Dynamic response of plates resting on a fractional viscoelastic foundation and subjected to a moving load

Abstract

The dynamic behavior of the thin plates resting on a fractionally damped viscoelastic foundation subjected to a moving point load is investigated. This work explores the application of fractional calculus in the modeling of a viscoelastic foundation. A parametric study is executed to determine the impacts of the fractional-order derivative, foundation parameters, velocity and acceleration of the moving load on the dynamic behavior of the plate. The results show that the damping of the foundation system increases with increasing the order of the fractional derivative, which leads to a decrease in the dynamic response.

Keywords:

• Fractional viscoelasticity
• plate vibration
• fractional damping
• viscoelastic foundation
• moving load