Negative potential energy content analysis in cracked rotors whirl response

Abstract Appearance of transverse cracks in rotor systems mainly affects their stiffness content. The stability of such systems at steady-state running is usually analyzed by using the Floquet’s theory. Accordingly, the instability zones of rotational speeds are dominated by negative stiffness conte...

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Autores principales:	Mohammad A. AL-Shudeifat, Fatima K. Alhammadi
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/bd0f0538bf054374bbd363b9e457c9ed
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spelling	oai:doaj.org-article:bd0f0538bf054374bbd363b9e457c9ed2021-12-02T16:24:22ZNegative potential energy content analysis in cracked rotors whirl response10.1038/s41598-021-94836-82045-2322https://doaj.org/article/bd0f0538bf054374bbd363b9e457c9ed2021-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-94836-8https://doaj.org/toc/2045-2322Abstract Appearance of transverse cracks in rotor systems mainly affects their stiffness content. The stability of such systems at steady-state running is usually analyzed by using the Floquet’s theory. Accordingly, the instability zones of rotational speeds are dominated by negative stiffness content in the whirl response in the vicinity of critical rotational speeds. Consequently, an effective stiffness measure is introduced here to analyze the effect of the crack and the unbalance force vector orientation on the intensity of negative potential and stiffness content in the whirl response. The effective stiffness expression is obtained from the direct integration of the equations of motion of the considered cracked rotor system. The proposed effective stiffness measure is applied for steady-state and transient operations using the Jeffcott rotor model with open and breathing crack models. The intensity of negative potential and stiffness content in the numerical and experimental whirl responses is found to be critically depending on the propagation level of the crack and the unbalance force vector orientation. Therefore, this can be proposed as a crack detection tool in cracked rotor systems that either exhibit recurrent passage through the critical rotational speeds or steady-state running.Mohammad A. AL-ShudeifatFatima K. AlhammadiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-20 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Mohammad A. AL-Shudeifat Fatima K. Alhammadi Negative potential energy content analysis in cracked rotors whirl response
description	Abstract Appearance of transverse cracks in rotor systems mainly affects their stiffness content. The stability of such systems at steady-state running is usually analyzed by using the Floquet’s theory. Accordingly, the instability zones of rotational speeds are dominated by negative stiffness content in the whirl response in the vicinity of critical rotational speeds. Consequently, an effective stiffness measure is introduced here to analyze the effect of the crack and the unbalance force vector orientation on the intensity of negative potential and stiffness content in the whirl response. The effective stiffness expression is obtained from the direct integration of the equations of motion of the considered cracked rotor system. The proposed effective stiffness measure is applied for steady-state and transient operations using the Jeffcott rotor model with open and breathing crack models. The intensity of negative potential and stiffness content in the numerical and experimental whirl responses is found to be critically depending on the propagation level of the crack and the unbalance force vector orientation. Therefore, this can be proposed as a crack detection tool in cracked rotor systems that either exhibit recurrent passage through the critical rotational speeds or steady-state running.
format	article
author	Mohammad A. AL-Shudeifat Fatima K. Alhammadi
author_facet	Mohammad A. AL-Shudeifat Fatima K. Alhammadi
author_sort	Mohammad A. AL-Shudeifat
title	Negative potential energy content analysis in cracked rotors whirl response
title_short	Negative potential energy content analysis in cracked rotors whirl response
title_full	Negative potential energy content analysis in cracked rotors whirl response
title_fullStr	Negative potential energy content analysis in cracked rotors whirl response
title_full_unstemmed	Negative potential energy content analysis in cracked rotors whirl response
title_sort	negative potential energy content analysis in cracked rotors whirl response
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/bd0f0538bf054374bbd363b9e457c9ed
work_keys_str_mv	AT mohammadaalshudeifat negativepotentialenergycontentanalysisincrackedrotorswhirlresponse AT fatimakalhammadi negativepotentialenergycontentanalysisincrackedrotorswhirlresponse
_version_	1718384135198736384

Negative potential energy content analysis in cracked rotors whirl response

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