Esnek üstyapılarda tekerlek temas gerilmesi ve deplasman dağılımlarının üç boyutlu sınır eleman metodu ile belirlenmesi

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Date

2021

Journal Title

Journal ISSN

Volume Title

Publisher

Gazi Üniversitesi

Access Rights

info:eu-repo/semantics/openAccess

Abstract

Bu çalışmada, esnek üstyapıların davranışının sayısal olarak belirlenmesi için Sınır Eleman Metodu (SEM) kullanılmıştır. Zeminin malzeme davranışının doğrusal elastik olduğu varsayılan çalışmada SEM, Fourier dönüşüm uzayında ele alınmıştır. Bu çalışmada, elastik yarım uzaydaki iç noktalarda oluşan gerilme ve deplasman dağılımlarının belirlenmesi amaçlanmıştır. Bu amaçla çalışmada, üç boyutlu elastik problemler için bir bilgisayar programı geliştirilmiştir. Sınır eleman formülasyonu kullanılarak belirlenen esnek üstyapılarda oluşan gerilme ve deplasman dağılımlarının sonuçları, literatürde verilen Boussinesq denklemlerinin kullanılmasıyla elde edilen değerler ile karşılaştırılmıştır. SEM ve Boussinesq formülünden elde edilen sonuçların birbiriyle mükemmel bir uyum içinde olduğu sonucuna varılmıştır.
In this study, the "padding-size-4-x display--inline-block" style="background: var(--highlight-yellow); color: inherit;">boundary element method (BEM) was employed for the numerical determination of the response of flexible pavements. The material behaviour of the soil was assumed to be linear elastic. The BEM was used in the Fourier transform space. The focus of this paper is to determine the stress and deflection distributions in interior points of the elastic half space. Therefore, in the static analysis, formulation was considered for stress and deflection distributions on flexible pavements, since the purpose of the study is to analyse the influence of the load model on the pavement response, with the BEM formulation adopted for pavement design. The results of stress and deflection distributions on flexible pavements calculated by BEM are compared with the results obtained from Boussinesq equations published in the literature. P free of traction contact area free of traction _A 20a O 20a B x1 O 10a a x1 R a 4a x2 (v) C D x2 10a (v) A B elastic half space x3 x3 elastic half space Figure A. Load types on elastic half space Purpose: The focus of this study is to determine the stress and deflection distributions of interior points of the elastic half space. To achieve this aim, a computer program is developed for three-dimensional elastic problems Theory and Methods: The static analysis, formulation was considered for stress and deflection distributions on flexible pavements, since the purpose of the study is to analyse the influence of the load model on the pavement response, with the BEM formulation adopted for pavement design. Results: The results, which were obtained using "padding-size-4-x display--inline-block" style="background: var(--highlight-yellow); color: inherit;">boundary element formulation, are presented and compared with the results obtained from Boussinesq formula ones. The both results obtained from BEM and Boussinesq formula are in perfect agreement with each Conclusion: Based on the formulation, general purpose computer program is developed, and it is applied to flexible pavement design problems. The formulation proposed in this paper is assessed by applying to the several problems. The results are obtained from BEM formulation and compared with those obtained from Boussinesq formulas. The comparisons showed that the formulation presented in this study can be used with a perfect confidence in calculation of the stresses and deflection distributions at any point of flexible pavement system and flexible pavement design problems.

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Keywords

Sınır Eleman Metodu, Fourier Dönüşüm Uzayı, Sabit Sınır Eleman, Esnek Üstyapı Davranışı

Journal or Series

Journal of the Faculty of Engineering and Architecture of Gazi University / Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi

WoS Q Value

Q4

Scopus Q Value

Q2

Volume

36

Issue

3

Citation