An interval precise integration method for transient unbalance response analysis of rotor system with uncertainty

Chao Fu, Xingmin Ren, Yongfeng Yang, Yebao Xia, Wangqun Deng

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

A non-intrusive interval precise integration method (IPIM) is proposed in this paper to analyze the transient unbalance response of uncertain rotor systems. The transfer matrix method (TMM) is used to derive the deterministic equations of motion of a hollow-shaft overhung rotor. The uncertain transient dynamic problem is solved by combing the Chebyshev approximation theory with the modified precise integration method (PIM). Transient response bounds are calculated by interval arithmetic of the expansion coefficients. Theoretical error analysis of the proposed method is provided briefly, and its accuracy is further validated by comparing with the scanning method in simulations. Numerical results show that the IPIM can keep good accuracy in vibration prediction of the start-up transient process. Furthermore, the proposed method can also provide theoretical guidance to other transient dynamic mechanical systems with uncertainties.

Original languageEnglish
Pages (from-to)137-148
Number of pages12
JournalMechanical Systems and Signal Processing
Volume107
Early online date8 Feb 2018
DOIs
Publication statusPublished - 1 Jul 2018
Externally publishedYes

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Transient analysis
Rotors
Chebyshev approximation
Approximation theory
Transfer matrix method
Error analysis
Equations of motion
Scanning
Uncertainty

Cite this

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title = "An interval precise integration method for transient unbalance response analysis of rotor system with uncertainty",
abstract = "A non-intrusive interval precise integration method (IPIM) is proposed in this paper to analyze the transient unbalance response of uncertain rotor systems. The transfer matrix method (TMM) is used to derive the deterministic equations of motion of a hollow-shaft overhung rotor. The uncertain transient dynamic problem is solved by combing the Chebyshev approximation theory with the modified precise integration method (PIM). Transient response bounds are calculated by interval arithmetic of the expansion coefficients. Theoretical error analysis of the proposed method is provided briefly, and its accuracy is further validated by comparing with the scanning method in simulations. Numerical results show that the IPIM can keep good accuracy in vibration prediction of the start-up transient process. Furthermore, the proposed method can also provide theoretical guidance to other transient dynamic mechanical systems with uncertainties.",
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An interval precise integration method for transient unbalance response analysis of rotor system with uncertainty. / Fu, Chao; Ren, Xingmin; Yang, Yongfeng; Xia, Yebao; Deng, Wangqun.

In: Mechanical Systems and Signal Processing, Vol. 107, 01.07.2018, p. 137-148.

Research output: Contribution to journalArticle

TY - JOUR

T1 - An interval precise integration method for transient unbalance response analysis of rotor system with uncertainty

AU - Fu, Chao

AU - Ren, Xingmin

AU - Yang, Yongfeng

AU - Xia, Yebao

AU - Deng, Wangqun

PY - 2018/7/1

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N2 - A non-intrusive interval precise integration method (IPIM) is proposed in this paper to analyze the transient unbalance response of uncertain rotor systems. The transfer matrix method (TMM) is used to derive the deterministic equations of motion of a hollow-shaft overhung rotor. The uncertain transient dynamic problem is solved by combing the Chebyshev approximation theory with the modified precise integration method (PIM). Transient response bounds are calculated by interval arithmetic of the expansion coefficients. Theoretical error analysis of the proposed method is provided briefly, and its accuracy is further validated by comparing with the scanning method in simulations. Numerical results show that the IPIM can keep good accuracy in vibration prediction of the start-up transient process. Furthermore, the proposed method can also provide theoretical guidance to other transient dynamic mechanical systems with uncertainties.

AB - A non-intrusive interval precise integration method (IPIM) is proposed in this paper to analyze the transient unbalance response of uncertain rotor systems. The transfer matrix method (TMM) is used to derive the deterministic equations of motion of a hollow-shaft overhung rotor. The uncertain transient dynamic problem is solved by combing the Chebyshev approximation theory with the modified precise integration method (PIM). Transient response bounds are calculated by interval arithmetic of the expansion coefficients. Theoretical error analysis of the proposed method is provided briefly, and its accuracy is further validated by comparing with the scanning method in simulations. Numerical results show that the IPIM can keep good accuracy in vibration prediction of the start-up transient process. Furthermore, the proposed method can also provide theoretical guidance to other transient dynamic mechanical systems with uncertainties.

KW - Interval analysis

KW - Precise integration

KW - Rotors

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