Simulation of bending stress variation in long buried thick-walled pipes under the earth’s movement using combined linear dynamics and beam theories

This study reported a simulation approach to the understanding of the interactions between a buried pipe and the soil system by computing the bending stress variation of harmonically-excited buried pipes. The established principles of linear dynamics theory and simple beam theory were ut...

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Main Authors: Salau Tajudeen A.O., Oke Sunday A., Ighravwe Desmond E.
Format: Article
Language:English
Published: Faculty of Technology, Novi Sad 2014-01-01
Series:Acta Periodica Technologica
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-7188/2014/1450-71881445153S.pdf
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spelling doaj-2df7ef3f44d34b9b89cb21aefedba9f92020-11-25T00:13:55ZengFaculty of Technology, Novi SadActa Periodica Technologica1450-71882014-01-0120144515317010.2298/APT1445153S1450-71881445153SSimulation of bending stress variation in long buried thick-walled pipes under the earth’s movement using combined linear dynamics and beam theoriesSalau Tajudeen A.O.0Oke Sunday A.1Ighravwe Desmond E.2University of Ibadan, Department of Mechanical Engineering, Ibadan, NigeriaUniversity of Lagos, Department of Mechanical Engineering, Lagos, NigeriaUniversity of Lagos, Department of Mechanical Engineering, Lagos, NigeriaThis study reported a simulation approach to the understanding of the interactions between a buried pipe and the soil system by computing the bending stress variation of harmonically-excited buried pipes. The established principles of linear dynamics theory and simple beam theory were utilised in the analysis of the problem of buried pipe bending stress accumulation and its dynamics. With regards to the parameters that influence the bending stress variations, the most important are the isolation factor, uniform external load, and the corresponding limiting conditions. The simulated mathematical expressions, containing static and dynamic parameters of the buried pipe and earth, were coded in Fortran programming language and applied in the simulation experiment. The results obtained showed that harmonically-excited buried thick-walled pipe became stable and effective when the ratio of the natural frequency of vibration to the forced frequency is greater than 2.0, whenever the damped factor is used as the control parameter for the maximum bending stress. The mirror image of the stress variation produces variation in the location of the maximum bending stress in quantitative terms. The acceptable pipe materials for the simulated cases must have yield strength in bending greater than or equal to 13.95 MPa. The results obtained in this work fill a gap in the literature and will be useful to pipeline engineers and designers, as well as to environmental scientists in initialising and controlling environmental issues and policy formulation concerning the influence of buried pipe on the soil and water in the environment.http://www.doiserbia.nb.rs/img/doi/1450-7188/2014/1450-71881445153S.pdfmaximum stressisolation factoruniform external loaddamp factorboundary conditions
collection DOAJ
language English
format Article
sources DOAJ
author Salau Tajudeen A.O.
Oke Sunday A.
Ighravwe Desmond E.
spellingShingle Salau Tajudeen A.O.
Oke Sunday A.
Ighravwe Desmond E.
Simulation of bending stress variation in long buried thick-walled pipes under the earth’s movement using combined linear dynamics and beam theories
Acta Periodica Technologica
maximum stress
isolation factor
uniform external load
damp factor
boundary conditions
author_facet Salau Tajudeen A.O.
Oke Sunday A.
Ighravwe Desmond E.
author_sort Salau Tajudeen A.O.
title Simulation of bending stress variation in long buried thick-walled pipes under the earth’s movement using combined linear dynamics and beam theories
title_short Simulation of bending stress variation in long buried thick-walled pipes under the earth’s movement using combined linear dynamics and beam theories
title_full Simulation of bending stress variation in long buried thick-walled pipes under the earth’s movement using combined linear dynamics and beam theories
title_fullStr Simulation of bending stress variation in long buried thick-walled pipes under the earth’s movement using combined linear dynamics and beam theories
title_full_unstemmed Simulation of bending stress variation in long buried thick-walled pipes under the earth’s movement using combined linear dynamics and beam theories
title_sort simulation of bending stress variation in long buried thick-walled pipes under the earth’s movement using combined linear dynamics and beam theories
publisher Faculty of Technology, Novi Sad
series Acta Periodica Technologica
issn 1450-7188
publishDate 2014-01-01
description This study reported a simulation approach to the understanding of the interactions between a buried pipe and the soil system by computing the bending stress variation of harmonically-excited buried pipes. The established principles of linear dynamics theory and simple beam theory were utilised in the analysis of the problem of buried pipe bending stress accumulation and its dynamics. With regards to the parameters that influence the bending stress variations, the most important are the isolation factor, uniform external load, and the corresponding limiting conditions. The simulated mathematical expressions, containing static and dynamic parameters of the buried pipe and earth, were coded in Fortran programming language and applied in the simulation experiment. The results obtained showed that harmonically-excited buried thick-walled pipe became stable and effective when the ratio of the natural frequency of vibration to the forced frequency is greater than 2.0, whenever the damped factor is used as the control parameter for the maximum bending stress. The mirror image of the stress variation produces variation in the location of the maximum bending stress in quantitative terms. The acceptable pipe materials for the simulated cases must have yield strength in bending greater than or equal to 13.95 MPa. The results obtained in this work fill a gap in the literature and will be useful to pipeline engineers and designers, as well as to environmental scientists in initialising and controlling environmental issues and policy formulation concerning the influence of buried pipe on the soil and water in the environment.
topic maximum stress
isolation factor
uniform external load
damp factor
boundary conditions
url http://www.doiserbia.nb.rs/img/doi/1450-7188/2014/1450-71881445153S.pdf
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