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Volumn 78, Issue 4, 2014, Pages 2501-2515

Quasi-periodic harmonic balance method for rubbing self-induced vibrations in rotor–stator dynamics

Author keywords

Automatic harmonic selection; Nonlinear rotordynamics; Quasi periodic harmonic balance method; Rotor stator contact; Self induced excitation

Indexed keywords

ALGORITHMS; NATURAL FREQUENCIES; STATORS; VIBRATIONS (MECHANICAL);

EID: 84957727435     PISSN: 0924090X     EISSN: 1573269X     Source Type: Journal    
DOI: 10.1007/s11071-014-1606-8     Document Type: Article
Times cited : (71)

References (36)
  • 2
    • 0001665382 scopus 로고    scopus 로고
    • The influence of torsion on rotor/stator contact in rotating machinery
    • 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)
    • (1999) J. Sound Vib. , vol.225 , Issue.4 , pp. 767-778
    • Edwards, S.1    Lees, A.W.2    Friswell, M.I.3
  • 3
    • 0036680921 scopus 로고    scopus 로고
    • Rubbing phenomena in rotor–stator contact
    • Feng, Z., Zhang, X.Z.: Rubbing phenomena in rotor–stator contact. Chaos, Solitons Fract. 14(2), 257–267 (2002)
    • (2002) Chaos, Solitons Fract. , vol.14 , Issue.2 , pp. 257-267
    • Feng, Z.1    Zhang, X.Z.2
  • 4
    • 34748894943 scopus 로고    scopus 로고
    • Nonlinear dynamics of a rotor contacting an elastically suspended stator
    • Popprath, S., Ecker, H.: Nonlinear dynamics of a rotor contacting an elastically suspended stator. J. Sound Vib. 308(3–5), 767–784 (2007)
    • (2007) J. Sound Vib. , vol.308 , Issue.3-5 , pp. 767-784
    • Popprath, S.1    Ecker, H.2
  • 5
    • 55649098199 scopus 로고    scopus 로고
    • Periodic motions of a dual-disc rotor system with rub-impact at fixed limiter
    • Han, Q., Zhang, Z., Wen, B.: Periodic motions of a dual-disc rotor system with rub-impact at fixed limiter. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 222(10), 1935–1946 (2008)
    • (2008) Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. , vol.222 , Issue.10 , pp. 1935-1946
    • Han, Q.1    Zhang, Z.2    Wen, B.3
  • 6
    • 70349223888 scopus 로고    scopus 로고
    • Dynamic response of a rub-impact rotor system under axial thrust
    • An, X., Zhou, J., Xiang, X., Li, C., Luo, Z.: Dynamic response of a rub-impact rotor system under axial thrust. Arch. Appl. Mech. 79(11), 1009–1018 (2009)
    • (2009) Arch. Appl. Mech. , vol.79 , Issue.11 , pp. 1009-1018
    • An, X.1    Zhou, J.2    Xiang, X.3    Li, C.4    Luo, Z.5
  • 7
    • 29344434864 scopus 로고    scopus 로고
    • Overcritical high-speed rotor systems, full annular rub and accident
    • Grapis, O., Tamuzs, V., Ohlson, N.G., Andersons, J.: Overcritical high-speed rotor systems, full annular rub and accident. J. Sound Vib. 290(3–5), 910–927 (2006)
    • (2006) J. Sound Vib. , vol.290 , Issue.3-5 , pp. 910-927
    • Grapis, O.1    Tamuzs, V.2    Ohlson, N.G.3    Andersons, J.4
  • 9
    • 0141727703 scopus 로고    scopus 로고
    • Nonlinear responses of a rub-impact overhung rotor
    • Qin, W., Chen, Q., Meng, G.: Nonlinear responses of a rub-impact overhung rotor. Chaos, Solitons Fractals 19(5), 1161–1172 (2004)
    • (2004) Chaos, Solitons Fractals , vol.19 , Issue.5 , pp. 1161-1172
    • Qin, W.1    Chen, Q.2    Meng, G.3
  • 10
    • 0035279864 scopus 로고    scopus 로고
    • Stability analysis of sliding whirl in a nonlinear jeffcott rotor with cross-coupling stiffness coefficients
    • Jiang, J., Ulbrich, H.: Stability analysis of sliding whirl in a nonlinear jeffcott rotor with cross-coupling stiffness coefficients. Nonlinear Dyn. 24(3), 269–283 (2001)
    • (2001) Nonlinear Dyn. , vol.24 , Issue.3 , pp. 269-283
    • Jiang, J.1    Ulbrich, H.2
  • 11
    • 68249152443 scopus 로고    scopus 로고
    • Determination of the global responses characteristics of a piecewise smooth dynamical system with contact
    • Jiang, J.: Determination of the global responses characteristics of a piecewise smooth dynamical system with contact. Nonlinear Dyn. 57(3), 351–361 (2009)
    • (2009) Nonlinear Dyn. , vol.57 , Issue.3 , pp. 351-361
    • Jiang, J.1
  • 12
    • 52449100905 scopus 로고    scopus 로고
    • Full annular rub in mechanical seals, part ii: analytical study
    • Bently, D., Goldman, P., Yu, J.: Full annular rub in mechanical seals, part ii: analytical study. Int. J. Rotating Mach. 8(5), 329–336 (2002)
    • (2002) Int. J. Rotating Mach. , vol.8 , Issue.5 , pp. 329-336
    • Bently, D.1    Goldman, P.2    Yu, J.3
  • 13
    • 35348984865 scopus 로고    scopus 로고
    • Prediction of dry-friction whirl and whip between a rotor and a stator
    • Childs, D., Bhattacharya, A.: Prediction of dry-friction whirl and whip between a rotor and a stator. J. Vib. Acoust. 129(3), 355–362 (2007)
    • (2007) J. Vib. Acoust. , vol.129 , Issue.3 , pp. 355-362
    • Childs, D.1    Bhattacharya, A.2
  • 14
    • 0032117342 scopus 로고    scopus 로고
    • An algorithm for response and stability of large order non-linear systems—application to rotor systems
    • Sundararajan, P., Noah, S.: An algorithm for response and stability of large order non-linear systems—application to rotor systems. J. Sound Vib. 214(4), 695–723 (1998)
    • (1998) J. Sound Vib. , vol.214 , Issue.4 , pp. 695-723
    • Sundararajan, P.1    Noah, S.2
  • 15
    • 0020936281 scopus 로고
    • Incremental harmonic balance method with multiple time scales for aperiodic vibration of nonlinear systems
    • Lau, S., Cheung, Y., Wu, S.: Incremental harmonic balance method with multiple time scales for aperiodic vibration of nonlinear systems. J. Appl. Mech. 50(4), 871–876 (1983)
    • (1983) J. Appl. Mech. , vol.50 , Issue.4 , pp. 871-876
    • Lau, S.1    Cheung, Y.2    Wu, S.3
  • 16
    • 44849139803 scopus 로고    scopus 로고
    • Modèles de prédiction de l’intéraction rotor/stator dans un moteur d’avion. Ph.D. Thesis
    • Legrand, M.: Modèles de prédiction de l’intéraction rotor/stator dans un moteur d’avion. Ph.D. Thesis, École Centrale de Nantes (2005)
    • (2005) École Centrale de Nantes
    • Legrand, M.1
  • 17
    • 84881126607 scopus 로고    scopus 로고
    • (Formula presented.)-Dimensional harmonic balance method extended to non-explicit nonlinearities
    • Legrand, M., Roques, S., Pierre, C., Peseux, B., Cartraud, P.: (Formula presented.)-Dimensional harmonic balance method extended to non-explicit nonlinearities. Rev. Eur. Mec. Num. 15, 269–280 (2006)
    • (2006) Rev. Eur. Mec. Num. , vol.15 , pp. 269-280
    • Legrand, M.1    Roques, S.2    Pierre, C.3    Peseux, B.4    Cartraud, P.5
  • 18
    • 70349871406 scopus 로고    scopus 로고
    • Periodic and quasi-periodic solutions for multi-instabilities involved in brake squeal
    • Coudeyras, N., Nacivet, S., Sinou, J.J.: Periodic and quasi-periodic solutions for multi-instabilities involved in brake squeal. J. Sound Vib. 328(4–5), 520–540 (2009)
    • (2009) J. Sound Vib. , vol.328 , Issue.4-5 , pp. 520-540
    • Coudeyras, N.1    Nacivet, S.2    Sinou, J.J.3
  • 19
    • 63549092696 scopus 로고    scopus 로고
    • Complex non-linear modal analysis for mechanical systems: application to turbomachinery bladings with friction interfaces
    • Laxalde, D., Thouverez, F.: Complex non-linear modal analysis for mechanical systems: application to turbomachinery bladings with friction interfaces. J. Sound Vib. 322(4–5), 1009–1025 (2009)
    • (2009) J. Sound Vib. , vol.322 , Issue.4-5 , pp. 1009-1025
    • Laxalde, D.1    Thouverez, F.2
  • 20
    • 51749123733 scopus 로고    scopus 로고
    • Multi-dimensional harmonic balance applied to rotor dynamics
    • Guskov, M., Sinou, J.J., Thouverez, F.: Multi-dimensional harmonic balance applied to rotor dynamics. Mech. Res. Commun. 35(8), 537–545 (2008)
    • (2008) Mech. Res. Commun. , vol.35 , Issue.8 , pp. 537-545
    • Guskov, M.1    Sinou, J.J.2    Thouverez, F.3
  • 22
    • 84957727571 scopus 로고    scopus 로고
    • EDF R&D, Code\_aster: A general code for structural dynamics simulation under gnu gpl licence. (2001
    • EDF R&D, Code\_aster: A general code for structural dynamics simulation under gnu gpl licence. http://www.code-aster.org (2001)
  • 23
    • 84957727572 scopus 로고    scopus 로고
    • Jones, E.,Oliphant, T., Peterson, P., et al.: Scipy: Open source scientific tools for Python. (2001
    • Jones, E.,Oliphant, T., Peterson, P., et al.: Scipy: Open source scientific tools for Python. http://www.scipy.org/scipylib/citing.html (2001)
  • 24
    • 0037978988 scopus 로고    scopus 로고
    • Analytical formulation of friction interface elements for analysis of nonlinear multi-harmonic vibrations of bladed disks
    • Petrov, E., Ewins, D.: Analytical formulation of friction interface elements for analysis of nonlinear multi-harmonic vibrations of bladed disks. J. Turbomach. 125(2), 364–371 (2003)
    • (2003) J. Turbomach. , vol.125 , Issue.2 , pp. 364-371
    • Petrov, E.1    Ewins, D.2
  • 25
    • 0024620165 scopus 로고
    • An alternating frequency/time domain method for calculating the steady-state response of nonlinear dynamic systems
    • Cameron, T., Griffin, J.: An alternating frequency/time domain method for calculating the steady-state response of nonlinear dynamic systems. J. Appl. Mech. 56(1), 149–154 (1989)
    • (1989) J. Appl. Mech. , vol.56 , Issue.1 , pp. 149-154
    • Cameron, T.1    Griffin, J.2
  • 26
    • 84880702302 scopus 로고    scopus 로고
    • A comparison of stability computational methods for periodic solution of nonlinear problems with application to rotordynamics
    • Peletan, L., Baguet, S., Torkhani, M., Jacquet-Richardet, G.: A comparison of stability computational methods for periodic solution of nonlinear problems with application to rotordynamics. Nonlinear Dyn. 72(3), 671–682 (2013)
    • (2013) Nonlinear Dyn. , vol.72 , Issue.3 , pp. 671-682
    • Peletan, L.1    Baguet, S.2    Torkhani, M.3    Jacquet-Richardet, G.4
  • 28
    • 84892356236 scopus 로고    scopus 로고
    • Lecture notes on numerical analysis of nonlinear equations
    • Krauskopf B, Osinga H, Galan-Vioque J, (eds), Springer, The Netherland
    • Doedel, E.: Lecture notes on numerical analysis of nonlinear equations. In: Krauskopf, B., Osinga, H., Galan-Vioque, J. (eds.) Numerical Continuation Methods for Dynamical Systems, pp. 1–49. Springer, The Netherlands (2007)
    • (2007) Numerical Continuation Methods for Dynamical Systems , pp. 1-49
    • Doedel, E.1
  • 29
    • 0019621171 scopus 로고
    • Algorithms for computing almost periodic steady state response of non-linear systems to multiple input frequencies
    • Chua, L., Ushida, A.: Algorithms for computing almost periodic steady state response of non-linear systems to multiple input frequencies. IEEE Trans. Circuits Syst. 28, 953–971 (1981)
    • (1981) IEEE Trans. Circuits Syst. , vol.28 , pp. 953-971
    • Chua, L.1    Ushida, A.2
  • 30
    • 0031331546 scopus 로고    scopus 로고
    • A multiple harmonic balance method for the internal resonant vibration of a non-linear jeffcott rotor
    • Kim, Y.B., Choi, S.K.: A multiple harmonic balance method for the internal resonant vibration of a non-linear jeffcott rotor. J. Sound Vib. 208(5), 745–761 (1997)
    • (1997) J. Sound Vib. , vol.208 , Issue.5 , pp. 745-761
    • Kim, Y.B.1    Choi, S.K.2
  • 31
    • 77953770948 scopus 로고    scopus 로고
    • Etude d’amortisseurs non-linéaires appliqués aux roues aubagées et aux systèmes multi-étages. Ph.D. Thesis
    • Laxalde, D.: Etude d’amortisseurs non-linéaires appliqués aux roues aubagées et aux systèmes multi-étages. Ph.D. Thesis, École Centrale Lyon (2007)
    • (2007) École Centrale Lyon
    • Laxalde, D.1
  • 32
    • 77955684254 scopus 로고    scopus 로고
    • An adaptive harmonic balance method for predicting the nonlinear dynamic responses of mechanical systems-application to bolted structures
    • Jaumouille, S., Sinou, J., Petitjean, B.: An adaptive harmonic balance method for predicting the nonlinear dynamic responses of mechanical systems-application to bolted structures. J. Sound Vib. 329, 4048–4067 (2010)
    • (2010) J. Sound Vib , vol.329 , pp. 4048-4067
    • Jaumouille, S.1    Sinou, J.2    Petitjean, B.3
  • 33
    • 84860223538 scopus 로고    scopus 로고
    • On a new harmonic selection technique for harmonic balance method
    • Grolet, A., Thouverez, F.: On a new harmonic selection technique for harmonic balance method. Mech. Syst. Signal Process. 30, 43–60 (2012)
    • (2012) Mech. Syst. Signal Process. , vol.30 , pp. 43-60
    • Grolet, A.1    Thouverez, F.2
  • 34
    • 0038228324 scopus 로고    scopus 로고
    • Y.U., Govaerts, W. , Sandstede, B.: Numerical Continuation, and Computation of Normal Forms. Handbook of Dynamical Systems, vol. 2, chap. 4
    • Beyn, W., Champneys, A., Doedel, E., Kuznetsov, A., Y.U., Govaerts, W., Sandstede, B.: Numerical Continuation, and Computation of Normal Forms. Handbook of Dynamical Systems, vol. 2, chap. 4. Elsevier, Amsterdam, pp. 149–219 (2002)
    • (2002) Elsevier, Amsterdam , pp. 149-219
    • Beyn, W.1    Champneys, A.2    Doedel, E.3    Kuznetsov, A.4
  • 36
    • 84957727573 scopus 로고    scopus 로고
    • Stratégie de modélisation simplifiée et de résolution accélérée en dynamique non linéaire des machines tournantes. Application au contact rotor-stator. Ph.D. Thesis, INSA Lyon
    • Peletan, L.: Stratégie de modélisation simplifiée et de résolution accélérée en dynamique non linéaire des machines tournantes. Application au contact rotor-stator. Ph.D. Thesis, INSA Lyon, 2012-ISAL-0146 (2012)
    • (2012) 2012-ISAL-0146
    • Peletan, L.1


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