Steady-state response analysis of cracked rotors with uncertain‑but‑bounded parameters using a polynomial surrogate method

Chao Fu, Xingmin Ren, Yongfeng Yang, Kuan Lu, Weiyang Qin

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Uncertain‑but‑bounded (UBB) parameters are used to describe the non-probabilistic uncertainties in rotor systems. A general non-intrusive polynomial surrogate is constructed to quantify the uncertain effects of the UBB quantities on the dynamic responses. The surrogate is convenient to establish and able to deal with a large number of uncertain variables. The zeros of the Chebyshev series are used as sample points and the least square method (LSM) is employed to evaluate the coefficients. At the sample points of the polynomial surrogate, the harmonic balance method is applied to obtain the sample responses (PS-HBM). During the surrogate modeling, the deterministic rotor system with a breathing crack is treated as a black box and no modifications should be made to the deterministic finite element (FE) analysis process. It needs no distribution laws and is especially helpful in small sample sized problems. Numerical simulations of the rotor system with various UBB parameters are carried out to demonstrate the effectiveness of the surrogate. Moreover, its accuracy and efficiency are verified by comparisons with other classic sampling methods.

Original languageEnglish
Pages (from-to)240-256
Number of pages17
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume68
Early online date18 Aug 2018
DOIs
Publication statusPublished - 1 Mar 2019
Externally publishedYes

Fingerprint

Rotor
Rotors
Polynomials
Polynomial
Sample point
Dynamic response
Chebyshev Series
Harmonic Balance
Sampling
Cracks
Finite element method
Sampling Methods
Black Box
Dynamic Response
Least Square Method
Small Sample
Computer simulation
Crack
Quantify
Finite Element

Cite this

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title = "Steady-state response analysis of cracked rotors with uncertain‑but‑bounded parameters using a polynomial surrogate method",
abstract = "Uncertain‑but‑bounded (UBB) parameters are used to describe the non-probabilistic uncertainties in rotor systems. A general non-intrusive polynomial surrogate is constructed to quantify the uncertain effects of the UBB quantities on the dynamic responses. The surrogate is convenient to establish and able to deal with a large number of uncertain variables. The zeros of the Chebyshev series are used as sample points and the least square method (LSM) is employed to evaluate the coefficients. At the sample points of the polynomial surrogate, the harmonic balance method is applied to obtain the sample responses (PS-HBM). During the surrogate modeling, the deterministic rotor system with a breathing crack is treated as a black box and no modifications should be made to the deterministic finite element (FE) analysis process. It needs no distribution laws and is especially helpful in small sample sized problems. Numerical simulations of the rotor system with various UBB parameters are carried out to demonstrate the effectiveness of the surrogate. Moreover, its accuracy and efficiency are verified by comparisons with other classic sampling methods.",
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Steady-state response analysis of cracked rotors with uncertain‑but‑bounded parameters using a polynomial surrogate method. / Fu, Chao; Ren, Xingmin; Yang, Yongfeng; Lu, Kuan; Qin, Weiyang.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 68, 01.03.2019, p. 240-256.

Research output: Contribution to journalArticle

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AU - Yang, Yongfeng

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AU - Qin, Weiyang

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AB - Uncertain‑but‑bounded (UBB) parameters are used to describe the non-probabilistic uncertainties in rotor systems. A general non-intrusive polynomial surrogate is constructed to quantify the uncertain effects of the UBB quantities on the dynamic responses. The surrogate is convenient to establish and able to deal with a large number of uncertain variables. The zeros of the Chebyshev series are used as sample points and the least square method (LSM) is employed to evaluate the coefficients. At the sample points of the polynomial surrogate, the harmonic balance method is applied to obtain the sample responses (PS-HBM). During the surrogate modeling, the deterministic rotor system with a breathing crack is treated as a black box and no modifications should be made to the deterministic finite element (FE) analysis process. It needs no distribution laws and is especially helpful in small sample sized problems. Numerical simulations of the rotor system with various UBB parameters are carried out to demonstrate the effectiveness of the surrogate. Moreover, its accuracy and efficiency are verified by comparisons with other classic sampling methods.

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