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 (τ2 = τIb/τOb). (a) Real part of horizontal dynamic impedance. (b) Imaginary part of horizontal dynamic impedance.</div>

Advances in Civil Engineering

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Figure 16

Figure 16: Theoretical and Numerical Analysis of Soil-Pipe Pile Horizontal Vibration Based on the Fractional Derivative Viscoelastic Model 