Forced vibration of multi-span cracked Euler–Bernoulli beams using dynamic Green function formulation

An analytical solution for determining the behavior of the multi-span cracked beam under concentrated load is presented. In this paper, the analytical approach based on Dynamic Green Function formulation is used and validated experimentally for the vibration analysis of the multi-span cracked beams....

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Bibliographic Details
Published inApplied acoustics Vol. 148; pp. 484 - 494
Main Authors Ghannadiasl, Amin, Khodapanah Ajirlou, Saeid
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2019
Subjects
Dynamic Green Function
Euler–Bernoulli beam
Forced vibration
Multi cracked beam
Multi-span beam
Multi cracked beam
Euler–Bernoulli beam
Dynamic Green Function
Forced vibration
Multi-span beam
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Summary:An analytical solution for determining the behavior of the multi-span cracked beam under concentrated load is presented. In this paper, the analytical approach based on Dynamic Green Function formulation is used and validated experimentally for the vibration analysis of the multi-span cracked beams. The presence of crack on beam influences on the dynamic response of the beam. For modelling cracked section, a massless torsional spring is utilized. The effects of the number and the location of cracks on the dynamic response of the beams are evaluated. In addition, the effects of the elastic boundary condition and damping on the natural frequency in various boundary conditions are assessed. In order better to understand, several examples are presented and the results are compared.
ISSN:0003-682X
1872-910X
DOI:10.1016/j.apacoust.2018.12.021