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Vibration analysis of cracked structures as a roving body passes a crack using the Rayleigh-Ritz Method

Abstract
The natural frequencies of a cracked plate with a roving mass were computed using the Rayleigh-Ritz Method for various sets of boundary condition. The obtained frequencies exhibit a sudden shift as a roving body crosses a crack. If the crack is only partial and continuity of translation is maintained, then the frequency shift occurs only when the body possesses a rotary inertia. If the crack is a complete one (through thickness) which permits differential translation to occur on either side of the crack, a particle having mass only (translatory inertia) is sufficient to cause a sudden shift. There is no need for a rotary inertia. This is potentially useful in detecting cracks in structures, as it is possible to track the changes in the natural frequencies of a structure as a test body such as a vehicle on a bridge moves and identify points where sudden frequency changes occur.
Type
Journal Article
Type of thesis
Series
Citation
Ilanko, S., Mochida, Y., & De Los Rois, J. (2018). Vibration analysis of cracked structures as a roving body passes a crack using the Rayleigh-Ritz Method. EPI International Journal of Engineering, 1(2), 30-34. https://doi.org/10.25042/epi-ije.082018.04
Date
2018
Publisher
Center of Technology (COT)
Degree
Supervisors
Rights