Abstract
We consider a perfectly elastic cantilever beam with a crack. The influence of the crack depth and location on the vibration mode of the beam is simulated by a local change in the cross section. This problem is solved by the Rayleigh method. Fairly simple formulas for the determination of the natural frequency of the first mode of bending and longitudinal vibrations of a cantilever beam with an open and closing crack are derived.
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Institute for Problems of Strength, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Problemy Prochnosti, No. 2, pp. 35–44, March–April, 1999.
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Bovsunovskii, A.P. On determination of the natural frequency of transverse and longitudinal vibrations of a cracked beam. Part 1. analytical approach. Strength Mater 31, 130–137 (1999). https://doi.org/10.1007/BF02511102
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DOI: https://doi.org/10.1007/BF02511102