Open AccessCrack modeling of metal rod eigen-frequencies
Author(s) -
A. Gavrilov,
G. I. Grebenyuk,
V. I. Maksak,
N. Morozov
Publication year - 2021
Publication title -
vestnik tomskogo gosudarstvennogo arhitekturno-stroitelʹnogo universiteta
Language(s) - English
Resource type - Journals
eISSN - 2310-0044
pISSN - 1607-1859
DOI - 10.31675/1607-1859-2021-23-2-56-64
Subject(s) - cantilever , vibration , acoustics , spectrum analyzer , position (finance) , structural engineering , materials science , normal mode , physics , optics , engineering , economics , finance
The paper presents the development of approaches to the crack detection in metal rod structures based on the analysis of the lowest eigen-frequency modes. Full-scale experiments and numerical calculations are carried out, and the obtained results are compared. A vibration analyzer is used for full-scale experiments, and numerical calculations are performed by using Autodesk Inventor. With regard to the internal friction, the antinodes of various vibration forms were identified using a specially developed program. The model includes sensors for the the field experiment as masses affecting the frequency-response characteristics. The dependences are obtained for eigen-frequencies in the presence of cracks and for the crack locations. The polynomial dependences of the crack location on the lowest eigen-frequency modes of the rod can be used to analyze the crack position of in cantilever beams.