Surrogate modeling for dynamic analysis of an uncertain notched rotor system and roles of Chebyshev parameters

Fu, Chao; Zhu, Weidong; Yang, Yue; Zhao, Shibo; Lu, Kuan

doi:10.1016/j.jsv.2022.116755

Cited by 20 publications

(8 citation statements)

References 43 publications

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“…The research on nonlinear rotordynamics under uncertainty is more difficult than the linear studies since there are interactions between nonlinearities and uncertainties. Some papers investigated the nonlinear dynamics of the rotor-AMBs systems [64,225,226] and cracked rotor systems [47,75,76,115,227,228]. Nonlinear analysis techniques, such as the alternating frequency/time technique (HB-AFT), orthogonal polynomial approximation and linearization, are used to deal with nonlinearities.…”

Section: Natural Characteristics and Unbalanced Responsesmentioning

confidence: 99%

“…The spurious peaks in the responses of uncertain mechanical systems are deemed as inaccurate estimations. Considering a crack in the middle span of a rotor (this causes high sensitivities of the responses to uncertainties), Fu et al [228] revealed the roles of the Chebyshev surrogate model parameters in the prediction accuracy and efficiency. It is found that the Chebyshev order is the key factor in reducing those false peaks.…”

Section: Asymmetry and Crack Faultmentioning

confidence: 99%

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A state-of-the-art review on uncertainty analysis of rotor systems

Sinou

Zhu

et al. 2023

Mechanical Systems and Signal Processing

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Section: Natural Characteristics and Unbalanced Responsesmentioning

confidence: 99%

Section: Asymmetry and Crack Faultmentioning

confidence: 99%

A state-of-the-art review on uncertainty analysis of rotor systems

Sinou

Zhu

et al. 2023

Mechanical Systems and Signal Processing

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“…Collocation methods 17,18 arrange sample points in the space of uncertainty parameters to establish an appropriate surrogate model. 19,20 Then the bounds of the structural response are obtained by solving the surrogate model. Liu et al 21 designed a Bayesian model-based collocation method to forecast the response bounds of uncertain structures.…”

Section: Introductionmentioning

confidence: 99%

A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures

Zhao

Feng

et al. 2023

Numerical Meth Engineering

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To eliminate the errors caused by the conventional interval perturbation finite element method due to classic interval arithmetic and neglect of higher-order terms, we propose a novel univariate dimension-reduction based interval finite element method to predict the static response bounds of structures with uncertain but bounded parameters. First, a univariate dimension-reduction algorithm is derived using the generalized Taylor expansion. The global stiffness matrix is expressed as the sum of the median and the univariate disturbance radius. Compared with Taylor expansion approximation, the univariate dimension-reduction approximation has higher accuracy and does not increase the amount of calculation. Then the inverse of the interval global stiffness matrix is approximated as an improved Neumann series. Higher-order terms are included by summing up the geometric terms in the Neumann series. Finally, the improved interval algorithm is used to solve the upper and lower bounds of the structural displacement response and the element stress response. The dependence between the interval parameters is accounted in comparison with the classic interval algorithm. The accuracy and effectiveness of the new method are validated by numerical cases on 2D truss, 3D frame and truck frame with multiple interval parameters.

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“…The formerly mentioned works all adopted deterministic physical models when investigating the dynamics of dual-rotor systems. However, it is gradually realized that for such complicated vibration systems there are plenty of uncertainty factors that induced vibration level increasing, unexplainable behaviours and inaccurate dynamic response estimations [19][20][21][22]. For instance, the manufacture errors, material degradations, external load disturbance and surface roughness [23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibrations of an Uncertain Dual-Rotor Rolling Bearings System with Coupling Misalignment

Yang

et al. 2022

J Nonlinear Math Phys

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In this paper, the nonlinear vibration responses of a dual-rotor system supported on the ball bearings considering coupling misalignment are investigated with inevitable uncertainties included. Moreover, uncertain parameters are modelled by non-probabilistic interval variables, alleviating the hash demands in fitting into a sophisticated probability law. It is then more suited for engineering problems that have sparse prior data on uncertainties. The deterministic vibration responses, orbits and frequency spectrum are provided first to exhibit the evolution of the vibrations. Then, several physical parameters are studied to reveal the effects of their uncertainty on the nonlinear vibrations at different rotating speeds. It is worth noting that uncertainty in the speed ratio between the higher-pressure and lower-pressure rotors has great impacts. Moreover, the sensitivity also depends on the rotating speed.

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Surrogate modeling for dynamic analysis of an uncertain notched rotor system and roles of Chebyshev parameters

Cited by 20 publications

References 43 publications

A state-of-the-art review on uncertainty analysis of rotor systems

A state-of-the-art review on uncertainty analysis of rotor systems

A novel univariate dimension‐reduction based interval finite element method for static response prediction of uncertain structures

Nonlinear Vibrations of an Uncertain Dual-Rotor Rolling Bearings System with Coupling Misalignment

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