0
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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Rao, J. S. , 1991, Rotor Dynamics, Wiley, New York.
Childs, D. , 1993, Turbomachinery Rotordynamics: Phenomena, Modeling, and Analysis, Wiley, New York.
Lalanne, M. , and Ferraris, G. , 1998, Rotordynamics Prediction in Engineering, Wiley, New York.
Chen, W. J. , and Gunter, E. J. , 2007, Introduction to Dynamics of Rotor-Bearing Systems, Trafford Publishing, Victoria, BC, Canada.
Friswell, M. I. , Penny, J. E. T. , Garvey, S. D. , and Lees, A. W. , 2010, Dynamics of Rotating Machines, Cambridge University Press, New York.
Kang, Y. , Shin, Y. P. , and Lee, A. C. , 1992, “ Investigation on the Steady-State Response of Asymmetric Rotors,” ASME J. Vib. Acoust., 114(2), pp. 194–208. [CrossRef]
Oncescu, F. , Lakis, A. A. , and Ostiguy, G. , 2001, “ Investigation of the Stability and Steady State Response of Asymmetric Rotors, Using Finite Element Formulation,” J. Sound Vib., 245(2), pp. 303–328. [CrossRef]
Hili, M. A. , Fakhfakh, T. , and Haddar, M. , 2007, “ Vibration Analysis of a Rotating Flexible Shaft-Disk System,” J. Eng. Math., 57(4), pp. 351–363. [CrossRef]
Yim, K. B. , Noah, S. T. , and Vance, J. M. , 1986, “ Effect of Tangential Torque on the Dynamics of Flexible Rotors,” ASME J. Appl. Mech., 53(3), pp. 711–718. [CrossRef]
Lee, C. W. , and Yun, J. S. , 1996, “ Dynamic Analysis of Flexible Rotors Subjected to Torque and Forces,” J. Sound Vib., 192(2), pp. 439–452. [CrossRef]
Lee, C. W. , Katz, R. , Ulsoy, A. G. , and Scott, R. A. , 1988, “ Modal Analysis of a Distributed Parameter Rotating Shaft,” J. Sound Vib., 122(1), pp. 119–130. [CrossRef]
Lee, H. P. , 1995, “ Dynamic Response of a Rotating Timoshenko Shaft Subject to Axial Forces and Moving Loads,” J. Sound Vib., 181(1), pp. 169–177. [CrossRef]
Yim, K. B. , and Ryu, B. , 2011, “ Effect of Load Torque on the Stability of Overhung Rotors,” J. Mech. Sci. Technol., 25(3), pp. 589–595. [CrossRef]
Yang, B. , and Tan, C. A. , 1992, “ Transfer Functions of One-Dimensional Distributed Parameter Systems,” ASME J. Appl. Mech., 59(4), pp. 1009–1014. [CrossRef]
Yang, B. , 1994, “ Distributed Transfer Function Analysis of Complex Distributed Parameter Systems,” ASME J. Appl. Mech., 61(1), pp. 84–92. [CrossRef]
Yang, B. , and Fang, H. , 1994, “ Transfer Function Formulation of Non-Uniformly Distributed Parameter Systems,” ASME J. Vib. Acoust., 116(4), pp. 426–432. [CrossRef]
Tan, C. A. , and Kuang, W. , 1995, “ Vibration of a Rotating Discontinuous Shaft by the Distributed Transfer Function Method,” J. Sound Vib., 183(3), pp. 451–474. [CrossRef]
Fang, H. , and Yang, B. , 1998, “ Modeling, Synthesis and Dynamic Analysis of Complex Flexible Rotor System,” J. Sound Vib., 211(4), pp. 571–592. [CrossRef]
Flack, R. D. , and Rooke, J. H. , 1980, “ A Theoretical-Experimental Comparison of the Synchronous Response of a Bowed Rotor in Five Different Sets of Fluid Film Bearings,” J. Sound Vib., 73(4), pp. 505–517. [CrossRef]
Kalita, M. , and Kakoty, S. K. , 2004, “ Analysis of Whirl Speeds for Rotor-Bearing Systems Supported on Fluid Film Bearings,” Mech. Syst. Signal Process., 18(6), pp. 1369–1380. [CrossRef]
Feng, N. S. , and Hahn, E. J. , 2010, “ Vibration Characteristics of Hydrodynamic Fluid Film Pocket Journal Bearings,” Adv. Acoust. Vib., 2010, p. 589318.
Miranda, W. M. , and Faria, M. T. C. , 2012, “ Lateral Vibration Analysis of Flexible Shaft Supported on Elliptical Journal Bearings,” Tribol. Lett., 48(2), pp. 217–227. [CrossRef]
Chen, C. L. , and Yau, H. T. , 1998, “ Chaos in the Imbalance Response of a Flexible Rotor Supported by Oil Film Bearings With Non-Linear Suspension,” Nonlinear Dyn., 16(1), pp. 71–90. [CrossRef]
Ghaednia, H. , 2012, “ Vibration Behavior of Flexible Rotor System Mounted on MR Squeeze Film Damper With Thermal Growth Effect,” ASME J. Vib. Acoust., 134(1), p. 011015.
Liu, S. , and Yang, B. , 2015, “ A New Model of Water-Lubricated Rubber Bearings for Vibration Analysis of Flexible Multistage Rotor Systems,” J. Sound Vib., 349, pp. 230–258. [CrossRef]
Liu, S. , Yang, B. , Behnke, P. W. , and Ding, L. , 2013, “ Vertically-Suspended Pumps With Water-Lubricated Rubber Bearings—Experimental Identification of Dynamic Stiffness Coefficients,” 29th International Pump Users Symposium, Houston, TX, Oct. 1–3.
Liu, S. , and Yang, B. , 2014, “ Modeling and Analysis of Flexible Multistage Rotor Systems With Water-Lubricated Rubber Bearings,” ASME Paper No. IMECE2014-39841.
Yang, B. , 2008, “ A Distributed Transfer Function Method for Heat Conduction Problems in Multilayer Composites,” Numer. Heat Transfer, 54(4), pp. 314–337. [CrossRef]
Chen, C. T. , 1999, Linear System Theory and Design, Oxford University Press, New York.

Figures

Grahic Jump Location
Fig. 1

Schematic of a flexible multistage rotor-bearing system

Grahic Jump Location
Fig. 2

Basic elements of the rotor-bearing system

Grahic Jump Location
Fig. 3

A rigid disk at node i

Grahic Jump Location
Fig. 4

A short bearing at node i

Grahic Jump Location
Fig. 5

A distributed model of WLRB

Grahic Jump Location
Fig. 6

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

Grahic Jump Location
Fig. 7

A uniform shaft with a rigid disk

Grahic Jump Location
Fig. 8

A multistage rotor system with long WLRBs

Grahic Jump Location
Fig. 9

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

Grahic Jump Location
Fig. 10

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

Grahic Jump Location
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

Grahic Jump Location
Fig. 12

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

Grahic Jump Location
Fig. 13

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

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In