Damping Properties of the Viscoelastic Material Described by Fractional Kelvin-Voigt Model

Abstract

Damping properties of viscoelastic materials modeled by the fraction Kelvin-Voigt constitutive law are discussed in detail.The uniqueness and superiority of the material damping were stressed when compared with the materials described by the ordinary Kelvin-Voigt model.The initial conditions for the governing fractional differential equation are obtained and manipulated carefully.A new characteristic index, viscosity / elasticity ratio, was introduced to serve as a comparison criterion for the discussion of damping performance.The dynamic behaviors associated with some initial conditions, particularly those which were previously unavailable, are studied.The results obtained, along with the abundant data, form the basis for understanding the dynamic behaviors of these kinds of viscoelastic materials and may initiate the development of a new generation of the viscoelastic materials based on silicone gel in industry.