Transversal vibrations of a double circular plate system with visco-elastic layer excited by a random temperature field

Abstract

This paper studies the effect of a non-homogenous random temperature field on the transversal vibrations of a double circular plate system with a visco-elastic layer. A corresponding system of partial differential equations as well as the Itô stochastic differential equations for amplitudes and phases in the first asymptoic aproximation are derived. The presented results reveal that one eigen mode in the like two-frequency oscillations does not depend on the frequencis of the other infinite number modes of the possible system oscillations. Furthermore, the analytical expressions of Lyapunov exponents of component random oscillations are derived.