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Volumn 293, Issue 1-2, 2006, Pages 138-155

Evidences of global bifurcations of an imperfect circular plate

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; GALERKIN METHODS; NATURAL FREQUENCIES; RESONANCE;

EID: 33644935653     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2005.09.035     Document Type: Article
Times cited : (23)

References (25)
  • 2
    • 0027681092 scopus 로고
    • Non-linear vibrations and chaos in harmonically excited rectangular plates with one-to-one internal resonance
    • S.I. Chang, A.K. Bajaj, and C.M. Krousgill Non-linear vibrations and chaos in harmonically excited rectangular plates with one-to-one internal resonance Non-linear Dynamics 4 1993 433 460
    • (1993) Non-linear Dynamics , vol.4 , pp. 433-460
    • Chang, S.I.1    Bajaj, A.K.2    Krousgill, C.M.3
  • 3
    • 0015068034 scopus 로고
    • A new approach to the large-deflection vibrations of imperfect circular disks using Galerkin's procedure
    • G.J. Efstathiades A new approach to the large-deflection vibrations of imperfect circular disks using Galerkin's procedure Journal of Sound and Vibration 16 1971 231 253
    • (1971) Journal of Sound and Vibration , vol.16 , pp. 231-253
    • Efstathiades, G.J.1
  • 4
    • 0016846224 scopus 로고
    • Non-linear resonances in the forced responses of plates, part I: Symmetric responses of circular plates
    • S. Sridhar, D.T. Mook, and A.H. Nayfeh Non-linear resonances in the forced responses of plates, part I: symmetric responses of circular plates Journal of Sound and Vibration 41 1975 359 373
    • (1975) Journal of Sound and Vibration , vol.41 , pp. 359-373
    • Sridhar, S.1    Mook, D.T.2    Nayfeh, A.H.3
  • 7
    • 0017985205 scopus 로고
    • Non-linear resonances in the forced responses of plates, part II: Asymmetric responses of circular plates
    • S. Sridhar, D.T. Mook, and A.H. Nayfeh Non-linear resonances in the forced responses of plates, part II: asymmetric responses of circular plates Journal of Sound and Vibration 59 1978 159 170
    • (1978) Journal of Sound and Vibration , vol.59 , pp. 159-170
    • Sridhar, S.1    Mook, D.T.2    Nayfeh, A.H.3
  • 9
    • 0037206996 scopus 로고    scopus 로고
    • Corrected solvability conditions for non-linear asymmetric vibrations of a circular plate
    • M.H. Yeo, and W.K. Lee Corrected solvability conditions for non-linear asymmetric vibrations of a circular plate Journal of Sound and Vibration 257 2002 653 665
    • (2002) Journal of Sound and Vibration , vol.257 , pp. 653-665
    • Yeo, M.H.1    Lee, W.K.2
  • 10
    • 0037869092 scopus 로고    scopus 로고
    • Non-linear interactions in asymmetric vibrations of a circular plate
    • W.K. Lee, and M.H. Yeo Non-linear interactions in asymmetric vibrations of a circular plate Journal of Sound and Vibration 263 2003 1017 1030
    • (2003) Journal of Sound and Vibration , vol.263 , pp. 1017-1030
    • Lee, W.K.1    Yeo, M.H.2
  • 11
    • 0345689697 scopus 로고    scopus 로고
    • The effect of the number of the nodal diameters on non-linear interactions in two asymmetric vibration modes of a circular plate
    • W.K. Lee, M.H. Yeo, and S.B. Samoilenko The effect of the number of the nodal diameters on non-linear interactions in two asymmetric vibration modes of a circular plate Journal of Sound and Vibration 268 2003 1013 1023
    • (2003) Journal of Sound and Vibration , vol.268 , pp. 1013-1023
    • Lee, W.K.1    Yeo, M.H.2    Samoilenko, S.B.3
  • 12
    • 0042816749 scopus 로고    scopus 로고
    • Asymmetric non-linear forced vibrations of free-edge circular plates. Part I: Theory
    • C. Touzé, O. Thomas, and A. Chaigne Asymmetric non-linear forced vibrations of free-edge circular plates. Part I: theory Journal of Sound and Vibration 258 2002 649 676
    • (2002) Journal of Sound and Vibration , vol.258 , pp. 649-676
    • Touzé, C.1    Thomas, O.2    Chaigne, A.3
  • 13
    • 0042383082 scopus 로고    scopus 로고
    • Asymmetric non-linear forced vibrations of free-edge circular plates. Part II: Experiments
    • O. Thomas, C. Touzé, and A. Chaigne Asymmetric non-linear forced vibrations of free-edge circular plates. Part II: experiments Journal of Sound and Vibration 265 2003 1075 1101
    • (2003) Journal of Sound and Vibration , vol.265 , pp. 1075-1101
    • Thomas, O.1    Touzé, C.2    Chaigne, A.3
  • 14
    • 0025536253 scopus 로고
    • Global bifurcation and chaos in parametrically forced systems with one-one resonance
    • Z.C. Feng, and P.R. Sethna Global bifurcation and chaos in parametrically forced systems with one-one resonance Dynamics and Stability of Systems 5 1990 201 225
    • (1990) Dynamics and Stability of Systems , vol.5 , pp. 201-225
    • Feng, Z.C.1    Sethna, P.R.2
  • 15
    • 0025722077 scopus 로고
    • Local and global bifurcations in the parametrically excited vibrations of nearly square plate
    • X.L. Yang, and P.R. Sethna Local and global bifurcations in the parametrically excited vibrations of nearly square plate International Journal of Non-linear Mechanics 26 1991 199 220
    • (1991) International Journal of Non-linear Mechanics , vol.26 , pp. 199-220
    • Yang, X.L.1    Sethna, P.R.2
  • 16
    • 0026873032 scopus 로고
    • Non-linear phenomena in forced vibrations of a nearly square plate: Antisymmetric case
    • X.L. Yang, and P.R. Sethna Non-linear phenomena in forced vibrations of a nearly square plate: antisymmetric case Journal of Sound and Vibration 155 1992 413 441
    • (1992) Journal of Sound and Vibration , vol.155 , pp. 413-441
    • Yang, X.L.1    Sethna, P.R.2
  • 17
    • 0002307231 scopus 로고
    • Orbit homoclinic to resonances, with an application to chaos in a model of the forced and damped Sine-Gordon equation
    • G. Kovai, and S. Wiggins Orbit homoclinic to resonances, with an application to chaos in a model of the forced and damped Sine-Gordon equation Physica D 57 1992 185 225
    • (1992) Physica D , vol.57 , pp. 185-225
    • Kovai, G.1    Wiggins, S.2
  • 18
    • 0027644984 scopus 로고
    • Global bifurcations in the motion of parametrically excited thin plates
    • Z.C. Feng, and P.R. Sethna Global bifurcations in the motion of parametrically excited thin plates Nonlinear Dynamics 4 1993 389 408
    • (1993) Nonlinear Dynamics , vol.4 , pp. 389-408
    • Feng, Z.C.1    Sethna, P.R.2
  • 21
    • 0029342440 scopus 로고
    • Global bifurcations in externally excited two-degree-of-freedom nonlinear systems
    • N. Malhotra, and N. Sri Namachchivaya Global bifurcations in externally excited two-degree-of-freedom nonlinear systems Nonlinear Dynamics 8 1995 85 109
    • (1995) Nonlinear Dynamics , vol.8 , pp. 85-109
    • Malhotra, N.1    Sri Namachchivaya, N.2
  • 22
    • 0034158759 scopus 로고    scopus 로고
    • Global bifurcations in parametrically excited systems with zero-to-one internal resonance
    • Z.C. Feng, and K.M. Liew Global bifurcations in parametrically excited systems with zero-to-one internal resonance Nonlinear Dynamics 21 2000 249 263
    • (2000) Nonlinear Dynamics , vol.21 , pp. 249-263
    • Feng, Z.C.1    Liew, K.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.