Skip to main content
SpringerLink
Log in

Characteristics of dry friction backward whirl—A self-excited oscillation in rotor-to-stator contact systems

  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

In this paper, the response characteristics of dry friction backward whirl of a general rotor/stator model, which accounts for both the dynamics of the rotor and the stator as well as the friction and the deformation at the contact surfaces, are investigated. The existence boundaries and the whirl frequencies of the dry friction backward whirl are determined analytically. It is found that there are two or three existence boundaries of the dry friction backward whirl that usually form two existence regions, either standing completely separately, or overlapping each other partly, or one containing the other completely, depending upon the system parameters. The whirl frequencies in the two existence regions are quite different and may jump between the lower and the higher values with the variation of the rotating speed. The results have been found to have good correspondence in the related rotor/stator rubbing experiments.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

A i :

real amplitudes of solution W fi , i=r, s

B i :

real amplitudes of natural modes, i=r, s

H i :

real amplitudes of solution W bi , i=r, s

R disk :

non-dimensional radius of the disk

W i :

complex deflections of rotor and stator, i=r, s

W bi :

solution part of backward whirl motion, i=r, s

W fi :

solution part of forward whirl motion, i=r, s

c i :

damping constants of rotor and stator, i=r, s

e :

rotor mass eccentricity

k i :

stiffness of rotor shaft and the stator, i=r, s

k c :

contact stiffness

m i :

mass of rotor and stator, i=r, s

r i :

complex deflections of rotor and stator, i=r, s

r disk :

radius of the disk

t :

time

x i , y i :

horizontal and vertical displacements, i=r, s

α :

real part of exponent of solution W bi , i=r, s

β sr :

stiffness ratio of rotor to stator, k s /k r

β cr :

normalized contact stiffness, k c /k r

δ :

clearance between rotor and stator

Δ :

non-dimensional clearance

ϕ :

phase difference between rotor and stator

μ :

friction coefficient

τ :

non-dimensional time

ω :

rotating speed of the rotor

ω 0 :

natural frequency of the rotor

ω a :

whirl frequency at α=0

ω b :

normalized backward whirl frequency, ω w/ω 0

ω n :

“natural” frequency of coupled nonlinear rotor/stator system

ω w :

whirl frequency of the rotor

Ω:

normalized rotating speed of the rotor, ω/ω 0

ξ i :

damping ratios of rotor and stator, i=r, s

References

  1. Baker J G. Self-induced vibration. ASME, J Appl Mech, 1933, 1: 5–12

    Google Scholar 

  2. Black H F. Interaction of a whirling rotor with a vibrating stator across a clearance annulus. Intl J Mech Eng Sci, 1968, 10: 1–12

    Article  Google Scholar 

  3. Muszynska A. Synchronous self-excited rotor vibration caused by a full annular rub. Machinery Dynamics 8th Seminar, Halifax, Nova Scotia, Canada, 1984

  4. Lingener A. Experimental investigation of reverse whirl of a flexible rotor. Transactions of IFToMM 3rd International Conference on Rotordynamics, Lyon, France, 1990. 13–18

  5. Wu F, Flowers G T. An experimental study of the influence of disk flexibility and rubbing on rotordynamics. ASME, Vib Rotat Syst, 1993, DE-Vol.60: 19–26

  6. Bently D E, Yu J J, Goldman P. Full annular rub in mechanical seals, Part I: Experimental results. Proc. of ISROMAC-8, Honolulu, Hawaii, USA, 2000

  7. Zhang W. Dynamic instability of multi-degree-of-freedom flexible rotor systems due to full annular rub. IMechE C252/88, 1998, 305–308

  8. Crandall S. From whirl to whip in Rrtordynamics. Transactions of IFToMM 3rd International Conference on Rotordynamics, Lyon, France, 1990. 19–26

  9. Bently D E, Goldman P, Yu J J. Full annular rub in mechanical seals, Part II: Analytical study. Proc. of ISROMAC-8, Honolulu, Hawaii, USA, 2000

  10. Jiang J, Ulbrich H. The physical reason and the analytical condition for the onset of dry whip in rotor-to-stator contact systems. ASME J Acoust Vib, 2004, 127: 594–603

    Article  Google Scholar 

  11. Jiang J. The analytical solution and existence condition of dry friction backward whirl in rotor-to-stator contact systems. ASME J Acoust Vib, 2007, 129: 260–264

    Article  Google Scholar 

  12. Choi Y S. Investigation on the whirling motion of full annular rotor rub. J Sound Vib, 2002, 258: 191–198

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. MOE Key Laboratory of Strength and Vibration, Xi’an Jiaotong University, Xi’an, 710049, China

    Jun Jiang, ZhiYong Shang & Ling Hong

Authors
  1. Jun Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. ZhiYong Shang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ling Hong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jun Jiang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jiang, J., Shang, Z. & Hong, L. Characteristics of dry friction backward whirl—A self-excited oscillation in rotor-to-stator contact systems. Sci. China Technol. Sci. 53, 674–683 (2010). https://doi.org/10.1007/s11431-010-0075-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-010-0075-7

Keywords

Search

Navigation