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Volumn 11, Issue 1, 1996, Pages 17-36

Coupling between high-frequency modes and a low-frequency mode: Theory and experiment

Author keywords

Energy transfer; Internal resonance; Widely separated natural frequencies

Indexed keywords

BEAMS AND GIRDERS; DAMPING; DYNAMIC RESPONSE; FREQUENCY MODULATION; MATHEMATICAL MODELS; NATURAL FREQUENCIES; OSCILLATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RESONANCE;

EID: 0030230445     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00045049     Document Type: Article
Times cited : (56)

References (27)
  • 2
    • 85024523123 scopus 로고
    • Modal interactions in dynamical and structural systems
    • 1989
    • Nayfeh, A. H. and Balachandran, B., 1989, 'Modal interactions in dynamical and structural systems', Applied Mechanics Reviews 42, 1989, S175-S201.
    • (1989) Applied Mechanics Reviews , vol.42
    • Nayfeh, A.H.1    Balachandran, B.2
  • 3
    • 0024860195 scopus 로고
    • Non-linear non-planar parametric response of an inextensional beam
    • Nayfeh, A. H. and Pai, P. F., 'Non-linear non-planar parametric response of an inextensional beam', International Journal of Non-Linear Mechanics 24, 1989, 139-158.
    • (1989) International Journal of Non-Linear Mechanics , vol.24 , pp. 139-158
    • Nayfeh, A.H.1    Pai, P.F.2
  • 4
    • 0018162077 scopus 로고
    • Nonlinear flexural-flexural-torsional dynamics of inextensional beams - I. Equations of motion
    • Crespo da Silva, M. R. M. and Glynn, C. C., 'Nonlinear flexural-flexural-torsional dynamics of inextensional beams - I. Equations of motion', Journal of Structural Mechanics 6, 1978a, 437-448.
    • (1978) Journal of Structural Mechanics , vol.6 , pp. 437-448
    • Crespo Da Silva, M.R.M.1    Glynn, C.C.2
  • 5
    • 0018152531 scopus 로고
    • Nonlinear flexural-flexural-torsional dynamics of inextensional beams - II. Forced motions
    • Crespo da Silva, M. R. M. and Glynn, C. C., 'Nonlinear flexural-flexural-torsional dynamics of inextensional beams - II. Forced motions', Journal of Structural Mechanics 6, 1978b, 449-461.
    • (1978) Journal of Structural Mechanics , vol.6 , pp. 449-461
    • Crespo Da Silva, M.R.M.1    Glynn, C.C.2
  • 6
    • 0003282964 scopus 로고
    • Three-dimensional nonlinear vibrations of composite beams - I. Equations of motion
    • Pai, P. F. and Nayfeh, A. H., 'Three-dimensional nonlinear vibrations of composite beams - I. Equations of motion', Nonlinear Dynamics 1, 1990, 477-502.
    • (1990) Nonlinear Dynamics , vol.1 , pp. 477-502
    • Pai, P.F.1    Nayfeh, A.H.2
  • 7
    • 0003139048 scopus 로고
    • Three-dimensional nonlinear vibrations of composite beams - II. Flapwise excitations
    • Pai, P. F. and Nayfeh, A. H., 'Three-dimensional nonlinear vibrations of composite beams - II. Flapwise excitations', Nonlinear Dynamics 2, 1991, 1-34.
    • (1991) Nonlinear Dynamics , vol.2 , pp. 1-34
    • Pai, P.F.1    Nayfeh, A.H.2
  • 8
    • 0345199871 scopus 로고
    • Three-dimensional nonlinear vibrations of composite beams - III. Chordwise excitations
    • Pai, P. F. and Nayfeh, A. H., 'Three-dimensional nonlinear vibrations of composite beams - III. Chordwise excitations', Nonlinear Dynamics 2, 1991, 137-156.
    • (1991) Nonlinear Dynamics , vol.2 , pp. 137-156
    • Pai, P.F.1    Nayfeh, A.H.2
  • 9
    • 0015662692 scopus 로고
    • Lateral bending-torsion vibrations of a thin beam under parametric excitation
    • Dugundji, J. and Mukhopadhyay, V., 'Lateral bending-torsion vibrations of a thin beam under parametric excitation', Journal of Applied Mechanics 40, 1973, 693-698.
    • (1973) Journal of Applied Mechanics , vol.40 , pp. 693-698
    • Dugundji, J.1    Mukhopadhyay, V.2
  • 12
    • 0012826616 scopus 로고
    • Low dimensional behavior in chaotic nonplanar motions of a forced elastic rod, experiment and theory
    • W. Schiehlen (ed.), Springer-Verlag, Berlin
    • Cusumano, J. P. and Moon, F. C., 'Low dimensional behavior in chaotic nonplanar motions of a forced elastic rod, experiment and theory', in Nonlinear Dynamics in Engineering Systems, W. Schiehlen (ed.), Springer-Verlag, Berlin, 1990, pp. 59-66.
    • (1990) Nonlinear Dynamics in Engineering Systems , pp. 59-66
    • Cusumano, J.P.1    Moon, F.C.2
  • 13
    • 0029204774 scopus 로고
    • Chaotic non-planar vibrations of the thin elastica, Part I: Experimental observation of planar instability
    • Cusumano, J. P. and Moon, F. C., 'Chaotic non-planar vibrations of the thin elastica, Part I: Experimental observation of planar instability', Journal of Sound and Vibration 179, 1995, 185-208.
    • (1995) Journal of Sound and Vibration , vol.179 , pp. 185-208
    • Cusumano, J.P.1    Moon, F.C.2
  • 14
    • 0029196763 scopus 로고
    • Chaotic non-planar vibrations of the thin elastica, Part II: Derivation and analysis of a low-dimensional model
    • 1995b
    • Cusumano, J. P. and Moon, F. C., 1995b, 'Chaotic non-planar vibrations of the thin elastica, Part II: Derivation and analysis of a low-dimensional model', Journal of Sound and Vibration 179, 1995, 209-226.
    • (1995) Journal of Sound and Vibration , vol.179 , pp. 209-226
    • Cusumano, J.P.1    Moon, F.C.2
  • 16
  • 18
    • 0028416269 scopus 로고
    • Energy transfer from high- To low-frequency modes in flexible structures via modulation
    • Nayfeh, S. A. and Nayfeh, A. H., 'Energy transfer from high- to low-frequency modes in flexible structures via modulation', Journal of Vibration and Acoustics 116, 1994, 203-207.
    • (1994) Journal of Vibration and Acoustics , vol.116 , pp. 203-207
    • Nayfeh, S.A.1    Nayfeh, A.H.2
  • 19
    • 0028430159 scopus 로고
    • A fully nonlinear theory of curved and twisted composite rotor blades accounting for warpings and three-dimensional stress effects
    • Pai, P. F. and Nayfeh, A. H., 'A fully nonlinear theory of curved and twisted composite rotor blades accounting for warpings and three-dimensional stress effects', International Journal of Solids and Structures 31(9), 1994, 1309-1340.
    • (1994) International Journal of Solids and Structures , vol.31 , Issue.9 , pp. 1309-1340
    • Pai, P.F.1    Nayfeh, A.H.2
  • 23
    • 48749145669 scopus 로고
    • The dimension of chaotic attractors
    • Farmer, J. D., Ott, E., and Yorke, J. A., The dimension of chaotic attractors', Physica 7D, 1983, 153-180.
    • (1983) Physica , vol.7 D , pp. 153-180
    • Farmer, J.D.1    Ott, E.2    Yorke, J.A.3
  • 27
    • 0008494528 scopus 로고
    • Determining Lyapunov exponents from a time series
    • Wolf, A., Swift, J. B., and Swinney, H. L., 'Determining Lyapunov exponents from a time series', Physica 16D, 1985, 285-317.
    • (1985) Physica , vol.16 D , pp. 285-317
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.