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Research Papers

Vibrations of Flexible Multistage Rotor Systems Supported by Water-Lubricated Rubber Bearings

[+] Author and Article Information
Shibing Liu

Mem. ASME
Department of Aerospace and
Mechanical Engineering,
University of Southern California,
Los Angeles, CA 90089
e-mail: shibingl@usc.edu

Bingen Yang

Fellow ASME
Department of Aerospace and
Mechanical Engineering,
University of Southern California,
Los Angeles, CA 90089
e-mail: bingen@usc.edu

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 30, 2016; final manuscript received October 19, 2016; published online February 22, 2017. Assoc. Editor: Patrick S. Keogh.

J. Vib. Acoust 139(2), 021016 (Feb 22, 2017) (12 pages) Paper No: VIB-16-1330; doi: 10.1115/1.4035136 History: Received June 30, 2016; Revised October 19, 2016

Flexible multistage rotor systems that are supported by water-lubricated rubber bearings (WLRBs) are seen in various engineering applications. Vibration analysis is important to design and performance of such dynamic systems. In the past, due to the lack of reliable models of WLRBs, vibration analysis of this type of rotor systems has not been well addressed. In this paper, a method for modeling and analysis of WLRB-supported multistage rotor systems is proposed. In the development, a new model of WLRBs is integrated with a distributed transfer function formulation, which eventually yields accurate results on the eigensolutions, critical speeds, and steady-state responses of WLRB-supported rotor systems. The proposed method is illustrated in a numerical study on a three-stage rotor system. It is shown that the proposed method provides a useful tool for optimal design of flexible multistage rotor systems with WLRBs.

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Figures

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Fig. 1

Schematic of a flexible multistage rotor-bearing system

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Fig. 2

Basic elements of the rotor-bearing system

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Fig. 3

A rigid disk at node i

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Fig. 4

A short bearing at node i

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Fig. 5

A distributed model of WLRB

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Fig. 6

Distribution of dynamic stiffness of WLRBs (a) case I: uniform dynamic stiffness and (b) case II: stepped dynamic stiffness

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Fig. 7

A uniform shaft with a rigid disk

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Fig. 8

A multistage rotor system with long WLRBs

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Fig. 9

Effect of models of long WLRBs on the unbalance mass response of the multistage system at disk 1

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Fig. 10

Effect of length of long WLRBs on the unbalance mass response of the multistage system at disk 1

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Fig. 11

Effect of the bearing locations on the unbalance mass response at disk 2 of the multistage system (a) bearing 1, (b) bearing 3, and (c) bearing 5

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Fig. 12

Whirl motion at Ω=601 rpm at disk 2 of the multistage system with different locations of bearing 1

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Fig. 13

Effect of number of bearings on the unbalance mass response at disk 3 of the multistage system

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