Dynamics analysis of a hollow-shaft rotor system with an open crack under model uncertainties

Chao Fu, Yuandong Xu, Yongfeng Yang, Kuan Lu, Fengshou Gu, Andrew Ball

Research output: Contribution to journalArticle

Abstract

This paper focuses on the vibration behaviors of a hollow-shaft rotor system in presence of an open crack under inherent model uncertainties. Non-probabilistic interval variables are used to represent the uncertain parameters, which releases the high demands of probabilistic knowledge in the traditional methods. In modeling the shaft, local stiffness matrix of the cracked element is derived by using the neutral axis method. The periodic response of the rotor system is solved by combination of the finite element method (FEM) and the harmonic balance method (HBM). A simple mathematical function, termed as the uncertain response surrogate function (URSF), is constructed to estimate the vibrational response in various cases where different parametric uncertainties are taken into consideration. In order to verify the robustness and accuracy of the URSF, the bounds of estimated response are compared with those obtained from the classical methods. Results show that the surrogate function has good accuracy and robustness, providing an effective method and guidance for diagnosing crack in uncertain context.
Original languageEnglish
Article number105102
Number of pages18
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume83
Early online date6 Nov 2019
DOIs
Publication statusE-pub ahead of print - 6 Nov 2019

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Model Uncertainty
Dynamic Analysis
Dynamic analysis
Rotor
Crack
Rotors
Cracks
Robustness
Stiffness matrix
Harmonic Balance
Parametric Uncertainty
Uncertain Parameters
Stiffness Matrix
Guidance
Finite element method
Vibration
Finite Element Method
Uncertainty
Verify
Interval

Cite this

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title = "Dynamics analysis of a hollow-shaft rotor system with an open crack under model uncertainties",
abstract = "This paper focuses on the vibration behaviors of a hollow-shaft rotor system in presence of an open crack under inherent model uncertainties. Non-probabilistic interval variables are used to represent the uncertain parameters, which releases the high demands of probabilistic knowledge in the traditional methods. In modeling the shaft, local stiffness matrix of the cracked element is derived by using the neutral axis method. The periodic response of the rotor system is solved by combination of the finite element method (FEM) and the harmonic balance method (HBM). A simple mathematical function, termed as the uncertain response surrogate function (URSF), is constructed to estimate the vibrational response in various cases where different parametric uncertainties are taken into consideration. In order to verify the robustness and accuracy of the URSF, the bounds of estimated response are compared with those obtained from the classical methods. Results show that the surrogate function has good accuracy and robustness, providing an effective method and guidance for diagnosing crack in uncertain context.",
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Dynamics analysis of a hollow-shaft rotor system with an open crack under model uncertainties. / Fu, Chao; Xu, Yuandong; Yang, Yongfeng; Lu, Kuan; Gu, Fengshou; Ball, Andrew.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 83, 105102, 01.04.2020.

Research output: Contribution to journalArticle

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AU - Ball, Andrew

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AB - This paper focuses on the vibration behaviors of a hollow-shaft rotor system in presence of an open crack under inherent model uncertainties. Non-probabilistic interval variables are used to represent the uncertain parameters, which releases the high demands of probabilistic knowledge in the traditional methods. In modeling the shaft, local stiffness matrix of the cracked element is derived by using the neutral axis method. The periodic response of the rotor system is solved by combination of the finite element method (FEM) and the harmonic balance method (HBM). A simple mathematical function, termed as the uncertain response surrogate function (URSF), is constructed to estimate the vibrational response in various cases where different parametric uncertainties are taken into consideration. In order to verify the robustness and accuracy of the URSF, the bounds of estimated response are compared with those obtained from the classical methods. Results show that the surrogate function has good accuracy and robustness, providing an effective method and guidance for diagnosing crack in uncertain context.

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