Random Vibrations of Elastic Beams and Circular Plates Resting on Viscoelastic Foundations

Abstract

Analytical and numerical results are reported for the dynamic responses of elastic beams and circular plates resting on viscoelastic foundations and excited by stationary, wide-band random forces. Each viscoelastic foundation is treated as a series of an infinite number of many spring-dashpot systems. Three different types of linear viscoelastic models, namely, the Kelvin-Voigt, Maxwell, and Linear Standard Solid, are considered. Numerical results are presented for free-edged elastic beams and circular plates.