Exact Solution for the Torsional Vibration of an Elastic Pile in a Radially Inhomogeneous Saturated Soil

<div>Influence of material damping of the inner disturbed soil on the complex stiffness at the pile top when the inner soil is weakened (<i>GR</i> = 0.5, <i>t</i><sub><i>m</i></sub>/<i>r</i><sub>0</sub> = 0.5).</div>

Journal of Mathematics

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Figure 9

Figure 9: Exact Solution for the Torsional Vibration of an Elastic Pile in a Radially Inhomogeneous Saturated Soil 