Nonlinear Vibration and Post-Buckling Behaviors of Metal and FGM Pipes Transporting Heavy Crude Oil

Functionally graded materials (FGMs) have the potential to revolutionize the oil and gas transportation sector, due to their increased strengths and efficiencies as pipelines. Conventional pipelines frequently face serious problems such as extreme weather, pressure changes, corrosion, and stress-ind...

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Main Authors: Kamran Foroutan, Farshid Torabi, Arth Pradeep Patel
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/15/15/8515
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author Kamran Foroutan
Farshid Torabi
Arth Pradeep Patel
author_facet Kamran Foroutan
Farshid Torabi
Arth Pradeep Patel
author_sort Kamran Foroutan
collection DOAJ
description Functionally graded materials (FGMs) have the potential to revolutionize the oil and gas transportation sector, due to their increased strengths and efficiencies as pipelines. Conventional pipelines frequently face serious problems such as extreme weather, pressure changes, corrosion, and stress-induced pipe bursts. By analyzing the mechanical and thermal performance of FGM-based pipes under various operating conditions, this study investigates the possibility of using them as a more reliable substitute. In the current study, the post-buckling and nonlinear vibration behaviors of pipes composed of FGMs transporting heavy crude oil were examined using a Timoshenko beam framework. The material properties of the FGM pipe were observed to change gradually across the thickness, following a power-law distribution, and were influenced by temperature variations. In this regard, two types of FGM pipes are considered: one with a metal-rich inner surface and ceramic-rich outer surface, and the other with a reverse configuration featuring metal on the outside and ceramic on the inside. The nonlinear governing equations (NGEs) describing the system’s nonlinear dynamic response were formulated by considering nonlinear strain terms through the von Kármán assumptions and employing Hamilton’s principle. These equations were then discretized using Galerkin’s method to facilitate the analytical investigation. The Runge–Kutta method was employed to address the nonlinear vibration problem. It is concluded that, compared with pipelines made from conventional materials, those constructed with FGMs exhibit enhanced thermal resistance and improved mechanical strength.
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spelling doaj-art-15c11bbfb20e4a409b1282f4354a71d32025-08-20T04:00:54ZengMDPI AGApplied Sciences2076-34172025-07-011515851510.3390/app15158515Nonlinear Vibration and Post-Buckling Behaviors of Metal and FGM Pipes Transporting Heavy Crude OilKamran Foroutan0Farshid Torabi1Arth Pradeep Patel2Energy Systems Engineering, University of Regina, Regina, SK S4S 0A2, CanadaEnergy and Process Systems Engineering, University of Regina, Regina, SK S4S 0A2, CanadaEnergy Systems Engineering, University of Regina, Regina, SK S4S 0A2, CanadaFunctionally graded materials (FGMs) have the potential to revolutionize the oil and gas transportation sector, due to their increased strengths and efficiencies as pipelines. Conventional pipelines frequently face serious problems such as extreme weather, pressure changes, corrosion, and stress-induced pipe bursts. By analyzing the mechanical and thermal performance of FGM-based pipes under various operating conditions, this study investigates the possibility of using them as a more reliable substitute. In the current study, the post-buckling and nonlinear vibration behaviors of pipes composed of FGMs transporting heavy crude oil were examined using a Timoshenko beam framework. The material properties of the FGM pipe were observed to change gradually across the thickness, following a power-law distribution, and were influenced by temperature variations. In this regard, two types of FGM pipes are considered: one with a metal-rich inner surface and ceramic-rich outer surface, and the other with a reverse configuration featuring metal on the outside and ceramic on the inside. The nonlinear governing equations (NGEs) describing the system’s nonlinear dynamic response were formulated by considering nonlinear strain terms through the von Kármán assumptions and employing Hamilton’s principle. These equations were then discretized using Galerkin’s method to facilitate the analytical investigation. The Runge–Kutta method was employed to address the nonlinear vibration problem. It is concluded that, compared with pipelines made from conventional materials, those constructed with FGMs exhibit enhanced thermal resistance and improved mechanical strength.https://www.mdpi.com/2076-3417/15/15/8515post-bucklingnonlinear vibrationfunctionally graded materialsheavy crude oil transportationTimoshenko beam theory
spellingShingle Kamran Foroutan
Farshid Torabi
Arth Pradeep Patel
Nonlinear Vibration and Post-Buckling Behaviors of Metal and FGM Pipes Transporting Heavy Crude Oil
Applied Sciences
post-buckling
nonlinear vibration
functionally graded materials
heavy crude oil transportation
Timoshenko beam theory
title Nonlinear Vibration and Post-Buckling Behaviors of Metal and FGM Pipes Transporting Heavy Crude Oil
title_full Nonlinear Vibration and Post-Buckling Behaviors of Metal and FGM Pipes Transporting Heavy Crude Oil
title_fullStr Nonlinear Vibration and Post-Buckling Behaviors of Metal and FGM Pipes Transporting Heavy Crude Oil
title_full_unstemmed Nonlinear Vibration and Post-Buckling Behaviors of Metal and FGM Pipes Transporting Heavy Crude Oil
title_short Nonlinear Vibration and Post-Buckling Behaviors of Metal and FGM Pipes Transporting Heavy Crude Oil
title_sort nonlinear vibration and post buckling behaviors of metal and fgm pipes transporting heavy crude oil
topic post-buckling
nonlinear vibration
functionally graded materials
heavy crude oil transportation
Timoshenko beam theory
url https://www.mdpi.com/2076-3417/15/15/8515
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AT farshidtorabi nonlinearvibrationandpostbucklingbehaviorsofmetalandfgmpipestransportingheavycrudeoil
AT arthpradeeppatel nonlinearvibrationandpostbucklingbehaviorsofmetalandfgmpipestransportingheavycrudeoil