Open AccessDamage severity for cracked simply supported beams
Author(s) -
Ehab Samir Mohamed Mohamed Soliman
Publication year - 2021
Publication title -
frattura ed integrità strutturale
Language(s) - English
Resource type - Journals
ISSN - 1971-8993
DOI - 10.3221/igf-esis.58.11
Subject(s) - structural engineering , deflection (physics) , natural frequency , materials science , beam (structure) , finite element method , vibration , modal analysis , stiffness , bending stiffness , normal mode , isotropy , modal , crack tip opening displacement , composite material , acoustics , physics , engineering , optics , stress intensity factor
This paper investigated the static and dynamic behaviors of isotropic cracked simply supported beam using finite element analysis (FEA), ANSYS software. Modal and harmonic vibration analysis of intact and damaged beam were performed in order to extract mode shapes of bending vibration, natural frequencies and obtain frequency response diagram. Static finite element analysis of undamaged and damaged simply supported beam was carried out to determine zero frequency deflection, then stiffness of intact and cracked beam was computed using conventional formula. Crack damage severity of damaged beam was calculated and it is noticed that as crack position is increased from left hand support of beam up to central point and crack depth is increased, then crack damage severity increases. The effect of mode shape pattern is investigated and it is found that the amount of decreasing of natural frequency is proportional to the normalized mode shape at position of crack. The exhibited correlation between results for damaged beam revealed that crack damage severity is proportional to zero frequency deflection and inversely proportional to first mode frequency.