Bending–torsional-coupled vibrations and buckling characteristics of single and double composite Timoshenko beams

The stability and free vibration analyses of single and double composite Timoshenko beams have been investigated. The closed-section beams are subjected to constant axially compressive or tensile forces. The double beams are assumed to be connected by a layer of elastic translational and rotational...

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Main Authors: Ma’en S Sari, Wael G Al-Kouz, Rafat Al-Waked
Format: Article
Language:English
Published: SAGE Publishing 2019-03-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814019834452
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author Ma’en S Sari
Wael G Al-Kouz
Rafat Al-Waked
author_facet Ma’en S Sari
Wael G Al-Kouz
Rafat Al-Waked
author_sort Ma’en S Sari
collection DOAJ
description The stability and free vibration analyses of single and double composite Timoshenko beams have been investigated. The closed-section beams are subjected to constant axially compressive or tensile forces. The double beams are assumed to be connected by a layer of elastic translational and rotational springs. The coupled governing partial differential equations of motion are discretized, and the resulted eigenvalue problem is solved numerically by applying the Chebyshev spectral collocation method. The effects of the elastic layer parameters, the axial forces, the slenderness ratio, the bending–torsional coupling, and the boundary conditions on the critical buckling loads, mode shapes, and natural transverse frequencies have been studied. A parametric study was performed, and the obtained results revealed different features, which hopefully can be useful for single- and double-beam-like engineering structures.
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spelling doaj.art-7f373aef07464aa0893bd859c4baca9a2022-12-22T02:28:26ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402019-03-011110.1177/1687814019834452Bending–torsional-coupled vibrations and buckling characteristics of single and double composite Timoshenko beamsMa’en S Sari0Wael G Al-Kouz1Rafat Al-Waked2Mechanical and Maintenance Engineering Department, German Jordanian University, Amman, JordanMechatronics Engineering Department, German Jordanian University, Amman, JordanMechanical and Maintenance Engineering Department, German Jordanian University, Amman, JordanThe stability and free vibration analyses of single and double composite Timoshenko beams have been investigated. The closed-section beams are subjected to constant axially compressive or tensile forces. The double beams are assumed to be connected by a layer of elastic translational and rotational springs. The coupled governing partial differential equations of motion are discretized, and the resulted eigenvalue problem is solved numerically by applying the Chebyshev spectral collocation method. The effects of the elastic layer parameters, the axial forces, the slenderness ratio, the bending–torsional coupling, and the boundary conditions on the critical buckling loads, mode shapes, and natural transverse frequencies have been studied. A parametric study was performed, and the obtained results revealed different features, which hopefully can be useful for single- and double-beam-like engineering structures.https://doi.org/10.1177/1687814019834452
spellingShingle Ma’en S Sari
Wael G Al-Kouz
Rafat Al-Waked
Bending–torsional-coupled vibrations and buckling characteristics of single and double composite Timoshenko beams
Advances in Mechanical Engineering
title Bending–torsional-coupled vibrations and buckling characteristics of single and double composite Timoshenko beams
title_full Bending–torsional-coupled vibrations and buckling characteristics of single and double composite Timoshenko beams
title_fullStr Bending–torsional-coupled vibrations and buckling characteristics of single and double composite Timoshenko beams
title_full_unstemmed Bending–torsional-coupled vibrations and buckling characteristics of single and double composite Timoshenko beams
title_short Bending–torsional-coupled vibrations and buckling characteristics of single and double composite Timoshenko beams
title_sort bending torsional coupled vibrations and buckling characteristics of single and double composite timoshenko beams
url https://doi.org/10.1177/1687814019834452
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AT waelgalkouz bendingtorsionalcoupledvibrationsandbucklingcharacteristicsofsingleanddoublecompositetimoshenkobeams
AT rafatalwaked bendingtorsionalcoupledvibrationsandbucklingcharacteristicsofsingleanddoublecompositetimoshenkobeams