메뉴 건너뛰기




Volumn 41, Issue 20, 2004, Pages 5565-5594

Nonlinear normal modes of structural systems via asymptotic approach

Author keywords

Asymptotics; Method of multiple scales; Model reduction; Nonlinear beam; Nonlinear normal modes; Structural dynamics

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; ELASTIC MODULI; RESONANCE; STIFFNESS MATRIX; STRETCHING;

EID: 3943076520     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.04.029     Document Type: Article
Times cited : (56)

References (22)
  • 2
    • 0028461550 scopus 로고
    • An energy-based formulation for computing nonlinear normal modes in undamped continuous systems
    • King M.E., Vakakis A.F. An energy-based formulation for computing nonlinear normal modes in undamped continuous systems. Journal of Vibration and Acoustics. 116:1993;332-340.
    • (1993) Journal of Vibration and Acoustics , vol.116 , pp. 332-340
    • King, M.E.1    Vakakis, A.F.2
  • 3
    • 0001313559 scopus 로고    scopus 로고
    • An energy-based approach to computing resonant nonlinear normal modes
    • King M.E., Vakakis A.F. An energy-based approach to computing resonant nonlinear normal modes. Journal of Applied Mechanics. 63:1996;810-819.
    • (1996) Journal of Applied Mechanics , vol.63 , pp. 810-819
    • King, M.E.1    Vakakis, A.F.2
  • 4
    • 0037411958 scopus 로고    scopus 로고
    • Resonant nonlinear normal modes. Part II: Activation/orthogonality conditions for shallow structural systems
    • Lacarbonara W., Rega G. Resonant nonlinear normal modes. Part II: Activation/orthogonality conditions for shallow structural systems. International Journal of Non-Linear Mechanics. 38:2003;873-887.
    • (2003) International Journal of Non-linear Mechanics , vol.38 , pp. 873-887
    • Lacarbonara, W.1    Rega, G.2
  • 5
    • 0037411955 scopus 로고    scopus 로고
    • Resonant nonlinear normal modes. Part I: Analytical treatment for structural one-dimensional systems
    • Lacarbonara W., Rega G., Nayfeh A.H. Resonant nonlinear normal modes. Part I: Analytical treatment for structural one-dimensional systems. International Journal of Non-Linear Mechanics. 38:2003;851-872.
    • (2003) International Journal of Non-linear Mechanics , vol.38 , pp. 851-872
    • Lacarbonara, W.1    Rega, G.2    Nayfeh, A.H.3
  • 7
    • 0029402739 scopus 로고
    • On direct methods for constructing nonlinear normal modes of continuous systems
    • Nayfeh A.H. On direct methods for constructing nonlinear normal modes of continuous systems. Journal of Vibration and Control. 1:1995;389-430.
    • (1995) Journal of Vibration and Control , vol.1 , pp. 389-430
    • Nayfeh, A.H.1
  • 9
    • 0029292406 scopus 로고
    • Nonlinear normal modes of a continuous system with quadratic nonlinearities
    • Nayfeh A.H., Nayfeh S.A. Nonlinear normal modes of a continuous system with quadratic nonlinearities. Journal of Vibration and Acoustics. 117:1995;199-205.
    • (1995) Journal of Vibration and Acoustics , vol.117 , pp. 199-205
    • Nayfeh, A.H.1    Nayfeh, S.A.2
  • 11
    • 0032655393 scopus 로고    scopus 로고
    • Nonlinear normal modes of buckled beams: Three-to-one and one-to-one internal resonances
    • Nayfeh A.H., Lacarbonara W., Chin C.-M. Nonlinear normal modes of buckled beams: three-to-one and one-to-one internal resonances. Nonlinear Dynamics. 18:1999;253-273.
    • (1999) Nonlinear Dynamics , vol.18 , pp. 253-273
    • Nayfeh, A.H.1    Lacarbonara, W.2    Chin, C.-M.3
  • 12
    • 0000404054 scopus 로고
    • Free vibrations of a thin elastica by normal modes
    • Pak C., Rand R.H., Moon F.C. Free vibrations of a thin elastica by normal modes. Nonlinear Dynamics. 3:1992;347-364.
    • (1992) Nonlinear Dynamics , vol.3 , pp. 347-364
    • Pak, C.1    Rand, R.H.2    Moon, F.C.3
  • 13
    • 0035410005 scopus 로고    scopus 로고
    • Nonlinear modal analysis of structural systems using multi-mode invariant manifolds
    • Pesheck E., Boivin N., Pierre C., Shaw S.W. Nonlinear modal analysis of structural systems using multi-mode invariant manifolds. Nonlinear Dynamics. 25:2001;183-205.
    • (2001) Nonlinear Dynamics , vol.25 , pp. 183-205
    • Pesheck, E.1    Boivin, N.2    Pierre, C.3    Shaw, S.W.4
  • 14
    • 0001213074 scopus 로고
    • The normal modes of nonlinear n -degree-of-freedom systems
    • Rosenberg R.M. The normal modes of nonlinear. n -degree-of-freedom systems Journal of Applied Mechanics. 30:1962;7-14.
    • (1962) Journal of Applied Mechanics , vol.30 , pp. 7-14
    • Rosenberg, R.M.1
  • 15
    • 33645049419 scopus 로고
    • On nonlinear vibrations of systems with many degrees of freedom
    • Rosenberg R.M. On nonlinear vibrations of systems with many degrees of freedom. Advances in Applied Mechanics. 9:1966;155-242.
    • (1966) Advances in Applied Mechanics , vol.9 , pp. 155-242
    • Rosenberg, R.M.1
  • 17
    • 0001394731 scopus 로고
    • Bifurcation of nonlinear normal modes in a class of two degree of freedom systems
    • Rand R.H., Pak C.H., Vakakis A.F. Bifurcation of nonlinear normal modes in a class of two degree of freedom systems. Acta Mechanica. 3:1992;129-146.
    • (1992) Acta Mechanica , vol.3 , pp. 129-146
    • Rand, R.H.1    Pak, C.H.2    Vakakis, A.F.3
  • 18
    • 0026420003 scopus 로고
    • Non-linear normal modes and invariant manifolds
    • Shaw S.W., Pierre C. Non-linear normal modes and invariant manifolds. Journal of Sound and Vibration. 150:1991;170-173.
    • (1991) Journal of Sound and Vibration , vol.150 , pp. 170-173
    • Shaw, S.W.1    Pierre, C.2
  • 19
    • 0027911991 scopus 로고
    • Normal modes for non-linear vibratory systems
    • Shaw S.W., Pierre C. Normal modes for non-linear vibratory systems. Journal of Sound and Vibration. 164:1993;85-124.
    • (1993) Journal of Sound and Vibration , vol.164 , pp. 85-124
    • Shaw, S.W.1    Pierre, C.2
  • 20
    • 0028203123 scopus 로고
    • Normal modes of vibration for non-linear continuous systems
    • Shaw S.W., Pierre C. Normal modes of vibration for non-linear continuous systems. Journal of Sound and Vibration. 169:1994;319-347.
    • (1994) Journal of Sound and Vibration , vol.169 , pp. 319-347
    • Shaw, S.W.1    Pierre, C.2
  • 21
    • 0026923335 scopus 로고
    • Normal modes and global dynamics of a two-degree-of-freedom non-linear system-I. Low energies
    • Vakakis A.F., Rand R.H. Normal modes and global dynamics of a two-degree-of-freedom non-linear system-I. Low energies. International Journal of Non-Linear Mechanics. 27:1992;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.