Forced vibration of axially-loaded, multi-cracked Euler-Bernoulli and Timoshenko beams

In this paper, an analytical solution is obtained using a modal expansion method to study the forced vibration response of axially-loaded, multi-cracked Euler-Bernoulli (EBT) and Timoshenko beams, including shear deformation and rotary inertia (TBTSDR), with differing boundary conditions, namely, hi...

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Bibliographic Details
Published inStructures (Oxford) Vol. 25; pp. 370 - 385
Main Authors Al Rjoub, Yousef S., Hamad, Azhar G.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2020
Subjects
Cracked beams
Euler-Bernoulli
Forced vibration
Modal analysis
Timoshenko
Euler-Bernoulli
Cracked beams
Modal analysis
Forced vibration
Timoshenko
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Summary:In this paper, an analytical solution is obtained using a modal expansion method to study the forced vibration response of axially-loaded, multi-cracked Euler-Bernoulli (EBT) and Timoshenko beams, including shear deformation and rotary inertia (TBTSDR), with differing boundary conditions, namely, hinged-hinged, clamped-clamped, clamped-hinged, and clamped-free, subjected to two moving loads travelling with a constant velocity. The effects of crack depth and number of cracks on the dynamic response of axially-loaded, cracked beams are studied. Also, the effects of the two moving loads’ velocity and axial loading on the dynamic responses are studied in detail. The results obtained in this study are reasonable and agree well with analytical results available in the literature.
ISSN:2352-0124
2352-0124
DOI:10.1016/j.istruc.2020.03.030