메뉴 건너뛰기




Volumn 128, Issue 1, 2006, Pages 97-105

On the mechanism of stick and nonstick, periodic motions in a periodically forced, linear oscillator with dry friction

Author keywords

[No Author keywords available]

Indexed keywords

FORCE MEASUREMENT; FRICTION; MECHANISMS; VELOCITY MEASUREMENT;

EID: 33645743119     PISSN: 10489002     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2128644     Document Type: Article
Times cited : (64)

References (34)
  • 1
    • 85156239428 scopus 로고
    • "Forced Vibrations With Coulomb and Viscous Damping"
    • Den Hartog, J. P., 1931, "Forced Vibrations With Coulomb and Viscous Damping," Trans. ASME, 53, pp. 107-115.
    • (1931) Trans. ASME , vol.53 , pp. 107-115
    • Den Hartog, J.P.1
  • 2
    • 84953658464 scopus 로고
    • "Forced Oscillation of a Spring-Mass System Having Combined Coulomb and Viscous Damping"
    • Levitan, E. S., 1960, "Forced Oscillation of a Spring-Mass System Having Combined Coulomb and Viscous Damping," J. Acoust. Soc. Am., 32, pp. 1265-1269.
    • (1960) J. Acoust. Soc. Am. , vol.32 , pp. 1265-1269
    • Levitan, E.S.1
  • 3
    • 0002299782 scopus 로고
    • "Differential Equations With Discontinuous Right-Hand Side"
    • Filippov, A. F., 1964, "Differential Equations With Discontinuous Right-Hand Side," Am. Math. Soc. Transl., 42, pp. 199-231.
    • (1964) Am. Math. Soc. Transl. , vol.42 , pp. 199-231
    • Filippov, A.F.1
  • 5
    • 0018784682 scopus 로고
    • "Response of a Base Excited System With Coulomb and Viscous Friction"
    • Hundal, M. S., 1979, "Response of a Base Excited System With Coulomb and Viscous Friction," J. Sound Vib., 64, pp. 371-378.
    • (1979) J. Sound Vib. , vol.64 , pp. 371-378
    • Hundal, M.S.1
  • 6
    • 0022468643 scopus 로고
    • "On the Dynamic Response of a System With Dry-Friction"
    • Shaw, S. W., 1986, "On the Dynamic Response of a System With Dry-Friction," J. Sound Vib., 108, pp. 305-325.
    • (1986) J. Sound Vib. , vol.108 , pp. 305-325
    • Shaw, S.W.1
  • 7
    • 0028374906 scopus 로고
    • "Chaos in a Forced Dry-Friction Oscillator: Experiments and Numerical Modeling"
    • Feeny, B. F., and Moon, F. C., 1994, "Chaos in a Forced Dry-Friction Oscillator: Experiments and Numerical Modeling," J. Sound Vib., 170, pp. 303-323.
    • (1994) J. Sound Vib. , vol.170 , pp. 303-323
    • Feeny, B.F.1    Moon, F.C.2
  • 8
    • 0001338470 scopus 로고    scopus 로고
    • "Dynamics of Oscillators With Impact and Friction"
    • Hinrichs, N., Oestreich, M., and Popp, K., 1997, "Dynamics of Oscillators With Impact and Friction," Chaos, Solitons Fractals, 8(4), pp. 535-558.
    • (1997) Chaos, Solitons Fractals , vol.8 , Issue.4 , pp. 535-558
    • Hinrichs, N.1    Oestreich, M.2    Popp, K.3
  • 9
    • 0000634953 scopus 로고    scopus 로고
    • "On the Modeling of Friction Oscillators"
    • Hinrichs, N., Oestreich, M., and Popp, K., 1998, "On the Modeling of Friction Oscillators," J. Sound Vib., 216(3), pp. 435-459.
    • (1998) J. Sound Vib. , vol.216 , Issue.3 , pp. 435-459
    • Hinrichs, N.1    Oestreich, M.2    Popp, K.3
  • 10
    • 0032179038 scopus 로고    scopus 로고
    • "Stability of Piecewise Linear Oscillators With Viscous and Dry Friction Damping"
    • Natsiavas, S., 1998, "Stability of Piecewise Linear Oscillators With Viscous and Dry Friction Damping," J. Sound Vib., 217, pp. 507-522.
    • (1998) J. Sound Vib. , pp. 507-522
    • Natsiavas, S.1
  • 11
    • 0033353813 scopus 로고    scopus 로고
    • "Dynamics of Oscillators With Strongly Nonlinear Asymmetric Damping"
    • Natsiavas, S., and Verros, G., 1999. "Dynamics of Oscillators With Strongly Nonlinear Asymmetric Damping," Nonlinear Dyn., 20, pp. 221-246.
    • (1999) Nonlinear Dyn. , vol.20 , pp. 221-246
    • Natsiavas, S.1    Verros, G.2
  • 13
    • 0002930937 scopus 로고    scopus 로고
    • "Grazing Bifurcation and Basins of Attraction in an Impact-Friction Oscillator"
    • Virgin, L. N. and Begley, C. J., 1999, "Grazing Bifurcation and Basins of Attraction in an Impact-Friction Oscillator," Physica D, 130, pp. 43-57.
    • (1999) Physica D , vol.130 , pp. 43-57
    • Virgin, L.N.1    Begley, C.J.2
  • 14
    • 0346688041 scopus 로고    scopus 로고
    • "On the Origin and Bifurcations of Stick-Slip Oscillations"
    • Dankowicz, H., and Nordmark, A. B., 2000, "On the Origin and Bifurcations of Stick-Slip Oscillations," Physica D, 136, pp. 280-302.
    • (2000) Physica D , vol.136 , pp. 280-302
    • Dankowicz, H.1    Nordmark, A.B.2
  • 15
    • 0031153763 scopus 로고    scopus 로고
    • "Event-Maps in a Stick-Slip System"
    • Galvanetto, U., and Knudsen, C., 1997, "Event-Maps in a Stick-Slip System," Nonlinear Dyn., 13, pp. 99-115.
    • (1997) Nonlinear Dyn. , vol.13 , pp. 99-115
    • Galvanetto, U.1    Knudsen, C.2
  • 16
    • 0035091807 scopus 로고    scopus 로고
    • "Friction-Induced Vibration-With and Without External Disturbance"
    • Ko, P. L., Taponat, M.-C., and Pfaifer, R., 2001, "Friction-Induced Vibration-With and Without External Disturbance," Tribol. Int., 34, pp. 7-24.
    • (2001) Tribol. Int. , vol.34 , pp. 7-24
    • Ko, P.L.1    Taponat, M.-C.2    Pfaifer, R.3
  • 17
    • 0036028167 scopus 로고    scopus 로고
    • "Friction Oscillator Excited by Moving Base and Colliding With a Rigid or Deformable Obstacle"
    • Andreaus, U., and Casini, P., 2002. "Friction Oscillator Excited by Moving Base and Colliding With a Rigid or Deformable Obstacle," Int. J. Non-Linear Mech., 37, pp. 117-133.
    • (2002) Int. J. Non-Linear Mech. , vol.37 , pp. 117-133
    • Andreaus, U.1    Casini, P.2
  • 18
    • 0037374879 scopus 로고    scopus 로고
    • "Analytical Approximations for Stick-Slip Vibration Amplitudes"
    • Thomsen, J. J., and Fidlin, A., 2003, "Analytical Approximations for Stick-Slip Vibration Amplitudes," Int. J. Non-Linear Mech., 38, pp. 389-403.
    • (2003) Int. J. Non-Linear Mech. , vol.38 , pp. 389-403
    • Thomsen, J.J.1    Fidlin, A.2
  • 19
    • 0037456998 scopus 로고    scopus 로고
    • "Harmonic Balance/Galerkin Method for Non-Smooth Dynamical System"
    • Kim, W. J., and Perkins, N. C., 2003, "Harmonic Balance/Galerkin Method for Non-Smooth Dynamical System," J. Sound Vib., 261, pp. 213-224.
    • (2003) J. Sound Vib. , vol.261 , pp. 213-224
    • Kim, W.J.1    Perkins, N.C.2
  • 20
    • 0003845853 scopus 로고
    • "Analytical Modeling of Bifurcations, Chaos and Fractals in Nonlinear Dynamics"
    • Ph.D. Dissertation, University of Manitoba, Winnipeg, Canada
    • Luo, A. C. J. "Analytical Modeling of Bifurcations, Chaos and Fractals in Nonlinear Dynamics," Ph.D. Dissertation, University of Manitoba, Winnipeg, Canada, 1995.
    • (1995)
    • Luo, A.C.J.1
  • 21
    • 0001010159 scopus 로고
    • "Chaotic Motion of a Horizontal Impact Pair"
    • Han, R. P. S., Luo, A. C. J., and Deng, W., 1995, "Chaotic Motion of a Horizontal Impact Pair," J. Sound Vib., 181, pp. 231-250.
    • (1995) J. Sound Vib. , vol.181 , pp. 231-250
    • Han, R.P.S.1    Luo, A.C.J.2    Deng, W.3
  • 22
    • 0036660539 scopus 로고    scopus 로고
    • "An Unsymmetrical Motion in a Horizontal Impact Oscillator"
    • Luo, A. C. J., 2002, "An Unsymmetrical Motion in a Horizontal Impact Oscillator," ASME J. Vibn Acoust., 124, pp. 420-426.
    • (2002) ASME J. Vibn Acoust. , vol.124 , pp. 420-426
    • Luo, A.C.J.1
  • 23
    • 23944432394 scopus 로고    scopus 로고
    • "An Analytical Prediction of the Global Period-1 Motion in a Periodically Forced, Piecewise Linear System"
    • Menon, S., and Luo, A. C. J., 2003, "An Analytical Prediction of the Global Period-1 Motion in a Periodically Forced, Piecewise Linear System," Int. J. Bifurcation Chaos Appl. Sci. Eng., 15, pp. 1945-1957.
    • (2003) Int. J. Bifurcation Chaos Appl. Sci. Eng. , vol.15 , pp. 1945-1957
    • Menon, S.1    Luo, A.C.J.2
  • 24
    • 0141615851 scopus 로고    scopus 로고
    • "Global Chaos in a Periodically Forced, Linear System With a Dead-Zone Restoring Force"
    • Luo, A. C. J., and Menon, S., 2004, "Global Chaos in a Periodically Forced, Linear System With a Dead-Zone Restoring Force," Chaos, Solitons Fractals, 19. pp. 1189-1199.
    • (2004) Chaos, Solitons Fractals , vol.19 , pp. 1189-1199
    • Luo, A.C.J.1    Menon, S.2
  • 25
    • 18844445254 scopus 로고    scopus 로고
    • "The Mapping Dynamics of Periodic Motions for a Three-Piecewise Linear System Under a Periodic Excitation"
    • Luo, A. C. J., 2004, "The Mapping Dynamics of Periodic Motions for a Three-Piecewise Linear System Under a Periodic Excitation," J. Sound Vib., 283, pp. 724-748.
    • (2004) J. Sound Vib. , vol.283 , pp. 724-748
    • Luo, A.C.J.1
  • 26
    • 0000863642 scopus 로고
    • "Doubling of the Oscillation Period With C-Bifurcation in Piecewise-Continuous Systems"
    • Feigin, M. I., 1970, "Doubling of the Oscillation Period With C-Bifurcation in Piecewise-Continuous Systems," Phys. Met. Metallogr., 34, pp. 861-869.
    • (1970) Phys. Met. Metallogr. , vol.34 , pp. 861-869
    • Feigin, M.I.1
  • 27
    • 21344472534 scopus 로고
    • "The Increasingly Complex Structure of the Bifurcation Tree of a Piecewise-Smooth System"
    • Feigin, M. I., 1995, "The Increasingly Complex Structure of the Bifurcation Tree of a Piecewise-Smooth System," J. Appl. Math. Mech., 59, pp. 853-863.
    • (1995) J. Appl. Math. Mech. , vol.59 , pp. 853-863
    • Feigin, M.I.1
  • 28
    • 0033229544 scopus 로고    scopus 로고
    • "Local Analysis of C-Bifurcations in n-Dimensional Piecewise-Smooth Dynamical Systems"
    • di Bernardo, M., Feigin, M. I., Hogan, S. J., and Homer, M. E., 1999, "Local Analysis of C-Bifurcations in n-Dimensional Piecewise-Smooth Dynamical Systems," Chaos, Solitons Fractals, 10, pp. 1881-1908.
    • (1999) Chaos, Solitons Fractals , vol.10 , pp. 1881-1908
    • di Bernardo, M.1    Feigin, M.I.2    Hogan, S.J.3    Homer, M.E.4
  • 29
    • 0026419524 scopus 로고
    • "Non-Periodic Motion Caused by Grazing Incidence in an Impact Oscillator"
    • Nordmark, A. B., 1991, "Non-Periodic Motion Caused by Grazing Incidence in an Impact Oscillator," J. Sound Vib., 145, pp. 279-297.
    • (1991) J. Sound Vib. , vol.145 , pp. 279-297
    • Nordmark, A.B.1
  • 30
    • 0035911618 scopus 로고    scopus 로고
    • "Grazing and Border-Collision in Piecewise-Smooth Systems: A Unified Analytical Frame-work"
    • di Bernardo, M., Budd, C. J., and Champney, A. R., 2001, "Grazing and Border-Collision in Piecewise-Smooth Systems: A Unified Analytical Frame-work," Phys. Rev. Lett., 86, pp. 2553-2556.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 2553-2556
    • di Bernardo, M.1    Budd, C.J.2    Champney, A.R.3
  • 31
    • 0035892830 scopus 로고    scopus 로고
    • "Normal Form Maps for Grazing Bifurcation in n-Dimensional Piecewise-Smooth Dynamical Systems"
    • di Bernardo, M., Budd, C. J., and Champneys, A. R., 2001, "Normal Form Maps for Grazing Bifurcation in n-Dimensional Piecewise-Smooth Dynamical Systems," Physica D, 160, pp. 222-254.
    • (2001) Physica D , vol.160 , pp. 222-254
    • di Bernardo, M.1    Budd, C.J.2    Champneys, A.R.3
  • 32
    • 0037105976 scopus 로고    scopus 로고
    • "Bifurcation of Dynamical Systems With Sliding: Derivation of Normal Form Mappings"
    • di Bernardo, M., Kowalczyk, P., and Nordmark, A. B., 2002, "Bifurcation of Dynamical Systems With Sliding: Derivation of Normal Form Mappings," Physica D, 170, pp. 175-205.
    • (2002) Physica D , vol.170 , pp. 175-205
    • di Bernardo, M.1    Kowalczyk, P.2    Nordmark, A.B.3
  • 33
  • 34
    • 3543127080 scopus 로고    scopus 로고
    • "A Theory for Non-Smooth Dynamical Systems on Connectable Domains"
    • Luo. A. C. J., 2005. "A Theory for Non-Smooth Dynamical Systems on Connectable Domains," Commun. Nonlinear Sci. Numer. Simul., 10, pp. 1-55.
    • (2005) Commun. Nonlinear Sci. Numer. Simul. , vol.10 , pp. 1-55
    • Luo, A.C.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.