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Mathematical model of dissipative parametric vibrations of flexible plates with nonhomogeneous boundary conditions

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Author(s): J. Awrejcewicz | V. A. Krysko | T. Moldenkova

Journal: Mathematical Problems in Engineering
ISSN 1024-123X

Volume: 2006;
Date: 2006;
Original page

ABSTRACT
In this work, parametric vibrations of flexible squared plates with changeable boundary conditions along their contours are studied. The known T. von Kármán equations serve as a mathematical model. This continuous system is reduced to a discrete one through the method of finite approximations of O( h 4 ) order, which is solved further by the fourth-order Runge-Kutta technique. New scenarios of transition from harmonic to chaotic vibrations are reported.
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