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Volumn 40, Issue 5, 2005, Pages 729-746

The construction of non-linear normal modes for systems with internal resonance

Author keywords

Internal resonance; Invariant manifold; Non linear normal mode

Indexed keywords

COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; EQUATIONS OF MOTION; GALERKIN METHODS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; TIME DOMAIN ANALYSIS;

EID: 13544274198     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2004.08.010     Document Type: Article
Times cited : (76)

References (21)
  • 1
    • 33645049419 scopus 로고
    • On nonlinear vibrations of systems with many degrees of freedom
    • R.M. Rosenberg On nonlinear vibrations of systems with many degrees of freedom Adv. Appl. Mech. 9 1966 155 242
    • (1966) Adv. Appl. Mech. , vol.9 , pp. 155-242
    • Rosenberg, R.M.1
  • 2
    • 0000809158 scopus 로고
    • A direct method for non-linear normal modes
    • R.H. Rand A direct method for non-linear normal modes Int. J. Non-Linear Mech. 9 1974 363 368
    • (1974) Int. J. Non-Linear Mech. , vol.9 , pp. 363-368
    • Rand, R.H.1
  • 3
    • 0001394731 scopus 로고
    • Bifurcation of nonlinear normal modes in a class of two degree of freedom systems
    • R.H. Rand, C.H. Pak, and A.F. Vakakis Bifurcation of nonlinear normal modes in a class of two degree of freedom systems Acta Mech. 3 1992 129 146
    • (1992) Acta Mech. , vol.3 , pp. 129-146
    • Rand, R.H.1    Pak, C.H.2    Vakakis, A.F.3
  • 4
    • 0028197991 scopus 로고
    • On nonlinear modes of continuous systems
    • A.H. Nayfeh, and S.A. Nayfeh On nonlinear modes of continuous systems J. Vib. Acoust. 116 1994 129 136
    • (1994) J. Vib. Acoust. , vol.116 , pp. 129-136
    • Nayfeh, A.H.1    Nayfeh, S.A.2
  • 5
    • 0029292406 scopus 로고
    • Nonlinear normal modes of a continuous system with quadratic nonlinearities
    • A.H. Nayfeh, and S.A. Nayfeh Nonlinear normal modes of a continuous system with quadratic nonlinearities J. Vib. Acoust. 117 1995 199 205
    • (1995) J. Vib. Acoust. , vol.117 , pp. 199-205
    • Nayfeh, A.H.1    Nayfeh, S.A.2
  • 6
    • 0032655393 scopus 로고    scopus 로고
    • Nonlinear normal modes of buckled beams: Three-to-one and one-to-one internal resonances
    • A.H. Nayfeh, W. Lacarbonara, and C. Chin Nonlinear normal modes of buckled beams three-to-one and one-to-one internal resonances Nonlinear Dynam. 18 1999 253 273
    • (1999) Nonlinear Dynam. , vol.18 , pp. 253-273
    • Nayfeh, A.H.1    Lacarbonara, W.2    Chin, C.3
  • 7
    • 0028461550 scopus 로고
    • An energy-based formulation for computing nonlinear normal modes in undamped continuous systems
    • M.E. King, and A.F. Vakakis An energy-based formulation for computing nonlinear normal modes in undamped continuous systems J. Vib. Acoust. 116 1994 332 340
    • (1994) J. Vib. Acoust. , vol.116 , pp. 332-340
    • King, M.E.1    Vakakis, A.F.2
  • 8
    • 0001313559 scopus 로고    scopus 로고
    • An energy-based approach to computing resonant nonlinear normal modes
    • M.E. King, and A.F. Vakakis An energy-based approach to computing resonant nonlinear normal modes ASME J. Appl. Mech. 63 1996 810 819
    • (1996) ASME J. Appl. Mech. , vol.63 , pp. 810-819
    • King, M.E.1    Vakakis, A.F.2
  • 9
    • 0026923335 scopus 로고
    • Normal modes and global dynamics of a two-degree-of-freedom non-linear system-i. low energies
    • A.F. Vakakis, and R.H. Rand Normal modes and global dynamics of a two-degree-of-freedom non-linear system-i. low energies Int. J. Non-Linear Mech. 27 1992 861 874
    • (1992) Int. J. Non-Linear Mech. , vol.27 , pp. 861-874
    • Vakakis, A.F.1    Rand, R.H.2
  • 10
    • 0027911991 scopus 로고
    • Normal modes for non-linear vibratory systems
    • S.W. Shaw, and C. Pierre Normal modes for non-linear vibratory systems J. Sound Vib. 164 1 1993 85 124
    • (1993) J. Sound Vib. , vol.164 , Issue.1 , pp. 85-124
    • Shaw, S.W.1    Pierre, C.2
  • 11
    • 0028203123 scopus 로고
    • Normal modes of vibration for non-linear continuous systems
    • S.W. Shaw, and C. Pierre Normal modes of vibration for non-linear continuous systems J. Sound Vib. 169 3 1993 319 347
    • (1993) J. Sound Vib. , vol.169 , Issue.3 , pp. 319-347
    • Shaw, S.W.1    Pierre, C.2
  • 12
    • 0029402739 scopus 로고
    • On direct methods for constructing nonlinear normal modes of continuous systems
    • A.H. Nayfeh On direct methods for constructing nonlinear normal modes of continuous systems J. Vib. Control 1 1995 389 430
    • (1995) J. Vib. Control , vol.1 , pp. 389-430
    • Nayfeh, A.H.1
  • 15
    • 0037474503 scopus 로고    scopus 로고
    • A new galerkin-based approach for accurate nonlinear normal modes through invariant manifolds
    • E. Pesheck, C. Pierre, and S.W. Shaw A new galerkin-based approach for accurate nonlinear normal modes through invariant manifolds J. Sound Vib. 249 5 2002 971 993
    • (2002) J. Sound Vib. , vol.249 , Issue.5 , pp. 971-993
    • Pesheck, E.1    Pierre, C.2    Shaw, S.W.3
  • 16
    • 2142657195 scopus 로고    scopus 로고
    • Large-amplitude non-linear normal modes of piecewise linear systems
    • D. Jiang, C. Pierre, and S.W. Shaw Large-amplitude non-linear normal modes of piecewise linear systems J. Sound Vib. 272 2004 869 891
    • (2004) J. Sound Vib. , vol.272 , pp. 869-891
    • Jiang, D.1    Pierre, C.2    Shaw, S.W.3
  • 17
    • 77956186192 scopus 로고    scopus 로고
    • Nonlinear normal modes of a rotating shaft based on the invariant manifold method
    • M. Legrand, D. Jiang, C. Pierre, and S.W. Shaw Nonlinear normal modes of a rotating shaft based on the invariant manifold method Int. J. Rotating Mach. 10 2004 1 17
    • (2004) Int. J. Rotating Mach. , vol.10 , pp. 1-17
    • Legrand, M.1    Jiang, D.2    Pierre, C.3    Shaw, S.W.4
  • 18
    • 0036554811 scopus 로고    scopus 로고
    • Model reduction of a nonlinear rotating beam through nonlinear normal modes
    • E. Pesheck, C. Pierre, and S.W. Shaw Model reduction of a nonlinear rotating beam through nonlinear normal modes ASME J. Vib. Acoust. 124 2 2002 229 236
    • (2002) ASME J. Vib. Acoust. , vol.124 , Issue.2 , pp. 229-236
    • Pesheck, E.1    Pierre, C.2    Shaw, S.W.3
  • 19
    • 0030193842 scopus 로고    scopus 로고
    • On nonlinear normal modes of systems with internal resonance
    • A.H. Nayfeh, C. Chin, and S.A. Nayfeh On nonlinear normal modes of systems with internal resonance ASME J. Vib. Acoust. 118 1996 340 345
    • (1996) ASME J. Vib. Acoust. , vol.118 , pp. 340-345
    • Nayfeh, A.H.1    Chin, C.2    Nayfeh, S.A.3
  • 21
    • 0037333828 scopus 로고    scopus 로고
    • Finite-element-based nonlinear modal reduction of a rotating beam with large-amplitude motion
    • P. Apiwattanalunggarn, S.W. Shaw, C. Pierre, and D. Jiang Finite-element-based nonlinear modal reduction of a rotating beam with large-amplitude motion J. Vib. Control 9 2003 235 263
    • (2003) J. Vib. Control , vol.9 , pp. 235-263
    • Apiwattanalunggarn, P.1    Shaw, S.W.2    Pierre, C.3    Jiang, D.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.