Dynamic Analysis of Viscoelastic Piles Based on Fractional Derivative Model

The results show that concrete piles have viscoelastic properties.In order to analyze the vibration characteristics,we must establish the constitutive model exactly.The dynamic equation of viscoelastic piles described by fractional derivative model was developed by fractional derivative theory,viscolestic theory and stress wave theory,and the numerical solution was obtained by using ZhangShimizu fractional derivative numerical integration method.Result indicated that the order of fractional derivative operator and visco-elastic ratio had great influence on the speed and period of attenuation of pile's velocity.