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Volumn 53, Issue 4, 2008, Pages 345-367

Nonlinear dynamics of idler gear systems

Author keywords

Gear noise; Nonlinear dynamics; Parametric excitation; Perturbation

Indexed keywords

ASYMPTOTIC STABILITY; DYNAMICS; GEAR TEETH; GEARS; INTEGRATION; ISOMERS; NONLINEAR SYSTEMS; NUMERICAL ANALYSIS; PERTURBATION TECHNIQUES; SEPARATION; SOLUTIONS; STIFFNESS;

EID: 49049108150     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-007-9317-z     Document Type: Article
Times cited : (78)

References (38)
  • 2
    • 0002623083 scopus 로고
    • Dynamic loads on the teeth of spur gears
    • S.L. Harris 1958 Dynamic loads on the teeth of spur gears Proc. Inst. Mech. Eng. 172 87 112
    • (1958) Proc. Inst. Mech. Eng. , vol.172 , pp. 87-112
    • Harris, S.L.1
  • 3
    • 0034293765 scopus 로고    scopus 로고
    • Nonlinear dynamic response of a spur gear pair: Modeling and experimental comparisons
    • 3
    • R.G. Parker S.M. Vijayakar T. Imajo 2000 Nonlinear dynamic response of a spur gear pair: modeling and experimental comparisons J. Sound Vib. 237 3 435 455
    • (2000) J. Sound Vib. , vol.237 , pp. 435-455
    • Parker, R.G.1    Vijayakar, S.M.2    Imajo, T.3
  • 4
    • 0022752982 scopus 로고
    • Torsional vibrations and dynamic loads in a basic planetary gear system
    • 3
    • R. August R. Kasuba 1986 Torsional vibrations and dynamic loads in a basic planetary gear system J. Vib. Acoust. Stress Reliab. Des. 108 3 348 353
    • (1986) J. Vib. Acoust. Stress Reliab. Des. , vol.108 , pp. 348-353
    • August, R.1    Kasuba, R.2
  • 5
    • 13644280523 scopus 로고    scopus 로고
    • Dynamic response of a planetary gear system using a finite element/contact mechanics model
    • R.G. Parker V. Agashe S.M. Vijayakar 2000 Dynamic response of a planetary gear system using a finite element/contact mechanics model J. Mech. Des. 122 305 311
    • (2000) J. Mech. Des. , vol.122 , pp. 305-311
    • Parker, R.G.1    Agashe, V.2    Vijayakar, S.M.3
  • 6
    • 0030104523 scopus 로고    scopus 로고
    • Dynamic response of planetary trains to mesh parametric excitations
    • P. Velex L. Flamand 1996 Dynamic response of planetary trains to mesh parametric excitations J. Mech. Des. 118 7 14
    • (1996) J. Mech. Des. , vol.118 , pp. 7-14
    • Velex, P.1    Flamand, L.2
  • 7
    • 0036400835 scopus 로고    scopus 로고
    • Mesh stiffness variation instabilities in two-stage gear systems
    • 1
    • J. Lin R.G. Parker 2002 Mesh stiffness variation instabilities in two-stage gear systems J. Vib. Acoust. 124 1 68 76
    • (2002) J. Vib. Acoust. , vol.124 , pp. 68-76
    • Lin, J.1    Parker, R.G.2
  • 8
    • 44849108207 scopus 로고    scopus 로고
    • Parametric instability of planetary gears under mesh stiffness variation
    • 4
    • J. Lin R.G. Parker 2002 Parametric instability of planetary gears under mesh stiffness variation J. Sound Vib. 29 4 411 429
    • (2002) J. Sound Vib. , vol.29 , pp. 411-429
    • Lin, J.1    Parker, R.G.2
  • 9
    • 0035821885 scopus 로고    scopus 로고
    • Analysis of periodically varying gear mesh systems with Coulomb friction using Floquet theory
    • 3
    • M. Vaishya R. Singh 2001 Analysis of periodically varying gear mesh systems with Coulomb friction using Floquet theory J. Sound Vib. 243 3 525 545
    • (2001) J. Sound Vib. , vol.243 , pp. 525-545
    • Vaishya, M.1    Singh, R.2
  • 10
    • 0001972105 scopus 로고
    • Nonlinear dynamics of a spur gear pair
    • 1
    • A. Kahraman R. Singh 1990 Nonlinear dynamics of a spur gear pair J. Sound Vib. 142 1 49 75
    • (1990) J. Sound Vib. , vol.142 , pp. 49-75
    • Kahraman, A.1    Singh, R.2
  • 12
    • 0000718955 scopus 로고    scopus 로고
    • Bifurcation and chaos in geared rotor bearing system by incremental harmonic balance method
    • 3
    • A. Raghothama S. Narayanan 1999 Bifurcation and chaos in geared rotor bearing system by incremental harmonic balance method J. Sound Vib. 226 3 469 492
    • (1999) J. Sound Vib. , vol.226 , pp. 469-492
    • Raghothama, A.1    Narayanan, S.2
  • 13
    • 0035480471 scopus 로고    scopus 로고
    • Periodic and chaotic dynamics of motor-driven gear-pair systems with backlash
    • S. Theodossiades S. Natsiavas 2001 Periodic and chaotic dynamics of motor-driven gear-pair systems with backlash Chaos Solitons Fractals 12 2427 2440
    • (2001) Chaos Solitons Fractals , vol.12 , pp. 2427-2440
    • Theodossiades, S.1    Natsiavas, S.2
  • 15
    • 0023981561 scopus 로고
    • Mathematical models used in gear dynamics-a review
    • 3
    • H.N. Ozguven D.R. Houser 1988 Mathematical models used in gear dynamics-a review J. Sound Vib. 121 3 383 411
    • (1988) J. Sound Vib. , vol.121 , pp. 383-411
    • Ozguven, H.N.1    Houser, D.R.2
  • 16
    • 0030129192 scopus 로고    scopus 로고
    • A mathematical model for analyzing the influence of shape deviations and mounting errors on gear dynamic behavior
    • 5
    • P. Velex M. Maatar 1996 A mathematical model for analyzing the influence of shape deviations and mounting errors on gear dynamic behavior J. Sound Vib. 191 5 629 660
    • (1996) J. Sound Vib. , vol.191 , pp. 629-660
    • Velex, P.1    Maatar, M.2
  • 18
    • 0022681560 scopus 로고
    • Vibration of three axes gear system
    • K. Umezawa T. Ajima H. Houjoh 1986 Vibration of three axes gear system Bull. JSME 29 950 957
    • (1986) Bull. JSME , vol.29 , pp. 950-957
    • Umezawa, K.1    Ajima, T.2    Houjoh, H.3
  • 19
    • 0003257707 scopus 로고
    • Instability potential of high speed gearing
    • J.G. Bollinger R.J. Harker 1967 Instability potential of high speed gearing J. Ind. Math. 17 39 55
    • (1967) J. Ind. Math. , vol.17 , pp. 39-55
    • Bollinger, J.G.1    Harker, R.J.2
  • 20
    • 0017526852 scopus 로고
    • Dynamic stability of a two-stage gear train under the influence of variable meshing stiffnesses
    • G.V. Tordion R. Gauvin 1977 Dynamic stability of a two-stage gear train under the influence of variable meshing stiffnesses ASME J. Eng. Ind. 99 785 791
    • (1977) ASME J. Eng. Ind. , vol.99 , pp. 785-791
    • Tordion, G.V.1    Gauvin, R.2
  • 21
    • 0019551635 scopus 로고
    • Factors influencing instability and resonances in geared systems
    • M. Benton A. Seireg 1981 Factors influencing instability and resonances in geared systems J. Mech. Des. 103 372 378
    • (1981) J. Mech. Des. , vol.103 , pp. 372-378
    • Benton, M.1    Seireg, A.2
  • 24
    • 49049088580 scopus 로고    scopus 로고
    • Nonlinear planetary gear dynamics using analytical and finite element models
    • (submitted)
    • Ambarisha, V.K., Parker, R.G.: Nonlinear planetary gear dynamics using analytical and finite element models. J. Sound Vib. (2005, submitted)
    • (2005) J. Sound Vib.
    • Ambarisha, V.K.1    Parker, R.G.2
  • 25
    • 8344227732 scopus 로고    scopus 로고
    • Non-linear dynamics of a one-way clutch in belt-pulley systems
    • F. Zhu R.G. Parker 2005 Non-linear dynamics of a one-way clutch in belt-pulley systems J. Sound Vib. 279 285 308
    • (2005) J. Sound Vib. , vol.279 , pp. 285-308
    • Zhu, F.1    Parker, R.G.2
  • 26
    • 0033743537 scopus 로고    scopus 로고
    • Non-linear dynamics of gear-pair systems with periodic stiffness and backlash
    • 2
    • S. Theodossiades S. Natsiavas 2000 Non-linear dynamics of gear-pair systems with periodic stiffness and backlash J. Sound Vib. 229 2 287 310
    • (2000) J. Sound Vib. , vol.229 , pp. 287-310
    • Theodossiades, S.1    Natsiavas, S.2
  • 27
    • 0034271821 scopus 로고    scopus 로고
    • A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration
    • 4
    • R.G. Parker 2000 A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration J. Sound Vib. 236 4 561 573
    • (2000) J. Sound Vib. , vol.236 , pp. 561-573
    • Parker, R.G.1
  • 28
    • 85041097225 scopus 로고    scopus 로고
    • Mesh phasing relationships in planetary and epicyclic gears
    • R.G. Parker J. Lin 2004 Mesh phasing relationships in planetary and epicyclic gears ASME J. Mech. Des. 126 365 370
    • (2004) ASME J. Mech. Des. , vol.126 , pp. 365-370
    • Parker, R.G.1    Lin, J.2
  • 29
    • 33644946618 scopus 로고    scopus 로고
    • Parametric instability of a circular ring subjected to moving springs
    • 1-2
    • S.V. Canchi R.G. Parker 2006 Parametric instability of a circular ring subjected to moving springs J. Sound Vib. 293 1-2 360 379
    • (2006) J. Sound Vib. , vol.293 , pp. 360-379
    • Canchi, S.V.1    Parker, R.G.2
  • 31
    • 0029634612 scopus 로고
    • Dynamics of a piecewise non-linear system subject to dual harmonic excitation using parametric continuation
    • 5
    • C. Padmanabhan R. Singh 1995 Dynamics of a piecewise non-linear system subject to dual harmonic excitation using parametric continuation J. Sound Vib. 184 5 767 799
    • (1995) J. Sound Vib. , vol.184 , pp. 767-799
    • Padmanabhan, C.1    Singh, R.2
  • 32
    • 0001336588 scopus 로고
    • Non-linear vibration of coupled Duffing oscillatos by an improved incremental harmonic balance method
    • 4
    • A.Y.T. Leung S.K. Chui 1995 Non-linear vibration of coupled Duffing oscillatos by an improved incremental harmonic balance method J. Sound Vib. 181 4 619 633
    • (1995) J. Sound Vib. , vol.181 , pp. 619-633
    • Leung, A.Y.T.1    Chui, S.K.2
  • 33
    • 0038147520 scopus 로고    scopus 로고
    • Effect of smoothening functions on the frequency responses of an oscillator with clearance non-linearity
    • 3
    • T.C. Kim R. Singh 2003 Effect of smoothening functions on the frequency responses of an oscillator with clearance non-linearity J. Sound Vib. 263 3 665 678
    • (2003) J. Sound Vib. , vol.263 , pp. 665-678
    • Kim, T.C.1    Singh, R.2
  • 34
    • 28844484998 scopus 로고
    • Impulsive parametric excitation: Theory
    • C.S. Hsu 1972 Impulsive parametric excitation: theory J. Appl. Mech. 39 551 558
    • (1972) J. Appl. Mech. , vol.39 , pp. 551-558
    • Hsu, C.S.1
  • 35
    • 0015600581 scopus 로고
    • Applications of the theory of impulsive parametric excitation and new treatments of general parametric excitation problems
    • C.S. Hsu W.H. Cheng 1973 Applications of the theory of impulsive parametric excitation and new treatments of general parametric excitation problems J. Appl. Mech. 40 78 86
    • (1973) J. Appl. Mech. , vol.40 , pp. 78-86
    • Hsu, C.S.1    Cheng, W.H.2
  • 36
    • 0017441527 scopus 로고
    • Efficient numerical treatment of periodic systems with application to stability problems
    • P. Friedmann C.E. Hammond T. Woo 1977 Efficient numerical treatment of periodic systems with application to stability problems Int. J. Numer. Methods Eng. 11 1117 1136
    • (1977) Int. J. Numer. Methods Eng. , vol.11 , pp. 1117-1136
    • Friedmann, P.1    Hammond, C.E.2    Woo, T.3
  • 37
    • 0032632705 scopus 로고    scopus 로고
    • Effect of involute tip relief on dynamic response of spur gear pairs
    • A. Kahraman G.W. Blankenship 1999 Effect of involute tip relief on dynamic response of spur gear pairs J. Mech. Des. 121 313 315
    • (1999) J. Mech. Des. , vol.121 , pp. 313-315
    • Kahraman, A.1    Blankenship, G.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.