메뉴 건너뛰기




Volumn 366, Issue 1866, 2008, Pages 767-784

Transient tumbling chaos and damping identification for parametric pendulum

Author keywords

Dry friction; Linear viscosity; Parameter identification; Parametric pendula; Transient tumbling chaos

Indexed keywords

DAMPING; IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; NUMERICAL METHODS;

EID: 38349165929     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2007.2126     Document Type: Article
Times cited : (45)

References (36)
  • 1
    • 85020765201 scopus 로고    scopus 로고
    • Aguirregabiria, J. M. 2005 DYNAMICS SOLVER. Date of publication: 4 April 2005. Date received: 4 December 2006. Date last modified: 23 November 2006. See http://tp.lc.ehu.es/jma/ds/menu.html.
    • Aguirregabiria, J. M. 2005 DYNAMICS SOLVER. Date of publication: 4 April 2005. Date received: 4 December 2006. Date last modified: 23 November 2006. See http://tp.lc.ehu.es/jma/ds/menu.html.
  • 2
    • 33746570640 scopus 로고    scopus 로고
    • Nonlinear parametric identification of magnetic bearings
    • doi:10.1016/j. mechatronics.2006.03.008
    • Alasty, A. & Shabani, R. 2006 Nonlinear parametric identification of magnetic bearings. Mechatronics 16, 451-459. (doi:10.1016/j. mechatronics.2006.03.008)
    • (2006) Mechatronics , vol.16 , pp. 451-459
    • Alasty, A.1    Shabani, R.2
  • 3
    • 2342463080 scopus 로고    scopus 로고
    • Experimental identification of damping
    • doi:10.1016/j.ijsolstr.2004.02.006
    • Barbieri, N., Novak, P. R. & Barbieri, R. 2004 Experimental identification of damping. Int. J. Solids Struct. 41, 3585-3594. (doi:10.1016/j.ijsolstr.2004.02.006)
    • (2004) Int. J. Solids Struct , vol.41 , pp. 3585-3594
    • Barbieri, N.1    Novak, P.R.2    Barbieri, R.3
  • 4
    • 0000659130 scopus 로고    scopus 로고
    • Zones of chaotic behaviour in the parametrically excited pendulum
    • doi:10.1006/jsvi.1996.0011
    • Bishop, S. R. & Clifford, M. J. 1996 Zones of chaotic behaviour in the parametrically excited pendulum. J. Sound Vib. 189, 142-147. (doi:10.1006/jsvi.1996.0011)
    • (1996) J. Sound Vib , vol.189 , pp. 142-147
    • Bishop, S.R.1    Clifford, M.J.2
  • 5
    • 33746746531 scopus 로고    scopus 로고
    • Flexible control of the parametrically excited pendulum
    • doi:10.1098/rspa.1996.0095
    • Bishop, S. R., Xu, D. L. & Clifford, M. J. 1996 Flexible control of the parametrically excited pendulum. Proc. R. Soc. A 452, 1789-1806. (doi:10.1098/rspa.1996.0095)
    • (1996) Proc. R. Soc. A , vol.452 , pp. 1789-1806
    • Bishop, S.R.1    Xu, D.L.2    Clifford, M.J.3
  • 6
    • 33645884120 scopus 로고    scopus 로고
    • Parameter identification of Rossler's chaotic system by an evolutionary algorithm
    • doi:10.1016/j.chaos.2005.08.121
    • Chang, W.-D. 2006 Parameter identification of Rossler's chaotic system by an evolutionary algorithm. Chaos Soliton Fract. 29, 1047-1053. (doi:10.1016/j.chaos.2005.08.121)
    • (2006) Chaos Soliton Fract , vol.29 , pp. 1047-1053
    • Chang, W.-D.1
  • 7
    • 0028427637 scopus 로고
    • Approximating the escape zone for the parametrically excited pendulum
    • doi: 10.1006/jsvi.1994.1199
    • Clifford, M. J. & Bishop, S. R. 1994 Approximating the escape zone for the parametrically excited pendulum. J. Sound Vib. 172, 572 576. (doi: 10.1006/jsvi.1994.1199)
    • (1994) J. Sound Vib , vol.172 , pp. 572-576
    • Clifford, M.J.1    Bishop, S.R.2
  • 9
    • 33646499644 scopus 로고    scopus 로고
    • Chaos and transient chaos in an experimental nonlinear pendulum
    • doi:10.1016/j.jsv.2005.11.015
    • de Paula, A. S., Savi, M. A. & Pereira-Pinto, F. H. I. 2006 Chaos and transient chaos in an experimental nonlinear pendulum. J. Sound Vib. 294, 585-595. (doi:10.1016/j.jsv.2005.11.015)
    • (2006) J. Sound Vib , vol.294 , pp. 585-595
    • de Paula, A.S.1    Savi, M.A.2    Pereira-Pinto, F.H.I.3
  • 10
    • 0002962729 scopus 로고
    • A nonsmooth Coulomb friction oscillator
    • doi: 10.1016/0167-2789(92)90204-Z
    • Feeny, B. F. 1992 A nonsmooth Coulomb friction oscillator. Physica D 59, 25 38. (doi: 10.1016/0167-2789(92)90204-Z)
    • (1992) Physica D , vol.59 , pp. 25-38
    • Feeny, B.F.1
  • 11
    • 0030575461 scopus 로고    scopus 로고
    • A decrement method for the simultaneous estimation of coulomb and viscous friction
    • doi:10.1006/jsvi.1996.0411
    • Feeny, B. F. & Liang, J. W. 1996 A decrement method for the simultaneous estimation of coulomb and viscous friction. J. Sound Vib. 195, 149-154. (doi:10.1006/jsvi.1996.0411)
    • (1996) J. Sound Vib , vol.195 , pp. 149-154
    • Feeny, B.F.1    Liang, J.W.2
  • 15
    • 0000634953 scopus 로고    scopus 로고
    • On the modelling of friction oscillators
    • doi:10.1006/jsvi.1998.1736
    • Hinrichs, N., Oestreich, M. & Popp, K. 1998 On the modelling of friction oscillators. J. Sound Vib. 213, 435-459. (doi:10.1006/jsvi.1998.1736)
    • (1998) J. Sound Vib , vol.213 , pp. 435-459
    • Hinrichs, N.1    Oestreich, M.2    Popp, K.3
  • 16
    • 0002682895 scopus 로고
    • Chaotic behaviour of a parametrically excited damped pendulum
    • doi:10.1016/0375-9601(81)90167-5
    • Leven, R. W. & Koch, B. P. 1981 Chaotic behaviour of a parametrically excited damped pendulum. Phys. Lett. A 86, 71-74. (doi:10.1016/0375-9601(81)90167-5)
    • (1981) Phys. Lett. A , vol.86 , pp. 71-74
    • Leven, R.W.1    Koch, B.P.2
  • 17
    • 14744301503 scopus 로고    scopus 로고
    • Identifying Coulomb and viscous damping from free-vibration acceleration decrements
    • doi:10.1016/j.jsv.2004.04.034
    • Liang, J.-W. 2005 Identifying Coulomb and viscous damping from free-vibration acceleration decrements. J. Sound Vib. 282, 1208-1220. (doi:10.1016/j.jsv.2004.04.034)
    • (2005) J. Sound Vib , vol.282 , pp. 1208-1220
    • Liang, J.-W.1
  • 18
    • 33745167341 scopus 로고    scopus 로고
    • Balancing energy to estimate damping parameters in forced oscillators
    • doi:10.1016/j.jsv.2006.01.060
    • Liang, J.-W. & Feeny, B. F. 2006 Balancing energy to estimate damping parameters in forced oscillators. J. Sound Vib. 295, 988 998. (doi:10.1016/j.jsv.2006.01.060)
    • (2006) J. Sound Vib , vol.295 , pp. 988-998
    • Liang, J.-W.1    Feeny, B.F.2
  • 20
    • 4243489552 scopus 로고
    • Controlling chaos
    • doi:10.1103/PhysRevLett.64.1196
    • Ott, E., Grebogi, C. & Yorke, J. A. 1990 Controlling chaos. Phys. Rev. Lett. 64, 1196-1199. (doi:10.1103/PhysRevLett.64.1196)
    • (1990) Phys. Rev. Lett , vol.64 , pp. 1196-1199
    • Ott, E.1    Grebogi, C.2    Yorke, J.A.3
  • 21
    • 85058247864 scopus 로고    scopus 로고
    • Dissipative unimodal structural damping identification
    • Panet, M. & Jezequel, L. 2000 Dissipative unimodal structural damping identification. Nonlin. Mech. 35, 795-815.
    • (2000) Nonlin. Mech , vol.35 , pp. 795-815
    • Panet, M.1    Jezequel, L.2
  • 22
    • 0142153912 scopus 로고    scopus 로고
    • Periodic solution finder for an impact oscillator with a drift
    • doi:10.1016/S0022-460X(03)00193-7
    • Pavlovskaia, E. E. & Wiercigroch, M. 2003 Periodic solution finder for an impact oscillator with a drift. J. Sound Vib. 267, 893-911. (doi:10.1016/S0022-460X(03)00193-7)
    • (2003) J. Sound Vib , vol.267 , pp. 893-911
    • Pavlovskaia, E.E.1    Wiercigroch, M.2
  • 23
    • 0035509450 scopus 로고    scopus 로고
    • Modelling of an impact oscillator with a drift
    • doi:10.1103/PhysRevE.64.056224
    • Pavlovskaia, E., Wiercigroch, M. & Grebogi, C. 2001 Modelling of an impact oscillator with a drift. Phys. Rev. E 64, 056224. (doi:10.1103/PhysRevE.64.056224)
    • (2001) Phys. Rev. E , vol.64 , pp. 056224
    • Pavlovskaia, E.1    Wiercigroch, M.2    Grebogi, C.3
  • 25
    • 0022468643 scopus 로고
    • On the dynamic response of a system with dry friction
    • doi:10.1016/S0022-460X(86)80058-X
    • Shaw, S. W. 1986 On the dynamic response of a system with dry friction. J. Sound Vib. 108, 305-325. (doi:10.1016/S0022-460X(86)80058-X)
    • (1986) J. Sound Vib , vol.108 , pp. 305-325
    • Shaw, S.W.1
  • 26
    • 0021816891 scopus 로고
    • A note on parameter estimation in non-linear vibrating systems
    • doi:10.1243/PIME_PROC_1985_199_094_02
    • Stanway, R., Sprostou, J. L. & Stevens, N. G. 1985 A note on parameter estimation in non-linear vibrating systems. Proc. Inst. Mech. Eng. 199, 79-84. (doi:10.1243/PIME_PROC_1985_199_094_02)
    • (1985) Proc. Inst. Mech. Eng , vol.199 , pp. 79-84
    • Stanway, R.1    Sprostou, J.L.2    Stevens, N.G.3
  • 28
    • 0036474526 scopus 로고    scopus 로고
    • Common features of the onset of the persistent chaos in nonlinear oscillators: A phenomenological approach
    • doi:10.1023/A: 1014456416158
    • Szemplińska-Stupnicka, W. & Tyrkiel, E. 2002 Common features of the onset of the persistent chaos in nonlinear oscillators: a phenomenological approach. Nonlin. Dyn. 27, 271-293. (doi:10.1023/A: 1014456416158)
    • (2002) Nonlin. Dyn , vol.27 , pp. 271-293
    • Szemplińska-Stupnicka, W.1    Tyrkiel, E.2
  • 29
    • 0034257472 scopus 로고    scopus 로고
    • The global bifurcations that lead to transient tumbling chaos in a parametrically driven pendulum
    • Szemplińska-Stupnicka, W., Tyrkiel, E. & Zubrzycki, A. 2000 The global bifurcations that lead to transient tumbling chaos in a parametrically driven pendulum. Int. J. Bifurcat. Chaos 10, 2161-2175.
    • (2000) Int. J. Bifurcat. Chaos , vol.10 , pp. 2161-2175
    • Szemplińska-Stupnicka, W.1    Tyrkiel, E.2    Zubrzycki, A.3
  • 30
    • 0037332664 scopus 로고    scopus 로고
    • A generalized perturbed pendulum
    • doi:10.1016/S0960-0779(02)00210-2
    • Trueba, J. L., Baltanás, J. P. & Sanjuán, M. A. F. 2003 A generalized perturbed pendulum. Chaos Soliton Fract. 15, 911-924. (doi:10.1016/S0960-0779(02)00210-2)
    • (2003) Chaos Soliton Fract , vol.15 , pp. 911-924
    • Trueba, J.L.1    Baltanás, J.P.2    Sanjuán, M.A.F.3
  • 31
    • 0013294485 scopus 로고
    • Unstable periodic orbits in the parametrically excited pendulum
    • doi:10.1103/PhysRevA.44.6388
    • Water, W., Hoppenbrouwers, M. & Christiansen, F. 1991 Unstable periodic orbits in the parametrically excited pendulum. Phys. Rev. A 44, 6388-6398. (doi:10.1103/PhysRevA.44.6388)
    • (1991) Phys. Rev. A , vol.44 , pp. 6388-6398
    • Water, W.1    Hoppenbrouwers, M.2    Christiansen, F.3
  • 33
    • 33846067167 scopus 로고    scopus 로고
    • Approximate analytical solutions for oscillatory and rotational motion of a parametric pendulum
    • doi: 10.1007/s11071-006-9074-4
    • Xu, X. & Wiercigroch, M. 2007 Approximate analytical solutions for oscillatory and rotational motion of a parametric pendulum. Nonlin. Dyn. 47, 311-320. (doi: 10.1007/s11071-006-9074-4)
    • (2007) Nonlin. Dyn , vol.47 , pp. 311-320
    • Xu, X.1    Wiercigroch, M.2
  • 34
    • 9544249382 scopus 로고    scopus 로고
    • Rotating orbits of a parametrically-excited pendulum
    • doi:10.1016/j.chaos.2004.06.053
    • Xu, X., Wiercigroch, M. & Cartmell, M. P. 2005 Rotating orbits of a parametrically-excited pendulum. Chaos Soliton Fract. 23, 1537-1548. (doi:10.1016/j.chaos.2004.06.053)
    • (2005) Chaos Soliton Fract , vol.23 , pp. 1537-1548
    • Xu, X.1    Wiercigroch, M.2    Cartmell, M.P.3
  • 35
    • 33947107033 scopus 로고    scopus 로고
    • Dynamic interactions between parametric pendulum and electro-dynamical shaker
    • doi:10.1002/zamm.200610311
    • Xu, X., Pavlovskaia, E., Weircigroch, M., Romeo, F. & Lenci, S. 2007 Dynamic interactions between parametric pendulum and electro-dynamical shaker. Z. Angew. Math. Mech. 87, 172-186. (doi:10.1002/zamm.200610311)
    • (2007) Z. Angew. Math. Mech , vol.87 , pp. 172-186
    • Xu, X.1    Pavlovskaia, E.2    Weircigroch, M.3    Romeo, F.4    Lenci, S.5
  • 36
    • 0043042263 scopus 로고    scopus 로고
    • Parameter estimation and damping performance of electrorheological dampers
    • doi:10.1006/jsvi.1997.0959
    • Yao, G. Z., Meng, G. & Fang, T. 1997 Parameter estimation and damping performance of electrorheological dampers. J. Sound Vib. 204, 233-242. (doi:10.1006/jsvi.1997.0959)
    • (1997) J. Sound Vib , vol.204 , pp. 233-242
    • Yao, G.Z.1    Meng, G.2    Fang, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.