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 orders of fractional derivative viscoelastic model of the soil around pile. (a) Real part of horizontal dynamic impedance. (b) Imaginary part of horizontal dynamic impedance.</div>

Advances in Civil Engineering

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Figure 12

Figure 12: Theoretical and Numerical Analysis of Soil-Pipe Pile Horizontal Vibration Based on the Fractional Derivative Viscoelastic Model 