Nonlinear response analysis of a rotor system with a transverse breathing crack under interval uncertainties

Chao Fu, Xingmin Ren, Yongfeng Yang, Kuan Lu, Yanlin Wang

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Parametric uncertainties are present in complex mechanical systems due to various reasons such as material dispersion and wear. This paper investigates the effects of interval uncertain parameters on the dynamic behaviors of a rotor system with a transverse breathing crack in the shaft. The uncertainties are modeled as uncertain-but-bounded interval inputs on the basis that no sufficient prior information is available to define their precise probabilistic distributions. A finite element rotor model is formulated and the harmonic balance method (HBM) is employed to solve the deterministic dynamic problem. Based on the Chebyshev approximation theory, a surrogate model for the uncertain problem is established and then used to determine the bounds of the nonlinear dynamic responses. The accuracy verification is performed by comparing with the scanning method. Simulations are carried out considering different uncertainties with several uncertain degrees. It will provide some references for early crack fault detection and condition monitoring in rotor systems with uncertainties included.

Original languageEnglish
Pages (from-to)77-87
Number of pages11
JournalInternational Journal of Non-Linear Mechanics
Volume105
Early online date4 Jul 2018
DOIs
Publication statusPublished - 1 Oct 2018
Externally publishedYes

Fingerprint

Nonlinear Response
Rotor
Crack
Transverse
Rotors
Cracks
Uncertainty
Interval
Crack Detection
Chebyshev Approximation
Harmonic Balance
Surrogate Model
Condition Monitoring
Parametric Uncertainty
Uncertain Parameters
Approximation Theory
Chebyshev approximation
Fault Detection
Prior Information
Dynamic Problem

Cite this

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title = "Nonlinear response analysis of a rotor system with a transverse breathing crack under interval uncertainties",
abstract = "Parametric uncertainties are present in complex mechanical systems due to various reasons such as material dispersion and wear. This paper investigates the effects of interval uncertain parameters on the dynamic behaviors of a rotor system with a transverse breathing crack in the shaft. The uncertainties are modeled as uncertain-but-bounded interval inputs on the basis that no sufficient prior information is available to define their precise probabilistic distributions. A finite element rotor model is formulated and the harmonic balance method (HBM) is employed to solve the deterministic dynamic problem. Based on the Chebyshev approximation theory, a surrogate model for the uncertain problem is established and then used to determine the bounds of the nonlinear dynamic responses. The accuracy verification is performed by comparing with the scanning method. Simulations are carried out considering different uncertainties with several uncertain degrees. It will provide some references for early crack fault detection and condition monitoring in rotor systems with uncertainties included.",
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Nonlinear response analysis of a rotor system with a transverse breathing crack under interval uncertainties. / Fu, Chao; Ren, Xingmin; Yang, Yongfeng; Lu, Kuan; Wang, Yanlin.

In: International Journal of Non-Linear Mechanics, Vol. 105, 01.10.2018, p. 77-87.

Research output: Contribution to journalArticle

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AU - Ren, Xingmin

AU - Yang, Yongfeng

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AB - Parametric uncertainties are present in complex mechanical systems due to various reasons such as material dispersion and wear. This paper investigates the effects of interval uncertain parameters on the dynamic behaviors of a rotor system with a transverse breathing crack in the shaft. The uncertainties are modeled as uncertain-but-bounded interval inputs on the basis that no sufficient prior information is available to define their precise probabilistic distributions. A finite element rotor model is formulated and the harmonic balance method (HBM) is employed to solve the deterministic dynamic problem. Based on the Chebyshev approximation theory, a surrogate model for the uncertain problem is established and then used to determine the bounds of the nonlinear dynamic responses. The accuracy verification is performed by comparing with the scanning method. Simulations are carried out considering different uncertainties with several uncertain degrees. It will provide some references for early crack fault detection and condition monitoring in rotor systems with uncertainties included.

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