Application of the transient proper orthogonal decomposition method for order reduction of rotor systems with faults

Lu, Kuan; Chen, Yushu; Jin, Yulin; Hou, Lei

doi:10.1007/s11071-016-3004-x

Cited by 22 publications

(13 citation statements)

References 27 publications

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“…The result of the nonlinearity evaluation will satisfy ≥ 0. It is quite challenging to discuss the highdimensional system (3) and (8) in an analytical way. Therefore, the calculations of nonlinearity measure resorted to numerical methods, where the fourth order Runge-Kutta method is used to integrate the dynamic systems.…”

Section: Assessment Of Severity Of Nonlinearity Via Nonlinearity Measmentioning

confidence: 99%

“…Extensive research has been achieved on the analysis and diagnosis of pedestal looseness in rotor systems in the past decades [7][8][9][10][11][12][13][14][15]. Goldman and Muszynska [16,17] developed a bilinear model for an unbalanced rotor/bearing/stator system with looseness faults, and chaotic characteristics of responses were observed.…”

Section: Introductionmentioning

confidence: 99%

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The Influence of Slowly Varying Mass on Severity of Dynamics Nonlinearity of Bearing‐Rotor Systems with Pedestal Looseness

Jiang

Liu

2018

Shock and Vibration

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Nonlinearity measure is proposed to investigate the influence of slowly varying mass on severity of dynamics nonlinearity of bearing-rotor systems with pedestal looseness. A nonlinear mathematical model including the effect of slowly varying disk mass is developed for a bearing-rotor system with pedestal looseness. The varying of equivalent disk mass is described by a cosine function, and the amplitude coefficient is used as a control parameter. Then, nonlinearity measure is employed to quantify the severity of dynamics nonlinearity of bearing-rotor systems. With the increasing of looseness clearances, the curves that denote the trend of nonlinearity degree are plotted for each amplitude coefficient of mass varying. It can be concluded that larger amplitude coefficients of the disk mass varying will have more influence on the severity of dynamics nonlinearity and generation of chaotic behaviors in rotor systems with pedestal looseness.

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Section: Assessment Of Severity Of Nonlinearity Via Nonlinearity Measmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Influence of Slowly Varying Mass on Severity of Dynamics Nonlinearity of Bearing‐Rotor Systems with Pedestal Looseness

Jiang

Liu

2018

Shock and Vibration

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“…The TPOD method was also applied in the rotor-bearing systems with looseness at one end and both ends, respectively. The POM energy method was used to confirm the dimension of the reduced systems, the energy also gave expression to the physical significance of the TPOD method [50]. The TPOD method was applied to reduce the 6-DOFs rotor system model with cubically non-linear stiffness to a 1-DOF system, and the bifurcation behaviors of universal unfolding were discussed [51].…”

Section: Introductionmentioning

confidence: 99%

Dynamical Behaviors Analysis of the Rotor Model with Coupling Faults and Applications of the TPOD Method

Zhang

et al. 2020

Applied Sciences

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The transient proper orthogonal decomposition (TPOD) method is applied for order reduction in the rotor-bearing system with the coupling faults in this paper. A 24 degrees of freedom (DOFs) rotor model supported by a pair of sliding bearings with both crack and rub-impact faults is established by the discrete modeling method. The complexity of dynamic behaviors of the rotor system with the coupling faults is discussed via the comparison of the rotor system with the single fault (crack or rub-impact). The proper orthogonal mode (POM) energy method is proposed to confirm the DOF number of the reduced model. The TPOD method is used in the coupling faults system to obtain the optimal order reduction model based on the POM energy. The efficiency of the order reduction method is verified by comparing the bifurcation behaviors between the original and the reduced system. The TPOD method provides the optimal order reduction model to study the non-linear dynamic characteristics of the complex rotor system with the coupling faults.

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“…It was found that the uncertain effect cannot be neglected in some circumstances. The proper orthogonal decomposition method can be applied to model reduction for deterministic and random rotor systems [16]. Li et al [17] investigated the nonlinear stochastic response of an angular misalignment rotor considering the fluid induced random forces.…”

Section: Introductionmentioning

confidence: 99%

Non-probabilistic analysis of a double-disk rotor system with uncertain parameters

Ren

Yang

2018

J. vibroeng.

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Vibration is a major issue in rotor systems. Due to the presence of material property dispersions, manufacture or assembling errors and time-varying working status, rotor systems are always subject to uncertainties. The uncertainties should be taken into consideration to understand the dynamic characteristics of rotors more thoroughly. In this study, interval analysis is carried out to investigate the non-probabilistic characteristics of a double-disk rotor with uncertain parameters. The uncertainties are modeled as uncertain-but-bounded variables due to insufficient essential information to define their precise probabilistic distributions. The deterministic analysis model is derived by the finite element method (FEM). The accuracy and effectiveness of the proposed method in solving uncertain rotor problems are validated by comparative study with the Monte Carlo simulation (MCS). Several cases where different physical parameters are regarded as uncertain are investigated and the dynamic response bounds are obtained. Simulations suggest that uncertainties have significant influence on the dynamic characteristics of the rotor system. Multi-source uncertainties propagation can cause heavy vibrations in mechanical systems.

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Application of the transient proper orthogonal decomposition method for order reduction of rotor systems with faults

Cited by 22 publications

References 27 publications

The Influence of Slowly Varying Mass on Severity of Dynamics Nonlinearity of Bearing‐Rotor Systems with Pedestal Looseness

The Influence of Slowly Varying Mass on Severity of Dynamics Nonlinearity of Bearing‐Rotor Systems with Pedestal Looseness

Dynamical Behaviors Analysis of the Rotor Model with Coupling Faults and Applications of the TPOD Method

Non-probabilistic analysis of a double-disk rotor system with uncertain parameters

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