General Analytical Solution for Laterally-Loaded Pile-Based Miche Model

Rosendo, Danilo C.; Albuquerque, Paulo José Rocha de

doi:10.1007/s10706-020-01520-1

Cited by 3 publications

(2 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In recent years, interest in analytical treatment of the problem has re-emerged and some general analytical Winkler solutions encompassing arbitrary values of n have been formulated in terms of four generalized hypergeometric functions of the 0 F 3 type (Mylonakis 2004;Fradelos 2016;Crispin 2017;Froio and Rizzi 2017;Parashakis 2020;Rosendo and Albuquerque 2021;Cucuzza et al 2022). These results extended the aforementioned classical power-series solutions, yet they are limited by their inability to handle the important case of long beams, which is used to model flexible piles.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Exact Winkler Solution for Laterally Loaded Piles in Inhomogeneous Soil

Crispin

Mylonakis

2022

J. Eng. Mech.

View full text Add to dashboard Cite

A novel exact analytical solution is derived for the equation y ð4Þ þ x n y ¼ 0 in the region x ≥ 0, which is important for the analysis of piles in soil with stiffness varying with depth. To date, exact solutions for long piles are available only for the cases where n ¼ −4, 0, and 1. For other values of the exponent n, solutions have formerly been obtained numerically, mainly by the finite-difference method or approximate analytical solutions. An inherent difficulty in obtaining solutions for long beams (which are used to model flexible piles) lies in the inability to isolate the regular, converging part of the solution over the singular part that diverges with increasing x. In this paper, an exact solution is derived for n > −4, focusing on the important case of semi-infinite beams. Key aspects of the problem such as the stiffness and flexibility matrices at the pile head, and the peak bending moments due to eccentrically acting lateral loads, are discussed. A novel approach for deriving Winkler spring moduli for combined force and moment loading is proposed and shown to provide good agreement with rigorous numerical continuum results.

show abstract

Section: Introductionmentioning

confidence: 99%

“…;Fradelos 2016;Crispin 2017;Froio and Rizzi 2017;Parashakis 2020;Rosendo and Albuquerque 2021), can be expressed as generalized hypergeometric functions as follows [modified based on the definition for λ in Eq. (10c)]:…”

mentioning

confidence: 99%

Exact Winkler Solution for Laterally Loaded Piles in Inhomogeneous Soil

Crispin

Mylonakis

2022

J. Eng. Mech.

View full text Add to dashboard Cite

show abstract

Experimental and Numerical Behavior of Horizontally Loaded Piled Rafts with a Defective Pile

et al. 2022

Self Cite

View full text Add to dashboard Cite

The present paper aims to investigate the effects of defective piles in horizontally loaded piled raft foundations. Close to real scale foundation models of defective and intact three-piled systems were submitted to horizontal load tests. The models used bored type piles drilled with 5 m in length and 0.25 m in diameter, connected to a concrete raft founded on a tropical soil pro le at the University of Campinas research site. Based on the experimental data, a tridimensional nite element analysis was initially calibrated and consequently used to study the effects of the defective element at the pile load distribution and the horizontal subgrade forces at the pile shaft. The results show that the presence of a defective pile increases the raft tilting, which affects both vertical and horizontal load distributions among the raft and the piles, and among trailing and leading piles.

show abstract