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M.A. Il'gamov, "Longitudinal Vibrations of a Bar with Incipient Transverse Cracks," Mech. Solids. 52 (1), 18-24 (2017)
Year 2017 Volume 52 Number 1 Pages 18-24
DOI 10.3103/S0025654417010034
Title Longitudinal Vibrations of a Bar with Incipient Transverse Cracks
Author(s) M.A. Il'gamov (Institute of Mechanics of the Ufa Scientific Center, Russian Academy of Sciences, pr. Oktyabrya 71, Ufa, 450054 Russia, ilgamov@anrb.ru)
Abstract The simplest model of longitudinal vibrations of a bar with incipient transverse cracks is considered under the essential assumption that the crack size is small compared with the bar cross-section area and the difference between the mode shapes of the bar with incipient cracks and the undamaged bar is small. The different manifestation of cracks in the phases of extension and compression strains is taken into account. The natural vibration frequencies and the crack coordinates and dimensions are determined from experimental values of natural frequencies.
Keywords bar, transverse crack, longitudinal vibrations, vibration frequency and period, crack diagnostics
References
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Received 25 March 2014
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