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Analyzing the effect of vibration on crack growth on shaft using fuzzy logic

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Abstract

Cracks in shafts can be identified as a significant factors for limiting the safe and reliable operation of machines. Once the crack is developed and is not detected, abrupt failure may occur and finally lead to the plant shutdown with associated various losses. Damage can be assessed visually or by measuring frequency, mode shape, and structural damping. Visual inspection is a time-consuming method for detecting damage, and evaluating mode shape and structural deformation is more difficult than measuring frequency. However, such parameters are not sensitive enough to detect early defects. This study employs changes in phase angle and natural frequency as crack indicators. The objective of this study is to detect the location and depth of the crack in a shaft using a fuzzy logic algorithm. To evaluate the natural frequencies and phase angles of the cracked shaft utilizing the change in stiffness matrices of the cracked element, theoretical calculations were performed using Matlab. To verify the theoretical values of natural frequencies, modal analysis was performed using ANSYS. To detect the location and depth of the crack, the fuzzy logic technique was used with first and second mode of natural frequencies as input parameters. The correlation coefficients for triangular, trapezoidal, and Gaussian membership functions are all close to one. In the same way, the average total errors of the three membership functions with the theoretical values are all less than 5%. This indicates that results obtained from all membership functions are observed to be close to the theoretical locations and depths of crack. So the proposed fuzzy logic technique would constitute an efficient tool for real-time crack identification.

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Funding

This research was done through the NORHED II project INDMET grant (grant nr. 62862) cooperation whose grant support is highly acknowledged. The authors will also gratefully acknowledge facility provided by Jimma University and University of Stavanger.

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Authors and Affiliations

  1. Jimma institute of Technology, Jimma University, Jimma, Ethiopia

    Mesay Alemu Tolcha, Getasew Andargie Ademe & Yohanis Dabesa Jelila

  2. Department of Mechanical Design and Manufacturing Engineering, Adama Science and Technology University, Adama, Ethiopia

    Moera Gutu Jiru

  3. Department of Mechanical and Structural Engineering, University of Stavanger, 4036, Stavanger, Norway

    Hirpa G. Lemu

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  1. Mesay Alemu Tolcha
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  2. Getasew Andargie Ademe
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  3. Yohanis Dabesa Jelila
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Correspondence to Mesay Alemu Tolcha.

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Tolcha, M.A., Ademe, G.A., Jelila, Y.D. et al. Analyzing the effect of vibration on crack growth on shaft using fuzzy logic. Meccanica 57, 2929–2946 (2022). https://doi.org/10.1007/s11012-022-01609-2

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