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Volumn 118, Issue 3, 1996, Pages 340-345

On nonlinear normal modes of systems with internal resonance

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DAMPING; DYNAMICS; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; GEOMETRY; NATURAL FREQUENCIES; NONLINEAR SYSTEMS; NUMERICAL METHODS; PERTURBATION TECHNIQUES;

EID: 0030193842     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2888188     Document Type: Article
Times cited : (64)

References (13)
  • 1
    • 0001356311 scopus 로고
    • Persistence and Smoothness of Invariant Manifolds for Flows
    • Fenichel, N., 1971, “Persistence and Smoothness of Invariant Manifolds for Flows,” Indiana University Mathematics Journal, Vol. 21, pp. 193-226.
    • (1971) Indiana University Mathematics Journal , vol.21 , pp. 193-226
    • Fenichel, N.1
  • 2
    • 0007097754 scopus 로고
    • The Stability of Bifurcating Periodic Solutions in a Two-Degree-of-Freedom Nonlinear System
    • Month, L. A., and Rand, R. H., 1977, “The Stability of Bifurcating Periodic Solutions in a Two-Degree-of-Freedom Nonlinear System,” ASME Journal of Applied Mechanics, Vol. 44, pp. 782-784.
    • (1977) ASME Journal of Applied Mechanics , vol.44 , pp. 782-784
    • Month, L.A.1    Rand, R.H.2
  • 8
    • 0001394731 scopus 로고
    • Bifurcation of Nonhnear Normal Modes in a Class of Two Degree of Freedom Systems
    • [Suppl]
    • Rand, R. H., Pak, C. H., and Vakakis, A. F., 1992, “Bifurcation of Nonhnear Normal Modes in a Class of Two Degree of Freedom Systems,” Acta Mechanica, [Suppl] 3, pp. 129-146.
    • (1992) Acta Mechanica , vol.3 , pp. 129-146
    • Rand, R.H.1    Pak, C.H.2    Vakakis, A.F.3
  • 9
    • 33645049419 scopus 로고
    • On Nonlinear Vibrations of Systems with Many Degrees of Freedom
    • Rosenberg, R. M., 1966, “On Nonlinear Vibrations of Systems with Many Degrees of Freedom,” Afivances in Applied Mechanics, Vol. 9, pp. 155-242.
    • (1966) Afivances in Applied Mechanics , vol.9 , pp. 155-242
    • Rosenberg, R.M.1
  • 10
    • 0027911991 scopus 로고
    • Normal Modes for Non-Linear Vibratory Systems
    • Shaw, S. W., and Pierre, C, 1993, “Normal Modes for Non-Linear Vibratory Systems,” Journal of Sound and Vibration, Vol. 164, pp. 85-124.
    • (1993) Journal of Sound and Vibration , vol.164 , pp. 85-124
    • Shaw, S.W.1    Pierre, C.2
  • 12
    • 0000472377 scopus 로고
    • A Theorem on the Exact Nonsimilar Steady-State Motions of a Nonlinear Oscillator
    • Vakakis A. F., and Caughey, T. K., 1992, “A Theorem on the Exact Nonsimilar Steady-State Motions of a Nonlinear Oscillator,” ASME Journal of Applied Mechanics, Vol. 59, pp. 418-424.
    • (1992) ASME Journal of Applied Mechanics , vol.59 , pp. 418-424
    • Vakakis, A.F.1    Caughey, T.K.2
  • 13
    • 0026923335 scopus 로고
    • Normal Modes and Global Dynamics of a Two-Degree-of-Freedom Non-Linear System-I. Low Energies
    • Vakakis, A. F., and Rand, R. H., 1992, “Normal Modes and Global Dynamics of a Two-Degree-of-Freedom Non-Linear System-I. Low Energies,” International Journal of Non-Linear Mechanics, Vol. 27, pp. 861-874.
    • (1992) International Journal of Non-Linear Mechanics , vol.27 , pp. 861-874
    • Vakakis, A.F.1    Rand, R.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.