Skip to main content
Log in

Random Oscillations of an Antiphase-Excited Aeroelastic System with Synchronization

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. H. G. Schuster, Deterministic Chaos: An Introduction, Physik-Verlag, Weinheim (1984).

    Google Scholar 

  2. I. I. Blekhman, Synchronization of Dynamic Systems [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  3. A. L. Tukmakov, “Origination of in-phase oscillations of thin plates with aeroelastic interaction," Appl. Mech. Tech. Phys., 44, No. 1, 64–68 (2003).

    Google Scholar 

  4. K. Fletcher, Computational Techniques for Fluid Dynamics, Springer-Verlag, Heidelberg (1988).

    Google Scholar 

  5. J. L. Steger, “Implicit finite-difference simulation of flow about arbitrary two-dimensional geometries," AIAA J., 16, No. 7, 679–686 (1978).

    Google Scholar 

  6. Kh. M. Mushtari and K. Z. Galimov, Nonlinear Theory of Elastic Shells [in Russian] Tatgiz, Kazan' (1957).

    Google Scholar 

  7. A. S. Vol'mir, Shells in Liquid and Gas Flows. Problems of Aeroelasticity [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  8. M. A. Il'gamov, "Nonreecting conditions on computation-domain boundaries," in: Dynamics of Shells in Flows, Workshop Proceedings, Issue 18, Kazan' Phys.-Tech. Inst., Kazan' Branch of the USSR Academy of Sciences (1985), pp. 4–76.

  9. 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).

    Google Scholar 

  10. A. L. Tukmakov,“ Nonlinear vibration model of an elastic panel under periodic loading," J. Appl. Mech. Tech. Phys., 41, No. 1, 171–175 (2000).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026227519128

Navigation