic panel under periodic loading,” J. Appl. Mech. Tech. Phys., 41, No. 1, 186-191 (2000).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tukmakov, A.L. Origination of In‐Phase Oscillations of Thin Plates with Aeroelastic Interaction. Journal of Applied Mechanics and Technical Physics 44, 64–68 (2003). https://doi.org/10.1023/A:1021729729960
Issue Date:
DOI: https://doi.org/10.1023/A:1021729729960