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

J. Awrejcewicz, V. A. Krysko and T. Moldenkova

Mathematical Problems in Engineering, 2006, vol. 2006, 1-16

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:085623

DOI: 10.1155/MPE/2006/85623

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