Research Papers

Reduced-Order Modeling for Stability and Steady-State Response Analysis of Asymmetric Rotor Using Three-Dimensional Finite Element Model

[+] Author and Article Information
Zhaoli Zheng

Key Laboratory of Thermo-Fluid
Science and Engineering,
Ministry of Education,
School of Energy and Power Engineering,
Xi'an Jiaotong University,
Xi'an, Shaanxi Province 710049, China
e-mail: 18974267525@163.com

Yonghui Xie

Shaanxi Engineering Laboratory of
Turbomachinery and Power Equipment,
School of Energy and Power Engineering,
Xi'an Jiaotong University,
Xi'an, Shaanxi Province 710049, China
e-mail: yhxie@mail.xjtu.edu.cn

Di Zhang

Key Laboratory of Thermo-Fluid
Science and Engineering,
Ministry of Education,
School of Energy and Power Engineering,
Xi'an Jiaotong University,
Xi'an, Shaanxi Province 710049, China
e-mail: zhang_di@mail.xjtu.edu.cn

1Corresponding author.

Manuscript received June 25, 2019; final manuscript received June 28, 2019; published online July 22, 2019. Editor: Jerzy T. Sawicki.

J. Eng. Gas Turbines Power 141(10), 101001 (Jul 22, 2019) (9 pages) Paper No: GTP-19-1328; doi: 10.1115/1.4044217 History: Received June 25, 2019; Revised June 28, 2019

A generalized and efficient technique of reduced-order model (ROM) is proposed in this paper for stability and steady-state response analysis of an asymmetric rotor based on three-dimensional (3D) finite element model. The equations of motion of the asymmetric rotor-bearing system are established in the rotating frame. Therefore, the periodic time-variant coefficients only exist at a tiny minority of degrees-of-freedom (DOFs) of bearings. During the model reduction process, the asymmetric rotor-bearing system is divided into rotor and bearings. Only the rotor was reduced. And the physical coordinates of bearings are kept in the reduced model during reduction. Then, the relationship between the rotor and bearings is established by inserting periodic time-variant stiffness and damping matrix of bearings into the reduced model of rotor. There is no reduction to the matrices of bearings, which guarantees the accuracy of the calculation. This technique combined with fixed-interface component mode synthesis (CMS) and free-interface CMS is compared with other existing modal reduction method on an off-center asymmetric rotor and shows good performance.

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Fig. 1

The eight-coefficient journal bearing model

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Fig. 2

Three-dimensional finite element model of an off-center asymmetric rotor

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Fig. 3

The real part of the eigenvalues versus rotational speed: (a) isotropic system and (b) anisotropic system

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Fig. 4

The transverse amplitudes of anisotropic system versus the number of harmonics in Hill's method

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Fig. 5

The transverse amplitudes versus rotational speed: (a) isotropic system and (b) anisotropic system

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Fig. 6

The amplitudes of each harmonic component versus rotational speed: (a) isotropic system and (b) anisotropic system

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Fig. 7

The relative error of amplitudes of each harmonic component versus rotational speed: (a) 1 × harmonics, (b) 2 × harmonics, (c) 3 × harmonics, and (d) 4 × harmonics



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