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

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...

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Bibliographic Details
Published in:Materials science (New York, N.Y.) N.Y.), 2014-09, Vol.50 (2), p.303-313
Main Authors: Mats’ko, І. I., Yavors’kyi, I. M., Yuzefovych, R. M., Majewski, J.
Format: Article
Language:English
Subjects:
Analysis
Characterization and Evaluation of Materials
Chemistry and Materials Science
Crack initiation
Cracks
Cyclic loads
Differential equations
Fatigue (materials)
Materials Science
Nonlinearity
Solid Mechanics
Stochasticity
Structural Materials
Vibration
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Summary: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.
ISSN:1068-820X
1573-885X
DOI:10.1007/s11003-014-9722-7