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Analysis of the Vibration State of a Rod Containing a Crack Under the Action of Stochastic Cyclic Loads

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By using the numerical solutions of the second-order nonlinear differential equation, we analyze vibrations of a rod under the action of stochastic exciting forces. It is shown that, in the case of initiation of a crack, vibrations acquire the properties of periodic nonstationarity. It is shown that, in the superresonance mode, the characteristics of second-order nonstationarity are more sensitive to the development of the crack than the characteristics of the deterministic component. The application of the diagnostic features constructed on the basis of these characteristics enables us to detect cracks even of small lengths.

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Authors and Affiliations

  1. Karpenko Physicomechanical Institute, Ukrainian National Academy of Sciences, Lviv, Ukraine

    І. I. Mats’ko, I. M. Yavors’kyi & R. M. Yuzefovych

  2. Institute of Telecommunications, University of Technology and Life Sciences, Bydgoszcz, Poland

    I. M. Yavors’kyi & J. Majewski

Authors
  1. І. I. Mats’ko
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  2. I. M. Yavors’kyi
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  3. R. M. Yuzefovych
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  4. J. Majewski
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Corresponding author

Correspondence to R. M. Yuzefovych.

Additional information

Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 50, No. 2, pp. 128–136, March–April, 2014.

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Mats’ko, І.I., Yavors’kyi, I.M., Yuzefovych, R.M. et al. Analysis of the Vibration State of a Rod Containing a Crack Under the Action of Stochastic Cyclic Loads. Mater Sci 50, 303–313 (2014). https://doi.org/10.1007/s11003-014-9722-7

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  • DOI: https://doi.org/10.1007/s11003-014-9722-7

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