Abstract
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.
Highlights
S tructures must work in safety during service life but the initiation of a breakdown period on it is due to damages as cracks [1]
Through this research study [10], it is found that when the crack position is kept constant and crack depth is increased, stiffness of the beam decreases and when the crack depth is kept constant and crack position is varied from the fixed end, stiffness of the beam increases
Frequency response diagram is obtained to determine the shift in frequencies between undamaged and damaged beams
Summary
S tructures must work in safety during service life but the initiation of a breakdown period on it is due to damages as cracks [1]. The effects of the developed damage in the structure are the reduction of the rigidity of the structure and altering the associated dynamic and static properties to some extent [6]. Khalkar and Ramachandran [10] carried out static and modal analyses for intact and cracked cantilever beam by ANSYS software to get static deflection and natural frequency. They determined stiffness of intact and various cracked cases of a cantilever beam based on results of ANSYS static deflection. The damaged supported beam with single edge crack is investigated for its natural frequencies of bending vibration modes, mode shape pattern of bending vibration, static deflection and stiffness to study crack damage severity. The correlation between results of crack damage severity and results of dynamic and static parameters are investigated
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