Buckling Analysis of Piles in Multi-Layered Soils

Pile buckling is infrequent, but sometimes it can occur in slender piles (i.e., micropiles) driven into soils with soft layers and/or voids. Buckling analysis of piles becomes more complex if the pile is surrounded by multi-layered soil. In this case, the well-known Timoshenko’s solution for pile bu...

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Autores principales:	Luigi Fenu, Eleonora Congiu, Mariangela Deligia, Gian Felice Giaccu, Alireza Hosseini, Mauro Serra
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	pile buckling multi-layered soils variational approach Fourier series Rayleigh–Ritz method soft soils Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/e4aa1387b8ba47cca8676ee8947bc8bd
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spelling	oai:doaj.org-article:e4aa1387b8ba47cca8676ee8947bc8bd2021-11-25T16:33:21ZBuckling Analysis of Piles in Multi-Layered Soils10.3390/app1122106242076-3417https://doaj.org/article/e4aa1387b8ba47cca8676ee8947bc8bd2021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/22/10624https://doaj.org/toc/2076-3417Pile buckling is infrequent, but sometimes it can occur in slender piles (i.e., micropiles) driven into soils with soft layers and/or voids. Buckling analysis of piles becomes more complex if the pile is surrounded by multi-layered soil. In this case, the well-known Timoshenko’s solution for pile buckling is of no use because it refers to single-layered soils. A variational approach for buckling analysis of piles in multi-layered soils is herein proposed. The proposed method allows for the estimation of the critical buckling load of piles in any multi-layered soil and for any boundary condition, provided that the distribution of the soil coefficient of the subgrade reaction is available. An eigenvalue-eigenvector problem is defined, where each eigenvector is the set of coefficients of a Fourier series describing the second-order displaced shape of the pile, and the related buckling load is the eigenvalue, thus obtaining the effective buckling load as the minimum eigenvalue. Besides the pile deformed shape, the stiffness distribution in the multi-layered soil is also described through a Fourier series. The Rayleigh–Ritz direct method is used to identify the Fourier development coefficients describing the pile deformation. For validation, buckling analysis results were compared with those obtained from an experimental test and a finite element analysis available in the literature, which confirmed this method’s reliability.Luigi FenuEleonora CongiuMariangela DeligiaGian Felice GiaccuAlireza HosseiniMauro SerraMDPI AGarticlepile bucklingmulti-layered soilsvariational approachFourier seriesRayleigh–Ritz methodsoft soilsTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10624, p 10624 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	pile buckling multi-layered soils variational approach Fourier series Rayleigh–Ritz method soft soils Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	pile buckling multi-layered soils variational approach Fourier series Rayleigh–Ritz method soft soils Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Luigi Fenu Eleonora Congiu Mariangela Deligia Gian Felice Giaccu Alireza Hosseini Mauro Serra Buckling Analysis of Piles in Multi-Layered Soils
description	Pile buckling is infrequent, but sometimes it can occur in slender piles (i.e., micropiles) driven into soils with soft layers and/or voids. Buckling analysis of piles becomes more complex if the pile is surrounded by multi-layered soil. In this case, the well-known Timoshenko’s solution for pile buckling is of no use because it refers to single-layered soils. A variational approach for buckling analysis of piles in multi-layered soils is herein proposed. The proposed method allows for the estimation of the critical buckling load of piles in any multi-layered soil and for any boundary condition, provided that the distribution of the soil coefficient of the subgrade reaction is available. An eigenvalue-eigenvector problem is defined, where each eigenvector is the set of coefficients of a Fourier series describing the second-order displaced shape of the pile, and the related buckling load is the eigenvalue, thus obtaining the effective buckling load as the minimum eigenvalue. Besides the pile deformed shape, the stiffness distribution in the multi-layered soil is also described through a Fourier series. The Rayleigh–Ritz direct method is used to identify the Fourier development coefficients describing the pile deformation. For validation, buckling analysis results were compared with those obtained from an experimental test and a finite element analysis available in the literature, which confirmed this method’s reliability.
format	article
author	Luigi Fenu Eleonora Congiu Mariangela Deligia Gian Felice Giaccu Alireza Hosseini Mauro Serra
author_facet	Luigi Fenu Eleonora Congiu Mariangela Deligia Gian Felice Giaccu Alireza Hosseini Mauro Serra
author_sort	Luigi Fenu
title	Buckling Analysis of Piles in Multi-Layered Soils
title_short	Buckling Analysis of Piles in Multi-Layered Soils
title_full	Buckling Analysis of Piles in Multi-Layered Soils
title_fullStr	Buckling Analysis of Piles in Multi-Layered Soils
title_full_unstemmed	Buckling Analysis of Piles in Multi-Layered Soils
title_sort	buckling analysis of piles in multi-layered soils
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/e4aa1387b8ba47cca8676ee8947bc8bd
work_keys_str_mv	AT luigifenu bucklinganalysisofpilesinmultilayeredsoils AT eleonoracongiu bucklinganalysisofpilesinmultilayeredsoils AT mariangeladeligia bucklinganalysisofpilesinmultilayeredsoils AT gianfelicegiaccu bucklinganalysisofpilesinmultilayeredsoils AT alirezahosseini bucklinganalysisofpilesinmultilayeredsoils AT mauroserra bucklinganalysisofpilesinmultilayeredsoils
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Buckling Analysis of Piles in Multi-Layered Soils

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