No abstract

No abstract

No abstract

We investigate the mean-square stability for single-degree-of-freedom linear systems with random parametric excitation. The excitation is assumed to be of the form of a Gaussian stationary non-white process. We propose a new numerical approach to determine regions of parametric resonances based on a closure procedure for hierarchy of moment equations. Mean-square stability charts are obtained using the numerical analysis of eigenvalues for large-scale matrices. The results show three parametric resonances for narrowband excitations.

The parametric resonance in two coupled oscillators driven by a Gaussian colored parametric noise is investigated. It is shown that the resonance depends essentially on the form of coupling. The phenomenon is illustrated by stability diagrams, which are obtained numerically.

No abstract

We formulate a local existence theorem for the initial-boundary value problems of generalized thermoelasticity and classical elasticity. We present a unified approach to such boundary conditions as, for example, the boundary condition of traction, pressure or place combined with the boundary condition of heat flux or temperature.

In this paper the local existence, uniqueness and continuous dependence for smooth solutions to the initial value problem for a class of generalized (dependent on the time derivative of temperature) thermoelastic materials is proved. The field equations are written as a quasilinear hyperbolic system and the known results by Hughes, Kato and Marsden are applied.