Estimation of the severity of damage produced by a transverse crack

Authors

  • Marius-Vasile POP PhD student, Babeș-Bolyai University, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, marius.pop@student.uem.ro https://orcid.org/0000-0002-8219-6099
  • Gilbert-Rainer GILLICH Babeș-Bolyai University, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, gr.gillich@uem.ro (* corresponding author) https://orcid.org/0000-0003-4962-2567
  • Cristian TUFISI PhD student, Babeș-Bolyai University, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, cristiantufisi@yahoo.com https://orcid.org/0000-0002-0567-6072
  • Zeno-Iosif PRAISACH Babeș-Bolyai University, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, zpraisach@yahoo.com https://orcid.org/0000-0002-8613-8224
  • Lucian PĂUN Eng., Babeș-Bolyai University, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, lucian.paun@student.uem.ro

DOI:

https://doi.org/10.24193/subbeng.2020.1.15

Keywords:

cantilever beam, transverse crack, damage severity, deflection, statistical method

Abstract

This paper presents a method to find the severity of a crack for cantilever beams that can be used to estimate the frequency drop due to the crack. The severity is found for the crack located at the location where the biggest curvature (or bending moment) is achieved. Because the fixing condition does not permit a symmetrical deformation around the crack, the apparent severity is smaller as the real one. The latter is found by the estimated value of the trend-line at the fixed end, it being constructed on points that consider the crack position (equidistant points in the proximity of the fixed end) and the resulted deflections.

References

Thomson W.J., Vibration of slender bars with discontinuities in stiffness, Journal of Applied Mechanics, 17, 1943, pp. 203-207.

Liebowitz H., Vanderveldt H., Harris DW., Carrying capacity of notched column, International Journal of Solids and Structures, 3(4), 1967, pp. 489–500.

Liebowitz H. Claus Jr. W.D.S., Failure of notched columns, Engineering Fracture Mechanics, 1(1), 1968, pp. 379–383.

Rizos P.F., Aspragathos N., Dimarogonas A.D., Identification of Crack Location and Magnitude in a Cantilever Beam from the Vibration Modes, Journal of Sound and Vibration, 138(3), 1990, pp. 381-388.

Dimarogonas A.D., Vibration of cracked structures - A state of the art review, Engineering Fracture Mechanics, 5, 1996, pp. 831-857.

Bilello C., Theoretical and Experimental Investigation on Damaged Beams under Moving Systems, Ph.D. Thesis, Universita` degli Studi di Palermo, Italy, 2001.

Ostachowicz W., Krawczuk M., On modelling of structural stiffness loss due to damage, in DAMAS 2001: 4th Int. Conf. Damage Assessment of Structures, Cardiff, UK, 2001, pp. 185–199

Chondros T.J., Dimarogonas A.D., Yao J., A continuous cracked beam vibration theory, Journal of Sound and Vibration, 215(1), 1998, pp. 17–34.

Gillich G.R., Tufoi M., Korka Z.I., Stanciu E., Petrica A., The Relations be-tween Deflection, Stored Energy and Natural Frequencies, with Application in Damage Detection, Romanian Journal of Acoustics and Vibration, 13(2), 2016, pp. 87-93.

Praisach Z.I., Gillich G.R., Protocsil C., Muntean F., Evaluation of Crack Depth in Beams for known Damage Location based on Vibration Modes Analysis, Applied Mechanics and Materials, 430, 2013, pp. 90-94.

Gillich G.R., Praisach Z.I., Iancu V., Furdui H., Negru I., Natural Frequency Changes due to Severe Corrosion in Metallic Structures, Strojniški vestnik - Journal of Mechanical Engineering, 61(12), 2015, pp. 721-730.

Gillich G.R., Maia N., Mituletu I.C., Tufoi M., Iancu V., Korka Z., A new approach for severity estimation of transversal cracks in multi-layered beams, Latin American Journal of Solids and Structures, 13(8), 2016, pp. 1526-1544.

Negru I., Praisach Z.I., Gillich G.R., Vasile O., About the Neutral Axis Distortion due to Cracks and its Influence upon the Beams Natural Frequencies, Romanian Journal of Acoustics and Vibration, 12(1), 2015, pp. 35-38.

Gillich G.R., Praisach Z.I., Modal identification and damage detection in beam-like structures using the power spectrum and time-frequency analysis, Signal Processing, 96, 2014, pp. 29-44.

STUDIA UBB ENGINEERING, Volume 65 (LXV), No. 1, November 2020

Downloads

Published

2020-11-23

How to Cite

POP, M.-V., GILLICH, G.-R., TUFISI, C., PRAISACH, Z.-I., & PĂUN, L. (2020). Estimation of the severity of damage produced by a transverse crack. Studia Universitatis Babeș-Bolyai Engineering, 65(1), 137–144. https://doi.org/10.24193/subbeng.2020.1.15

Issue

Volume 65, No. 1, November 2020

Section

Articles

License

Copyright (c) 2020 Studia Universitatis Babeș-Bolyai Engineering

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Most read articles by the same author(s)

1 2 > >>