Theoretical and Numerical Analysis of Soil-Pipe Pile Horizontal Vibration Based on the Fractional Derivative Viscoelastic Model

<div>The horizontal dynamic impedance curves of pipe pile under different model parameter ratios (τ1 = τIa/τOa). (a) Real part of horizontal dynamic impedance. (b) Imaginary part of horizontal dynamic impedance.</div>

Advances in Civil Engineering

fig15

Figure 15

Figure 15: Theoretical and Numerical Analysis of Soil-Pipe Pile Horizontal Vibration Based on the Fractional Derivative Viscoelastic Model 