%0 Journal Article
%T Mathematical model of dissipative parametric vibrations of flexible plates with nonhomogeneous boundary conditions
%A J. Awrejcewicz
%A V. A. Krysko
%A T. Moldenkova
%J Mathematical Problems in Engineering
%D 2006
%I Hindawi Publishing Corporation
%R 10.1155/mpe/2006/85623
%X 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(h4) order, which is solved further by the fourth-order Runge-Kutta technique. New scenarios of transition from harmonic to chaotic vibrations are reported.
%U http://www.hindawi.com/journals/mpe/2006/085623/abs/