George Anoyatis
Kinematic response of single piles for different boundary conditions: Analytical solutions and normalization schemes
Anoyatis, George; Di Laora, Raffaele; Mandolini, Alessandro; Mylonakis, George
Authors
Raffaele Di Laora
Alessandro Mandolini
George Mylonakis
Abstract
Kinematic pile-soil interaction is investigated analytically through a Beam-on-Dynamic-Winkler-Foundation model. A cylindrical vertical pile in a homogeneous stratum, excited by vertically-propagating harmonic shear waves, is examined in the realm of linear viscoelastic material behaviour. New closed-form solutions for bending, displacements and rotations atop the pile, are derived for different boundary conditions at the head (free, fixed) and tip (free, hinged, fixed). Contrary to classical elastodynamic theory where pile response is governed by six dimensionless ratios, in the realm of the proposed Winkler analysis three dimensionless parameters suffice for describing pile-soil interaction: (1) a mechanical slenderness accounting for geometry and pile-soil stiffness contrast, (2) a dimensionless frequency (which is different from the classical elastodynamic parameter a0=ω d/Vs), and (3) soil material damping. With reference to kinematic pile bending, insight into the physics of the problem is gained through a rigorous superposition scheme involving an infinitely-long pile excited kinematically, and a pile of finite length excited by a concentrated force and a moment at the tip. It is shown that for long piles kinematic response is governed by a single dimensionless frequency parameter, leading to a unique master curve pertaining to all pile lengths and pile-soil stiffness ratios. © 2012 Elsevier Ltd.
Citation
Anoyatis, G., Di Laora, R., Mandolini, A., & Mylonakis, G. (2013). Kinematic response of single piles for different boundary conditions: Analytical solutions and normalization schemes. Soil Dynamics and Earthquake Engineering, 44, 183-195. https://doi.org/10.1016/j.soildyn.2012.09.011
Journal Article Type | Article |
---|---|
Acceptance Date | Sep 20, 2012 |
Online Publication Date | Nov 3, 2012 |
Publication Date | Jan 1, 2013 |
Deposit Date | Jan 23, 2017 |
Publicly Available Date | Mar 28, 2024 |
Journal | Soil Dynamics and Earthquake Engineering |
Print ISSN | 0267-7261 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 44 |
Pages | 183-195 |
DOI | https://doi.org/10.1016/j.soildyn.2012.09.011 |
Keywords | pile, kinematic interaction, subgrade reaction, Winkler model, closed-form solution |
Public URL | https://uwe-repository.worktribe.com/output/935932 |
Publisher URL | http://dx.doi.org/10.1016/j.soildyn.2012.09.011 |
Additional Information | Additional Information : The final publication is available at http://dx.doi.org/10.1016/j.soildyn.2012.09.011. |
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