Forced oscillations of cracked beam under the stochastic cyclic loading
Autor: | Ivan Matsko, Zbigniew Zakrzewski, Roman Yuzefovych, Ihor Javorskyj |
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Rok vydání: | 2018 |
Předmět: |
Covariance function
Differential equation Stochastic process Oscillation Mechanical Engineering Aerospace Engineering Spectral density 020206 networking & telecommunications Harmonic (mathematics) 02 engineering and technology Mechanics Covariance 01 natural sciences Computer Science Applications Control and Systems Engineering Control theory 0103 physical sciences Signal Processing 0202 electrical engineering electronic engineering information engineering 010301 acoustics Beam (structure) Civil and Structural Engineering Mathematics |
Zdroj: | Mechanical Systems and Signal Processing. 104:242-263 |
ISSN: | 0888-3270 |
DOI: | 10.1016/j.ymssp.2017.08.021 |
Popis: | An analysis of forced oscillations of cracked beam using statistical methods for periodically correlated random processes is presented. The oscillation realizations are obtained on the basis of numerical solutions of differential equations of the second order, for the case when applied force is described by a sum of harmonic and stationary random process. It is established that due to crack appearance forced oscillations acquire properties of second-order periodical non-stationarity. It is shown that in a super-resonance regime covariance and spectral characteristics, which describe non-stationary structure of forced oscillations, are more sensitive to crack growth than the characteristics of the oscillation’s deterministic part. Using diagnostic indicators formed on their basis allows the detection of small cracks. |
Databáze: | OpenAIRE |
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