Abstract
In this paper, we present a method by which a defect of an engineering structure can be located by monitoring only two modes of transverse vibration. The method is based on the particular way in which the energy is stored for the considered vibration modes. At the beginning of the paper, we introduce a deduced mathematical relation that allows to calculate the amount of strain energy that is lost due to a defect and how it can be used to calculate the decrease of the natural frequencies. Then, we show how the defect is located, and finally, the location method is subjected to numerical tests to prove its validity.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Dahak, M., Touat, N.: Kharoubi, M: Damage detection in beam through change in measured frequency and undamaged curvature mode shape. Inverse Prob. Sci. Eng. 27, 89–114 (2019)
Mesquita, E., Antunes, P., Coelho, F., André, P., Arêde, A., Varum, H.: Global overview on advances in structural health monitoring platforms. J. Civ. Struct. Heal. Monit. 6(3), 461–475 (2016)
Khatir, S., Dekemele, K., Loccufier, M., Khatir, T., Wahab, M.A.: Crack identification method in beam-like structures using changes in experimentally measured frequencies and particle swarm optimization. C.R. Mec. 346(2), 110–120 (2018)
Gillich, G.R., Mituletu, I.C., Praisach, Z.I., Negru, I., Tufoi, M.: Method to enhance the frequency readability for detecting incipient structural damage. Iran. J. Sci. Technol. Trans. Mech. Eng. 41, 233–242 (2017)
Gillich, G.R., Abdel Wahab, M., Praisach, Z.I., Ntakpe, J.L.: The influence of transversal crack geometry on the frequency changes of beams. In: Sas, P., Moens, D., Denayer, H. (eds.) Proceedings of International Conference on Noise and Vibration Engineering (ISMA2014) and International Conference on Uncertainty in Structural Dynamics (USD2014), 485–98 (2014)
Bovsunovsky, A., Surace, C.: Non-linearities in the vibrations of elastic structures with a closing crack: a state of the art review. Mech. Syst. Signal Process. 62–63, 129–148 (2015)
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. Appl. Mech. Mater. 430, 90–94 (2013)
Gillich, G.R., Maia, N.M.M., Mituletu, I.C., Tufoi, M., Iancu, V., Korka, Z.I.: A new approach for severity estimation of transversal cracks in multi-layered beams. Lat. Am. J. Solids Struct. 13(8), 1526–1544 (2016)
Ravi, J.T., Nidhan, S., Muthu, N., Maiti, S.K.: Analytical and experimental studies on detection of longitudinal, L and inverted T cracks in isotropic and bi-material beams based on changes in natural frequencies. Mech. Syst. Signal Process. 101, 67–96 (2018)
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(A), 29–44 (2014).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Ardeljan, M., Gillich, GR., Pop, MV., Hamat, C.O. (2022). Assessing the Crack Location in a Cantilever Beam by Analyzing the Natural Frequency Evolution. In: Herisanu, N., Marinca, V. (eds) Acoustics and Vibration of Mechanical Structures – AVMS-2021. Springer Proceedings in Physics, vol 274. Springer, Cham. https://doi.org/10.1007/978-3-030-96787-1_37
Download citation
DOI: https://doi.org/10.1007/978-3-030-96787-1_37
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-96786-4
Online ISBN: 978-3-030-96787-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)