Dynamic Analysis of Viscoelastic Piles Based on Fractional Derivative Model

Research results indicated that concrete piles have viscoelastic properties.In order to accurately analyze dynamic properties of viscoelastic piles,an accurate constitutive model is established in this paper.The dynamic governing equations for viscoelastic piles based on the fractional derivative model with viscoelastic theory and stress wave theory are established.The Zhang-Shimizu numerical integration method of fractional derivative is employed for the numerical solution of the governing equations.Result indicates that the order of fractional dervative operator and the viscosity-to-elasticity ratio have great influence on the speed of decay and period of attenuation of the pile's end.