Identification of location of a cut of the rod on natural frequency

Doklady Bashkirskogo Universiteta. 2017. Volume 2. No. 2. pp. 204-208.

Authors


Akhtyamov A. M.*
Bashkir State University
32 Zaki Validi Street, 450074 Ufa, Republic of Bashkortostan, Russia
Fatkhelislamov A. F.
Bashkir State University
32 Zaki Validi Street, 450074 Ufa, Republic of Bashkortostan, Russia

Abstract


The rod with a longitudinal rectangular cut which passes not on all length of a beam is considered. The cut represents crack model. It is shown that location of the beginning of a cut of the rod can be determined by one natural frequency of longitudinal oscillations single-digit. The appropriate example of the decision of this reverse task is given.

Keywords


  • own values
  • longitudinal fluctuations
  • core
  • regional conditions
  • interface conditions