Skip to main content
Top
Published in: Archive of Applied Mechanics 9/2016

19-04-2016 | Original

Vibration analysis of coupled bending-torsional rotor-bearing system for hydraulic generating set with rub-impact under electromagnetic excitation

Authors: Leike Zhang, Zhenyue Ma, Qianqian Wu, Xueni Wang

Published in: Archive of Applied Mechanics | Issue 9/2016

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Based on Jeffcott rotor model, the coupled bending-torsional rotor-bearing system with rub-impact under electromagnetic excitation for hydraulic generating set is established and the corresponding equation is given. The influence of excitation current, mass eccentricity and electromagnetic torque in the system is investigated by taking use of numerical method. The simulation results show that eccentricity is the crucial factor causing the changes of system dynamic characteristics, compared to the effect of torsional degree of freedom. And the larger the eccentricity is, the more obviously it affects the system responses. While the complicated dynamic behavior of bending vibration response can be restrained, due to the introduction of torsion motion, which has the property to suppress complex dynamic response of system, particularly, the inhibited and improved effect is more evident, as the eccentricity turns to be smaller. In addition, the unstable jumping phenomena of torsional response can be motivated by electromagnetic torque, which has to be taken seriously during the process of model establishment and dynamic analysis of system. From the global view of electromechanical coupling characteristics, the coupled bending-torsional vibration model with rub-impact under electromagnetic excitation can supply a more comprehensive reflection about the dynamic characteristics of system and provide useful reference with system state recognition and fault diagnosis.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Beatty, R.F.: Differentiating rotor response due to radial rubbing. J. Vib. Acoust. Stress Reliab. Des. 107(2), 151–160 (1985)CrossRef Beatty, R.F.: Differentiating rotor response due to radial rubbing. J. Vib. Acoust. Stress Reliab. Des. 107(2), 151–160 (1985)CrossRef
2.
go back to reference Chu, F., Zhang, Z.: Bifurcation and chaos in a rub-impact Jeffcott rotor system. J. Sound Vib. 210(1), 1–18 (1998)CrossRef Chu, F., Zhang, Z.: Bifurcation and chaos in a rub-impact Jeffcott rotor system. J. Sound Vib. 210(1), 1–18 (1998)CrossRef
3.
go back to reference Feng, Z.C., Zhang, X.Z.: Rubbing phenomena in rotor–stator contact. Chaos Solitons Fractals 14(2), 257–267 (2002)CrossRefMATH Feng, Z.C., Zhang, X.Z.: Rubbing phenomena in rotor–stator contact. Chaos Solitons Fractals 14(2), 257–267 (2002)CrossRefMATH
4.
go back to reference Zhang, W., Meng, G.: Stability, bifurcation and chaos of a high-speed rub-impact rotor system in MEMS. Sens. Actuators A 127(1), 163–178 (2006)MathSciNetCrossRef Zhang, W., Meng, G.: Stability, bifurcation and chaos of a high-speed rub-impact rotor system in MEMS. Sens. Actuators A 127(1), 163–178 (2006)MathSciNetCrossRef
5.
go back to reference Shen, X., Jia, J., Zhao, M.: Numerical analysis of a rub-impact rotor-bearing system with mass unbalance. J. Vib. Control 13(12), 1819–1834 (2007)CrossRefMATH Shen, X., Jia, J., Zhao, M.: Numerical analysis of a rub-impact rotor-bearing system with mass unbalance. J. Vib. Control 13(12), 1819–1834 (2007)CrossRefMATH
6.
go back to reference Chang-Jian, C., Chen, C.: Chaos of rub-impact rotor supported by bearings with nonlinear suspension. Tribol. Int. 42(3), 426–439 (2009)CrossRef Chang-Jian, C., Chen, C.: Chaos of rub-impact rotor supported by bearings with nonlinear suspension. Tribol. Int. 42(3), 426–439 (2009)CrossRef
7.
go back to reference Cao, J., Ma, C., Jiang, Z., et al.: Nonlinear dynamic analysis of fractional order rub-impact rotor system. Commun. Nonlinear Sci. Numer. Simul. 16(3), 1443–1463 (2011)CrossRef Cao, J., Ma, C., Jiang, Z., et al.: Nonlinear dynamic analysis of fractional order rub-impact rotor system. Commun. Nonlinear Sci. Numer. Simul. 16(3), 1443–1463 (2011)CrossRef
8.
go back to reference Litak, G., Sawicki, J.T.: Regular and chaotic vibrations in the rub impact model of a Jeffcott rotor with a fractional restore force. Eur. Phys. J. Appl. Phys. 64(3), 93–96 (2013)CrossRef Litak, G., Sawicki, J.T.: Regular and chaotic vibrations in the rub impact model of a Jeffcott rotor with a fractional restore force. Eur. Phys. J. Appl. Phys. 64(3), 93–96 (2013)CrossRef
9.
go back to reference Varney, P., Green, I.: Nonlinear phenomena, bifurcations, and routes to chaos in an asymmetrically supported rotor-stator contact system. J. Sound Vib. 336(3), 207–226 (2015)CrossRef Varney, P., Green, I.: Nonlinear phenomena, bifurcations, and routes to chaos in an asymmetrically supported rotor-stator contact system. J. Sound Vib. 336(3), 207–226 (2015)CrossRef
10.
go back to reference Piccoli, H.C., Weber, H.I.: Experimental observation of chaotic motion in a rotor with rubbing. Nonlinear Dyn. 16(1), 55–70 (1998)CrossRefMATH Piccoli, H.C., Weber, H.I.: Experimental observation of chaotic motion in a rotor with rubbing. Nonlinear Dyn. 16(1), 55–70 (1998)CrossRefMATH
11.
go back to reference An, X., Zhou, J., Xiang, X., et al.: Dynamic response of a rub-impact rotor system under axial thrust. Arch. Appl. Mech. 79(11), 1009–1018 (2009)CrossRefMATH An, X., Zhou, J., Xiang, X., et al.: Dynamic response of a rub-impact rotor system under axial thrust. Arch. Appl. Mech. 79(11), 1009–1018 (2009)CrossRefMATH
12.
go back to reference Gustavsson, R.K., Aidanpää, J.O.: Evaluation of impact dynamics and contact forces in a hydropower rotor due to variations in damping and lateral fluid forces. Int. J. Mech. Sci. 51(9–10), 653–661 (2009)CrossRef Gustavsson, R.K., Aidanpää, J.O.: Evaluation of impact dynamics and contact forces in a hydropower rotor due to variations in damping and lateral fluid forces. Int. J. Mech. Sci. 51(9–10), 653–661 (2009)CrossRef
13.
go back to reference Huang, Z., Zhou, J., Yang, M., et al.: Vibration characteristics of a hydraulic generator unit rotor system with parallel misalignment and rub-impact. Arch. Appl. Mech. 81(7), 829–838 (2011)CrossRefMATH Huang, Z., Zhou, J., Yang, M., et al.: Vibration characteristics of a hydraulic generator unit rotor system with parallel misalignment and rub-impact. Arch. Appl. Mech. 81(7), 829–838 (2011)CrossRefMATH
14.
go back to reference Zhang, L., Ma, Z., Song, B.: Dynamic characteristics of a rub-impact rotor-bearing system for hydraulic generating set under unbalanced magnetic pull. Arch. Appl. Mech. 83(6), 817–830 (2013)CrossRefMATH Zhang, L., Ma, Z., Song, B.: Dynamic characteristics of a rub-impact rotor-bearing system for hydraulic generating set under unbalanced magnetic pull. Arch. Appl. Mech. 83(6), 817–830 (2013)CrossRefMATH
15.
go back to reference Ahmad, S.: Rotor casing contact phenomenon in rotor dynamics—literature survey. J. Vib. Control 16(9), 1369–1377 (2010)CrossRef Ahmad, S.: Rotor casing contact phenomenon in rotor dynamics—literature survey. J. Vib. Control 16(9), 1369–1377 (2010)CrossRef
16.
go back to reference Edwards, S., Lees, A.W., Friswell, M.I.: The influence of torsion on rotor/stator contact in rotating machinery. J. Sound Vib. 225(4), 767–778 (1999)CrossRef Edwards, S., Lees, A.W., Friswell, M.I.: The influence of torsion on rotor/stator contact in rotating machinery. J. Sound Vib. 225(4), 767–778 (1999)CrossRef
17.
go back to reference Al-Bedoor, B.O.: Transient torsional and lateral vibrations of unbalanced rotors with rotor-to-stator rubbing. J. Sound Vib. 229(3), 627–645 (2000)CrossRef Al-Bedoor, B.O.: Transient torsional and lateral vibrations of unbalanced rotors with rotor-to-stator rubbing. J. Sound Vib. 229(3), 627–645 (2000)CrossRef
18.
go back to reference Sun, Z., Xu, J., Zhou, T., et al.: Study on influence of bending-torsion coupling in an impacting-rub rotor system. Appl. Math. Mech. 24(11), 1316–1323 (2003)CrossRef Sun, Z., Xu, J., Zhou, T., et al.: Study on influence of bending-torsion coupling in an impacting-rub rotor system. Appl. Math. Mech. 24(11), 1316–1323 (2003)CrossRef
19.
go back to reference Yuan, Z., Wang, S., Yue, X., et al.: Dynamic analysis of rotor’s radial rub-impact in full degrees of freedom accounting for turborotor’s non-linear clearance-excitation force. P. I. Mech. Eng. C J. Mech. 222(9), 1647–1653 (2008)CrossRef Yuan, Z., Wang, S., Yue, X., et al.: Dynamic analysis of rotor’s radial rub-impact in full degrees of freedom accounting for turborotor’s non-linear clearance-excitation force. P. I. Mech. Eng. C J. Mech. 222(9), 1647–1653 (2008)CrossRef
20.
go back to reference Patel, T.H., Zuo, M.J., Zhao, X.: Nonlinear lateral-torsional coupled motion of a rotor contacting a viscoelastically suspended stator. Nonlinear Dyn. 69(1–2), 325–339 (2012)CrossRef Patel, T.H., Zuo, M.J., Zhao, X.: Nonlinear lateral-torsional coupled motion of a rotor contacting a viscoelastically suspended stator. Nonlinear Dyn. 69(1–2), 325–339 (2012)CrossRef
21.
go back to reference Khanlo, H.M., Ghayour, M., Ziaei-Rad, S.: The effects of lateral-torsional coupling on the nonlinear dynamic behavior of a rotating continuous flexible shaft-disk system with rub-impact. Commun. Nonlinear Sci. Numer. Simul. 18(6), 1524–1538 (2013)MathSciNetCrossRefMATH Khanlo, H.M., Ghayour, M., Ziaei-Rad, S.: The effects of lateral-torsional coupling on the nonlinear dynamic behavior of a rotating continuous flexible shaft-disk system with rub-impact. Commun. Nonlinear Sci. Numer. Simul. 18(6), 1524–1538 (2013)MathSciNetCrossRefMATH
22.
go back to reference Hua, C.L., Ta, N., Rao, Z.S.: Influence of damping ratio on coupled bending and torsion vibrations of rotor system under rub-impact. J. Vib. Shock 33(13), 19–25 (2014) Hua, C.L., Ta, N., Rao, Z.S.: Influence of damping ratio on coupled bending and torsion vibrations of rotor system under rub-impact. J. Vib. Shock 33(13), 19–25 (2014)
23.
24.
go back to reference Cameron, J.R., Thomson, W.T., Dow, A.B.: Vibration and current monitoring for detecting airgap eccentricity in large induction motors. IEE Proc. B Electr. Power Appl. 133(3), 155–163 (1986)CrossRef Cameron, J.R., Thomson, W.T., Dow, A.B.: Vibration and current monitoring for detecting airgap eccentricity in large induction motors. IEE Proc. B Electr. Power Appl. 133(3), 155–163 (1986)CrossRef
25.
go back to reference Xu, J.Y., Liu, J.P., Song, Y.M., et al.: Torsional vibration analysis of hydrogenerators considering electromagnetic excitation. J. Tianjin Univ. 41(12), 1411–1416 (2008) Xu, J.Y., Liu, J.P., Song, Y.M., et al.: Torsional vibration analysis of hydrogenerators considering electromagnetic excitation. J. Tianjin Univ. 41(12), 1411–1416 (2008)
26.
go back to reference Yang, Z.A., Li, W.L., Qiu, J.J.: Lateral and torsional coupling vibration excited by electromagnetism of turbogenerator set rotor system. J. Tianjin Univ. 41(5), 583–588 (2008) Yang, Z.A., Li, W.L., Qiu, J.J.: Lateral and torsional coupling vibration excited by electromagnetism of turbogenerator set rotor system. J. Tianjin Univ. 41(5), 583–588 (2008)
27.
go back to reference Song, Z.Q., Ma, Z.Y.: Analysis on torsional vibrations of hydro generator shaft system considering hydraulic and electromagnetic excitations. J. Hydroelectr. Eng. 31(3), 240–245 (2012) Song, Z.Q., Ma, Z.Y.: Analysis on torsional vibrations of hydro generator shaft system considering hydraulic and electromagnetic excitations. J. Hydroelectr. Eng. 31(3), 240–245 (2012)
28.
go back to reference Song, Z.Q., Liu, Y.H.: Investigation of bending-torsional coupled vibration of hydro generators rotor-bearing system considering electromagnetic stiffness. J. Hydroelectr. Eng. 33(6), 224–231 (2014) Song, Z.Q., Liu, Y.H.: Investigation of bending-torsional coupled vibration of hydro generators rotor-bearing system considering electromagnetic stiffness. J. Hydroelectr. Eng. 33(6), 224–231 (2014)
29.
go back to reference Ma, Z.Y., Dong, Y.X.: Dynamics of Water Turbine Generator Set. Dalian University of Technology Press, Dalian (2003) Ma, Z.Y., Dong, Y.X.: Dynamics of Water Turbine Generator Set. Dalian University of Technology Press, Dalian (2003)
30.
go back to reference Guo, D., Chu, F., Chen, D.: The unbalanced magnetic pull and its effects on vibration in a three-phase generator with eccentric rotor. J. Sound Vib. 254(2), 297–312 (2002)CrossRef Guo, D., Chu, F., Chen, D.: The unbalanced magnetic pull and its effects on vibration in a three-phase generator with eccentric rotor. J. Sound Vib. 254(2), 297–312 (2002)CrossRef
31.
go back to reference Jordan, H., Schroeder, R.D., Seinsch, H.O.: Zur Berechnung einseitigmagnetischer Zugkräfte in Drehfeldmaschienen. Archiv Fur Elektrotechnik 63(2), 117–124 (1981)CrossRef Jordan, H., Schroeder, R.D., Seinsch, H.O.: Zur Berechnung einseitigmagnetischer Zugkräfte in Drehfeldmaschienen. Archiv Fur Elektrotechnik 63(2), 117–124 (1981)CrossRef
32.
go back to reference Qiu, J.J.: Analytical Dynamics of Electromechanical Systems. Science Press, Beijing (1992) Qiu, J.J.: Analytical Dynamics of Electromechanical Systems. Science Press, Beijing (1992)
33.
go back to reference Adiletta, G., Guido, A.R., Rossi, C.: Chaotic motions of a rigid rotor in short journal bearings. Nonlinear Dyn. 10(3), 251–269 (1996)CrossRef Adiletta, G., Guido, A.R., Rossi, C.: Chaotic motions of a rigid rotor in short journal bearings. Nonlinear Dyn. 10(3), 251–269 (1996)CrossRef
34.
go back to reference Pollock, G.B., Lyles, J.F.: Vertical hydraulic generators experience with dynamic air gap monitoring. IEEE Trans. Energy Convers. 7(4), 660–668 (1992)CrossRef Pollock, G.B., Lyles, J.F.: Vertical hydraulic generators experience with dynamic air gap monitoring. IEEE Trans. Energy Convers. 7(4), 660–668 (1992)CrossRef
35.
go back to reference Weng, Y.G.: Rectification of rotor eccentricity for hydrogenerator. Large Electr. Mach. Hydraul. Turbine 1, 4–7 (1999) Weng, Y.G.: Rectification of rotor eccentricity for hydrogenerator. Large Electr. Mach. Hydraul. Turbine 1, 4–7 (1999)
36.
go back to reference Hsieh, S., Chen, J., Lee, A.: A modified transfer matrix method for the coupling lateral and torsional vibrations of symmetric rotor-bearing systems. J. Sound Vib. 289(1–2), 294–333 (2006)CrossRef Hsieh, S., Chen, J., Lee, A.: A modified transfer matrix method for the coupling lateral and torsional vibrations of symmetric rotor-bearing systems. J. Sound Vib. 289(1–2), 294–333 (2006)CrossRef
37.
go back to reference Mihajlović, N., van de Wouw, N., Rosielle, P.C.J.N., et al.: Interaction between torsional and lateral vibrations in flexible rotor systems with discontinuous friction. Nonlinear Dyn. 50(3), 679–699 (2007)CrossRefMATH Mihajlović, N., van de Wouw, N., Rosielle, P.C.J.N., et al.: Interaction between torsional and lateral vibrations in flexible rotor systems with discontinuous friction. Nonlinear Dyn. 50(3), 679–699 (2007)CrossRefMATH
38.
go back to reference Yuan, Z., Chu, F., Lin, Y.: External and internal coupling effects of rotor’s bending and torsional vibrations under unbalances. J. Sound Vib. 299(1–2), 339–347 (2007)CrossRef Yuan, Z., Chu, F., Lin, Y.: External and internal coupling effects of rotor’s bending and torsional vibrations under unbalances. J. Sound Vib. 299(1–2), 339–347 (2007)CrossRef
39.
go back to reference Shen, X.Y., Jia, J.H., Zhao, M., et al.: Coupled torsional-lateral vibration of the unbalanced rotor system with external excitations. J. Strain Anal. Eng. Des. 42(6), 423–431 (2007)CrossRef Shen, X.Y., Jia, J.H., Zhao, M., et al.: Coupled torsional-lateral vibration of the unbalanced rotor system with external excitations. J. Strain Anal. Eng. Des. 42(6), 423–431 (2007)CrossRef
40.
go back to reference Wang, S., Guo, W., Xu, X., et al.: Modeling unbalanced rotor system with continuous viscoelastic shaft by frequency-dependent shape function. J. Cent. South Univ. 20(12), 3421–3430 (2013)CrossRef Wang, S., Guo, W., Xu, X., et al.: Modeling unbalanced rotor system with continuous viscoelastic shaft by frequency-dependent shape function. J. Cent. South Univ. 20(12), 3421–3430 (2013)CrossRef
41.
go back to reference Cao, J., Allaire, P., Dimond, T.: Coupled lateral and torsional nonlinear transient rotor-bearing system analysis with applications. J. Dyn. Syst. Meas. Contr. 137(9), 091011–091011-9 (2015)CrossRef Cao, J., Allaire, P., Dimond, T.: Coupled lateral and torsional nonlinear transient rotor-bearing system analysis with applications. J. Dyn. Syst. Meas. Contr. 137(9), 091011–091011-9 (2015)CrossRef
42.
go back to reference Negru, R., Muntean, S., Pasca, N., et al.: Failure assessment of the shaft of a pumped storage unit. Fatigue Fract. Eng. Mater. Struct. 37(7), 807–820 (2014)CrossRef Negru, R., Muntean, S., Pasca, N., et al.: Failure assessment of the shaft of a pumped storage unit. Fatigue Fract. Eng. Mater. Struct. 37(7), 807–820 (2014)CrossRef
Metadata
Title
Vibration analysis of coupled bending-torsional rotor-bearing system for hydraulic generating set with rub-impact under electromagnetic excitation
Authors
Leike Zhang
Zhenyue Ma
Qianqian Wu
Xueni Wang
Publication date
19-04-2016
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 9/2016
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-016-1142-8

Other articles of this Issue 9/2016

Archive of Applied Mechanics 9/2016 Go to the issue

Premium Partners