Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load

Şi̇mşek, Mesut; Kocatürk, Turgut

doi:10.1016/j.compstruct.2009.04.024

Cited by 346 publications

(83 citation statements)

References 28 publications

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“…In the table, the dynamic deflection factor f D is defined as f D = max(w(L/2,t)/w 0 ) with w 0 is the static deflection of the steel beam under static load P 0 acting at the mid-span. Very good agreement between the numerical results of the present work with that of Şimşek and Kocatürk (2009) is seen from the table. The numerical results listed in Tables 1-3 have been computed by using 14 elements for each span.…”

Section: Formulation Validationsupporting

confidence: 77%

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Finite element analysis of multi-span functionally graded beams under a moving harmonic load

Gan

Trinh

et al. 2014

Mechanical Engineering Journal

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A finite element procedure for vibration analysis of multi-span functionally graded material (FGM) beams subjected to a moving harmonic load is presented. The material properties of the beam are assumed to vary continuously in the thickness direction by a power-law distribution. The finite element formulation is derived by using the exact solution of the governing differential equations of an FGM Timoshenko beam segment to interpolate the displacements and rotation. The shift in the neutral axis position is taken into account in the formulation. The dynamic response of the beam is computed with the aid of the Newmark method. The numerical results show that the proposed formulation is capable to give accurate dynamic characteristics of the beams. A parametric study is carried out to highlight the effect of the material heterogeneity, number of spans and loading parameters on the dynamic response of the beams. The influence of the aspect ratio is also studied and highlighted.

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Section: Formulation Validationsupporting

confidence: 77%

“…Thirdly, the maximum dynamic deflection factor at the mid-span and the corresponding speed of one-span FGM beam composed of Steel and Alumina with L = 20 m, h = 0.9 m and b = 0.4 m, previously studied by Şimşek and Kocatürk (2009), are computed. The obtained results are listed in Table 3.…”

Section: Formulation Validationmentioning

confidence: 99%

Finite element analysis of multi-span functionally graded beams under a moving harmonic load

Gan

Trinh

et al. 2014

Mechanical Engineering Journal

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“…Although beam is a popular structure employed in engineering applications, even it cannot escape from the effects of vibration phenomena when a dynamic load is applied [7,8]. With the current trend of using dynamic systems, the exposure of structure to vibration could not be avoided and it would become worse if the structural vibration of beam is not controlled.…”

Section: Fig 1 Potential Of Beam's Applicationsmentioning

confidence: 99%

Theoretical modelling of a beam with attached spring-mass-damper system

et al. 2016

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Abstract. Vibrations are always undesirable, wasting energy besides producing noise. In this case, beams which are prominent component in most engineering having no exemption from the vibration effect when imposed by dynamic loading. One of the approach to attenuate vibration of a structure is by having a spring-mass-damper (SMD) system or typically known as vibration neutralizer attached to the vibrating structure. This method is more promising as it does not contribute significant additional energy to the structure. The work presented in this paper describes the frequency response (FRF) of a simply supported beam with an attached SMD system. A mathematical model of a beam was at first developed in the study which was further derived to include the attachment of SMD system. In order to transform the derived equations into a form of graph that can be analysed, Matlab® software was used. The outcome from Matlab® shows that the attachment of SMD onto beam attenuates its vibration significantly. The result also displays a good resemblance FRF when compared with numerical finite element analysis of Ansys®. It is expected that the theoretical derivation demonstrated in this paper provide a helpful reference to future researchers who endeavour to find equations of a simply supported beam with an attached SMD system as well as for a vibration control study.

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“…This theory was applied to study the dynamic behaviour of FG beams by Alshorbagy et al [1], Simsek and Kocaturk [2] and Jin and Wang [3]. It is worth noting that, solutions based on the CBT overestimate natural frequencies of moderately thick beams.…”

Section: Various Shear Deformation Theories and Analysis Techniques Hmentioning

confidence: 99%

Fundamental frequency analysis of functionally graded sandwich beams based on the state space approach

Trinh

Osofero

et al. 2016

Composite Structures

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Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.) AbstractThe state space approach is used to provide analytical solution for fundamental frequency analysis of functionally graded sandwich beams. The classical beam theory, first-order and higher-order shear deformation theories are employed to consider beams of various classical and non-classical boundaryconditions. Governing equations of motions are derived from Hamilton's principle. The research investigates the effect of boundary conditions on the fundamental frequency with nine combinations of classical boundary conditions created from clamped, hinged, pinned and free conditions in accordance with three combinations of non-classical boundary conditions created from the assumption of an elastic support. In addition, the influence of material parameter and arrangement of layers as well as the slenderness ratio in vibration of functionally graded sandwich beams is examined.

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Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load

Cited by 346 publications

References 28 publications

Finite element analysis of multi-span functionally graded beams under a moving harmonic load

Finite element analysis of multi-span functionally graded beams under a moving harmonic load

Theoretical modelling of a beam with attached spring-mass-damper system

Fundamental frequency analysis of functionally graded sandwich beams based on the state space approach

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