Influence of the Parameters of Damping and Stochastic Loading on the Properties of Longitudinal Vibrations of a Rod with Crack

We analyze the deterministic and stochastic components of the realizations of longitudinal vibrations of a rod weakened by a crack determined with the help of numerical solutions of a nonlinear differential equation with stochastic driving force. It is shown that the damping coefficient strongly aff...

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Bibliographic Details
Published in:Materials science (New York, N.Y.) N.Y.), 2017, Vol.52 (4), p.580-587
Main Authors: Mats’ko, I. I., Yavors’kyi, I. M., Yuzefovych, R. M., Zakrzewski, Z.
Format: Article
Language:English
Subjects:
Analysis
Characterization and Evaluation of Materials
Chemistry and Materials Science
Damping
Decay rate
Forced vibration
Materials Science
Nonlinear differential equations
Parameters
Solid Mechanics
Structural Materials
Vibration (Physics)
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Summary:We analyze the deterministic and stochastic components of the realizations of longitudinal vibrations of a rod weakened by a crack determined with the help of numerical solutions of a nonlinear differential equation with stochastic driving force. It is shown that the damping coefficient strongly affects the structure of forced vibrations, which leads to changes in the diagnostic parameters. We present the results of the analysis of dependences of the characteristics of vibrations on the frequencies of the carrier stochastic driving force and on the rate of decay of correlations in its envelope.
ISSN:1068-820X
1573-885X
DOI:10.1007/s11003-017-9993-x