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Numerical study of vibrations of a nonlinear mechanical system simulating a cracked body

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Strength of Materials Aims and scope

Abstract

The paper presents the results of a numerical study of forced and decaying vibrations of a system simulating a body with a closing crack under the action of various modes of a nonlinear restoring force and nonlinear viscous friction or the hysteresis-type energy dissipation. We obtained the general patterns of appearance of higher harmonics of the Fourier expansion of time dependence of vibration of a cracked body model. The sensitivity of the higher-harmonic method to the presence of a crack is compared with that of some other vibration damage indicators.

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Authors
  1. A. P. Bovsunovskii
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Additional information

Institute of Problems of Strength, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Problemy Prochnosti, No. 6, pp. 65–80, November–December, 1999.

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Bovsunovskii, A.P. Numerical study of vibrations of a nonlinear mechanical system simulating a cracked body. Strength Mater 31, 571–581 (1999). https://doi.org/10.1007/BF02510893

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  • DOI: https://doi.org/10.1007/BF02510893

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