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Volumn 40, Issue 5, 2009, Pages 2095-2101

Identification of chaos in a cutting process by the 0-1 test

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DEGREES OF FREEDOM (MECHANICS); LYAPUNOV METHODS;

EID: 65549143858     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.09.093     Document Type: Article
Times cited : (77)

References (41)
  • 1
    • 0001041375 scopus 로고
    • Chaos generated by the cutting process
    • Grabec I. Chaos generated by the cutting process. Phys Lett A 117 (1986) 384-386
    • (1986) Phys Lett A , vol.117 , pp. 384-386
    • Grabec, I.1
  • 2
    • 0023863928 scopus 로고
    • Chaotic dynamics of the cutting process
    • Grabec I. Chaotic dynamics of the cutting process. Int J Mach Tools Manufact 28 (1988) 19-32
    • (1988) Int J Mach Tools Manufact , vol.28 , pp. 19-32
    • Grabec, I.1
  • 3
    • 0031191416 scopus 로고    scopus 로고
    • Chaotic vibration of a simple model of the machine tool-cutting process system
    • Wiercigroch M. Chaotic vibration of a simple model of the machine tool-cutting process system. J Vibr Acoust 119 (1997) 468-475
    • (1997) J Vibr Acoust , vol.119 , pp. 468-475
    • Wiercigroch, M.1
  • 4
    • 0001406821 scopus 로고    scopus 로고
    • Chaotic and stochastic dynamics of orthogonal metal cutting
    • Wiercigroch M., and Cheng A. Chaotic and stochastic dynamics of orthogonal metal cutting. Chaos Solitons & Fractals 8 (1997) 715-726
    • (1997) Chaos Solitons & Fractals , vol.8 , pp. 715-726
    • Wiercigroch, M.1    Cheng, A.2
  • 5
    • 33847750460 scopus 로고    scopus 로고
    • Frictional chatter in orthogonal metal cutting
    • Wiercigroch M., and Krivtsov A.M. Frictional chatter in orthogonal metal cutting. Philos T Roy Soc A 359 (2001) 713-738
    • (2001) Philos T Roy Soc A , vol.359 , pp. 713-738
    • Wiercigroch, M.1    Krivtsov, A.M.2
  • 6
    • 0037251845 scopus 로고    scopus 로고
    • Approximate analytical solutions for primary chatter in the nonlinear metal cutting model
    • Warmiński J., Litak G., Cartmell M.P., Khanin R., and Wiercigroch M. Approximate analytical solutions for primary chatter in the nonlinear metal cutting model. J Sound Vibr 259 (2003) 917-933
    • (2003) J Sound Vibr , vol.259 , pp. 917-933
    • Warmiński, J.1    Litak, G.2    Cartmell, M.P.3    Khanin, R.4    Wiercigroch, M.5
  • 7
    • 0142247108 scopus 로고    scopus 로고
    • Controlling chaotic instability of cutting process by high-frequency excitation: a numerical investigation
    • Chatterjee S., and Singha T.K. Controlling chaotic instability of cutting process by high-frequency excitation: a numerical investigation. J Sound Vibr 267 (2003) 1184-1192
    • (2003) J Sound Vibr , vol.267 , pp. 1184-1192
    • Chatterjee, S.1    Singha, T.K.2
  • 8
    • 0030270867 scopus 로고    scopus 로고
    • A chaotic cutting process and determining optimal cutting parameter using neural networks
    • Gradisek J., Govekar E., and Grabec I. A chaotic cutting process and determining optimal cutting parameter using neural networks. Int J Mach Tools Manufact 36 (1996) 1161-1172
    • (1996) Int J Mach Tools Manufact , vol.36 , pp. 1161-1172
    • Gradisek, J.1    Govekar, E.2    Grabec, I.3
  • 9
    • 34547260367 scopus 로고    scopus 로고
    • Cutting process dynamics by nonlinear time series and wavelet analysis
    • Sen A.K., Litak G., and Syta A. Cutting process dynamics by nonlinear time series and wavelet analysis. Chaos 17 (2007) 023133
    • (2007) Chaos , vol.17 , pp. 023133
    • Sen, A.K.1    Litak, G.2    Syta, A.3
  • 11
    • 0003143423 scopus 로고    scopus 로고
    • Delay-differential equation models for machine tool chatter
    • Moon F.C. (Ed), Wiley
    • Stepan G. Delay-differential equation models for machine tool chatter. In: Moon F.C. (Ed). Dynamics and chaos in manufacturing processes (1998), Wiley 165-192
    • (1998) Dynamics and chaos in manufacturing processes , pp. 165-192
    • Stepan, G.1
  • 12
    • 0842313698 scopus 로고    scopus 로고
    • Modelling nonlinear regenerative effects in metal cutting
    • Stepan G. Modelling nonlinear regenerative effects in metal cutting. Phil Trans R Soc Lond A 359 (2001) 739-757
    • (2001) Phil Trans R Soc Lond A , vol.359 , pp. 739-757
    • Stepan, G.1
  • 13
    • 0037411659 scopus 로고    scopus 로고
    • Delay dynamical systems and applications to nonlinear machine-tool chatter
    • Fofana M.S. Delay dynamical systems and applications to nonlinear machine-tool chatter. Chaos, Solitons & Fractals 17 (2003) 731-747
    • (2003) Chaos, Solitons & Fractals , vol.17 , pp. 731-747
    • Fofana, M.S.1
  • 14
    • 0032641698 scopus 로고    scopus 로고
    • Design control modeling for chatter
    • Pratt J.R., and Nayfeh A.H. Design control modeling for chatter. Nonlinear Dynam 19 (1999) 49-69
    • (1999) Nonlinear Dynam , vol.19 , pp. 49-69
    • Pratt, J.R.1    Nayfeh, A.H.2
  • 16
    • 34248343792 scopus 로고    scopus 로고
    • Machining dynamics involving whirling part II: machining motions described by nonlinear and linearized models
    • Dassanayake A.V., and Suh C.S. Machining dynamics involving whirling part II: machining motions described by nonlinear and linearized models. J Vibr Control 13 (2007) 507-526
    • (2007) J Vibr Control , vol.13 , pp. 507-526
    • Dassanayake, A.V.1    Suh, C.S.2
  • 17
    • 0036604641 scopus 로고    scopus 로고
    • Chaotic vibrations in a regenerative cutting process
    • Litak G. Chaotic vibrations in a regenerative cutting process. Chaos, Solitons & Fractals 13 (2002) 1531-1535
    • (2002) Chaos, Solitons & Fractals , vol.13 , pp. 1531-1535
    • Litak, G.1
  • 18
    • 33645893762 scopus 로고    scopus 로고
    • Nonlinear dynamics of regenerative cutting processes - comparison of two models
    • Wang X.S., Hu J., and Gao J.B. Nonlinear dynamics of regenerative cutting processes - comparison of two models. Chaos, Solitons & Fractals 29 (2006) 1219-1228
    • (2006) Chaos, Solitons & Fractals , vol.29 , pp. 1219-1228
    • Wang, X.S.1    Hu, J.2    Gao, J.B.3
  • 19
    • 0027067344 scopus 로고
    • The chaotic characteristics of three-dimensional cutting
    • Tansel I.N., Erkal C., and Keramidas T. The chaotic characteristics of three-dimensional cutting. Int J Mach Tools Manufact 32 (1992) 811-827
    • (1992) Int J Mach Tools Manufact , vol.32 , pp. 811-827
    • Tansel, I.N.1    Erkal, C.2    Keramidas, T.3
  • 21
    • 0942288210 scopus 로고    scopus 로고
    • Nonlinear analysis of experimental time series of a straight turning process
    • Litak G., Rusinek R., and Teter A. Nonlinear analysis of experimental time series of a straight turning process. Meccanica 39 (2004) 105-112
    • (2004) Meccanica , vol.39 , pp. 105-112
    • Litak, G.1    Rusinek, R.2    Teter, A.3
  • 22
    • 0036752137 scopus 로고    scopus 로고
    • Stochastic dynamics of metal cutting: bifurcation phenomena in turning
    • Gradisek J., Grabec I., Sigert S., and Friedrich R. Stochastic dynamics of metal cutting: bifurcation phenomena in turning. Mech Sys Signal Process 16 (2002) 831-840
    • (2002) Mech Sys Signal Process , vol.16 , pp. 831-840
    • Gradisek, J.1    Grabec, I.2    Sigert, S.3    Friedrich, R.4
  • 23
    • 0035902090 scopus 로고    scopus 로고
    • Chater onset in non-regenerative cutting: a numerical study
    • Gradisek J., Govekar E., and Grabec I. Chater onset in non-regenerative cutting: a numerical study. J Sound Vibr 242 (2001) 829-838
    • (2001) J Sound Vibr , vol.242 , pp. 829-838
    • Gradisek, J.1    Govekar, E.2    Grabec, I.3
  • 24
    • 0032205373 scopus 로고    scopus 로고
    • Time series analysis in metal cutting: chater versus chatter-free cutting
    • Gradisek J., Govekar E., and Grabec I. Time series analysis in metal cutting: chater versus chatter-free cutting. Mech Sys Signal Process 12 (1998) 839-854
    • (1998) Mech Sys Signal Process , vol.12 , pp. 839-854
    • Gradisek, J.1    Govekar, E.2    Grabec, I.3
  • 25
    • 0032115651 scopus 로고    scopus 로고
    • Using coarse-grained entropy rate to detect chatter in cutting
    • Gradisek J., Govekar E., and Grabec I. Using coarse-grained entropy rate to detect chatter in cutting. J Sound Vibr 214 (1998) 941-952
    • (1998) J Sound Vibr , vol.214 , pp. 941-952
    • Gradisek, J.1    Govekar, E.2    Grabec, I.3
  • 26
    • 0018989294 scopus 로고
    • Lyapunov characteristics exponents for smooth dynamical systems and for Hamiltonian systems: a method for computing all of them - 1. Theory
    • Benettin G., Galgani L., Giorgilli A., and Strelcyn J.-M. Lyapunov characteristics exponents for smooth dynamical systems and for Hamiltonian systems: a method for computing all of them - 1. Theory. Meccanica 15 (1980) 9-20
    • (1980) Meccanica , vol.15 , pp. 9-20
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3    Strelcyn, J.-M.4
  • 27
    • 0018992908 scopus 로고
    • Lyapunov characteristics exponents for smooth dynamical systems and for Hamiltonian systems: a method for computing all of them - 2. Numerical application
    • Benettin G., Galgani L., Giorgilli A., and Strelcyn J.-M. Lyapunov characteristics exponents for smooth dynamical systems and for Hamiltonian systems: a method for computing all of them - 2. Numerical application. Meccanica 15 (1980) 21-30
    • (1980) Meccanica , vol.15 , pp. 21-30
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3    Strelcyn, J.-M.4
  • 28
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time-series
    • Wolf A., Swift J.B., Swinney H.L., and Vastano J.A. Determining Lyapunov exponents from a time-series. Physica D 16 (1985) 285-317
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4
  • 29
    • 1542512469 scopus 로고    scopus 로고
    • A new test for chaos in deterministic systems
    • Gottwald G.A., and Melbourne I. A new test for chaos in deterministic systems. Proc R Soc Lond A 460 (2004) 603-611
    • (2004) Proc R Soc Lond A , vol.460 , pp. 603-611
    • Gottwald, G.A.1    Melbourne, I.2
  • 30
    • 27744608106 scopus 로고    scopus 로고
    • Testing for chaos in deterministic systems with noise
    • Gottwald G.A., and Melbourne I. Testing for chaos in deterministic systems with noise. Physica D 212 (2005) 100-110
    • (2005) Physica D , vol.212 , pp. 100-110
    • Gottwald, G.A.1    Melbourne, I.2
  • 31
    • 0000308422 scopus 로고
    • Singular continuous spectra in dissipative dynamics
    • Pikovsky A.S., Zaks M.A., Feudel U., and Kurths J. Singular continuous spectra in dissipative dynamics. Phys Rev E 52 (1995) 285-296
    • (1995) Phys Rev E , vol.52 , pp. 285-296
    • Pikovsky, A.S.1    Zaks, M.A.2    Feudel, U.3    Kurths, J.4
  • 32
    • 0000840938 scopus 로고    scopus 로고
    • Bifurcation to strange nonchaotic attractors
    • Yalcinkaya T., and Lai Y.-C. Bifurcation to strange nonchaotic attractors. Phys Rev E 56 (1997) 1623-1630
    • (1997) Phys Rev E , vol.56 , pp. 1623-1630
    • Yalcinkaya, T.1    Lai, Y.-C.2
  • 34
    • 28844498047 scopus 로고    scopus 로고
    • Reliability of the 0-1 test for chaos
    • Hu J., Tung W.-W., Gao J.B., and Cao Y. Reliability of the 0-1 test for chaos. Phys Rev E 72 (2005) 056207
    • (2005) Phys Rev E , vol.72 , pp. 056207
    • Hu, J.1    Tung, W.-W.2    Gao, J.B.3    Cao, Y.4
  • 35
    • 39149111285 scopus 로고    scopus 로고
    • Stochastic description of the deterministic Ricker's population model
    • Syta A., and Litak G. Stochastic description of the deterministic Ricker's population model. Chaos, Solitons & Fractals 37 (2008) 262-268
    • (2008) Chaos, Solitons & Fractals , vol.37 , pp. 262-268
    • Syta, A.1    Litak, G.2
  • 38
    • 41349102713 scopus 로고    scopus 로고
    • Microscopic chaos from Brownian motion in a one-dimensional anharmonic oscillator chain
    • Romero-Bastida M., and Braun E. Microscopic chaos from Brownian motion in a one-dimensional anharmonic oscillator chain. Phys Rev E 65 (2002) 036228
    • (2002) Phys Rev E , vol.65 , pp. 036228
    • Romero-Bastida, M.1    Braun, E.2
  • 40
    • 34548696055 scopus 로고
    • Independent coordinates for strange attractors from mutual information
    • Fraser A.M., and Swinney H.L. Independent coordinates for strange attractors from mutual information. Phys Rev A 33 (1986) 1134-1140
    • (1986) Phys Rev A , vol.33 , pp. 1134-1140
    • Fraser, A.M.1    Swinney, H.L.2
  • 41
    • 0000810560 scopus 로고    scopus 로고
    • Practical implementation of nonlinear time series methods: the TISEAN package
    • Hegger R., Kantz H., and Schreiber T. Practical implementation of nonlinear time series methods: the TISEAN package. Chaos 9 (1999) 413-435
    • (1999) Chaos , vol.9 , pp. 413-435
    • Hegger, R.1    Kantz, H.2    Schreiber, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.