TY - JOUR
T1 - Kinematic response of single piles for different boundary conditions
T2 - Analytical solutions and normalization schemes
AU - Anoyatis, George
AU - Di Laora, Raffaele
AU - Mandolini, Alessandro
AU - Mylonakis, George
N1 - Funding Information:
The research reported in this paper was conducted under the auspices of the ReLUIS project “Methods for risk evaluation and management of existing buildings”, funded by the Italian National Emergency Management Agency and was partially supported by the University of Patras through a Caratheodory Grant (no. C.580 ). The authors are grateful for this support. The authors also would like to thank the anonymous Reviewers whose comments improved the quality of the manuscript.
PY - 2013/1
Y1 - 2013/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84868243429&partnerID=8YFLogxK
U2 - 10.1016/j.soildyn.2012.09.011
DO - 10.1016/j.soildyn.2012.09.011
M3 - Article
AN - SCOPUS:84868243429
SN - 0267-7261
VL - 44
SP - 183
EP - 195
JO - Soil Dynamics and Earthquake Engineering
JF - Soil Dynamics and Earthquake Engineering
ER -