Nonlinear analyses of laterally loaded piles – A semi-analytical approach

Abstract

This paper describes a semi-analytical, continuum mechanics-based method of calculating the nonlinear response of pile foundations subjected to lateral loads. The displacement field in the soil is obtained as the product of a pile deflection function and displacement decay functions. Based on the incremental form of the virtual work, a system of coupled differential equations for the pile deflection and decay functions is derived and then solved by using the finite difference method, producing pile deflections, shear forces and bending moments as well as displacements within the soil domain. The soil is modeled as an elasto-plastic material. The analysis is computationally efficient and produces results that are in good agreement with those from 3D finite element modeling with the same constitutive model for the soil. The method models laterally loaded pile response more realistically than the traditional p-y method at a comparable computational cost. The method is substantially more efficient than 3D finite element simulations. The proposed method offers a good alternative to the p-y method in contexts in which fast calculation of lateral pile response is required, such as in the design of piles for offshore wind farms.

Static and Dynamic Reliability Analysis of Laterally Loaded Pile Using Probability Density Function Method

“…where u 0 is the deterministic initial value of U(ξ) at the time instant ξ 0 and δ(•) is the Dirac delta function. In general, although the nonlinearity of the soil properties makes it hugely challenging to obtain a closed-form exact solution of Equation (6) or Equation (8), the PDEE can be solved numerically as follows:…”

“…The important parameter of the horizontal subgrade modulus k h is also selected as a random variable because of its variability in a free laterally loaded pile. obtain a closed-form exact solution of Equation (6) or Equation (8), the PDEE can be solved numerically as follows:…”

“…Therefore, there have been many studies of the static and dynamic responses of piles. These range from closed-form exact solutions of simplified problems [3,4] to numerical solutions of complicated nonlinear problems [5,6]. Meanwhile, many researchers have gradually come to realize the importance of uncertainty and randomness when analyzing the static and dynamic responses of a laterally loaded pile system.…”

Evaluation of Micropiles With Different Configuration Settings for Landslide Stabilization Based on Large-Scale Experimental Testing

“…Because of a relatively large length-diameter ratio compared with that of traditional piles, the pattern of stress distribution and breaking mechanisms of the micropiles under the influence of a lateral force derived from a landslide sliding movement are also different from that of the traditional piles (Salgado et al, 2014;Han et al, 2015;Gianpiero, 2016). For landslide stabilization, the micropiles are mostly designed and constructed in rows of different layout configurations.…”

A multidirectional semi‐analytical method for analysis of laterally loaded pile groups in multi‐layered elastic strata

“…Recently, Han et al . (2015) successfully incorporated a nonlinear elastic–plastic soil model into the semi‐analytical method developed by Tehrani (2014) to analyze single piles under lateral loading.…”