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Volumn 197, Issue 1, 1996, Pages 117-130

On the calculation of non-linear normal modes in continuous systems

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BEAMS AND GIRDERS; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CALCULATIONS; EIGENVALUES AND EIGENFUNCTIONS; FOUNDATIONS; HARMONIC ANALYSIS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES;

EID: 0030263881     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0520     Document Type: Editorial
Times cited : (19)

References (32)
  • 1
    • 0026420003 scopus 로고
    • Non-linear normal modes and invariant manifolds
    • S. W. SHAW and C. PIERRE 1991 Journal of Sound and Vibration 150, 170-173. Non-linear normal modes and invariant manifolds.
    • (1991) Journal of Sound and Vibration , vol.150 , pp. 170-173
    • Shaw, S.W.1    Pierre, C.2
  • 2
    • 0027911991 scopus 로고
    • Normal modes for non-linear vibratory systems
    • S. W. SHAW and C. PIERRE 1993 Journal of Sound and Vibration 164, 85-121. Normal modes for non-linear vibratory systems.
    • (1993) Journal of Sound and Vibration , vol.164 , pp. 85-121
    • Shaw, S.W.1    Pierre, C.2
  • 3
    • 0028203123 scopus 로고
    • Normal modes of vibration for non-linear continuous systems
    • S. W. SHAW and C. PIERRE 1994 Journal of Sound and Vibration 169, 319-347. Normal modes of vibration for non-linear continuous systems.
    • (1994) Journal of Sound and Vibration , vol.169 , pp. 319-347
    • Shaw, S.W.1    Pierre, C.2
  • 4
    • 85137266922 scopus 로고
    • The effect of an axial force on the vibration of hinged bars
    • S. WOINOWSKY-KREIGER 1950 Journal of Applied Mechanics 17, 35-36. The effect of an axial force on the vibration of hinged bars.
    • (1950) Journal of Applied Mechanics , vol.17 , pp. 35-36
    • Woinowsky-Kreiger, S.1
  • 5
    • 85137275388 scopus 로고
    • Free vibrations of a pin ended column with constant distance between pin ends
    • D. BURGREEN 1951 Journal of Applied Mechanics 18, 135-139. Free vibrations of a pin ended column with constant distance between pin ends.
    • (1951) Journal of Applied Mechanics , vol.18 , pp. 135-139
    • Burgreen, D.1
  • 8
    • 85024599513 scopus 로고
    • Large-amplitude free vibrations of a beam
    • H. WAGNER 1965 Journal of Applied Mechanics 32, 887-892. Large-amplitude free vibrations of a beam.
    • (1965) Journal of Applied Mechanics , vol.32 , pp. 887-892
    • Wagner, H.1
  • 9
    • 0014796364 scopus 로고
    • Non-linear vibrations of a beam under harmonic excitation
    • W. Y. TSENG and J. DUGUNDJI 1970 Journal of Applied Mechanics 37, 292-297. Non-linear vibrations of a beam under harmonic excitation.
    • (1970) Journal of Applied Mechanics , vol.37 , pp. 292-297
    • Tseng, W.Y.1    Dugundji, J.2
  • 12
    • 0015603779 scopus 로고
    • Non-linear vibrations of a hinged beam including non-linear inertia effects
    • S. ATLURI 1973 Journal of Applied Mechanics 40, 121-126. Non-linear vibrations of a hinged beam including non-linear inertia effects.
    • (1973) Journal of Applied Mechanics , vol.40 , pp. 121-126
    • Atluri, S.1
  • 15
    • 0016966913 scopus 로고
    • Non-linear forced vibrations of a beam carrying concentrated mass under gravity
    • H. SAITO, K. SATO and T. YUTANI 1976 Journal of Sound and Vibration 46, 515-525. Non-linear forced vibrations of a beam carrying concentrated mass under gravity.
    • (1976) Journal of Sound and Vibration , vol.46 , pp. 515-525
    • Saito, H.1    Sato, K.2    Yutani, T.3
  • 16
    • 0018784654 scopus 로고
    • Non-linear free vibrations of inextensible beams
    • K. TAKAHASHI 1979 Journal of Sound and Vibration 64, 31-34. Non-linear free vibrations of inextensible beams.
    • (1979) Journal of Sound and Vibration , vol.64 , pp. 31-34
    • Takahashi, K.1
  • 17
    • 0019319558 scopus 로고
    • Non-linear vibrations of a clamped beam with initial deflection and initial axial displacement - Part I. Theory
    • N. YAMAKI and A. MORI 1980 Journal of Sound and Vibration 71, 333-346. Non-linear vibrations of a clamped beam with initial deflection and initial axial displacement - Part I. Theory.
    • (1980) Journal of Sound and Vibration , vol.71 , pp. 333-346
    • Yamaki, N.1    Mori, A.2
  • 18
  • 19
    • 0021295488 scopus 로고
    • Dynamic stability for a simply supported beam under periodic axial excitation
    • J. S. HUANG and L. H. HUNG 1984 International Journal of Non-Linear Mechanics 19, 287-301. Dynamic stability for a simply supported beam under periodic axial excitation.
    • (1984) International Journal of Non-linear Mechanics , vol.19 , pp. 287-301
    • Huang, J.S.1    Hung, L.H.2
  • 20
    • 0023983372 scopus 로고
    • On the threshold force for chaotic motions for a forced buckled beam
    • D. M. TANG and E. H. DOWELL 1988 Journal of Applied Mechanics 55, 190-196. On the threshold force for chaotic motions for a forced buckled beam.
    • (1988) Journal of Applied Mechanics , vol.55 , pp. 190-196
    • Tang, D.M.1    Dowell, E.H.2
  • 21
    • 0024281322 scopus 로고
    • Non-linear vibrations of beams with elastically restrained edges
    • W. H. LIU, H. S. KOU and F. S. YANG 1988 Journal of Sound and Vibration 121, 375-381. Non-linear vibrations of beams with elastically restrained edges.
    • (1988) Journal of Sound and Vibration , vol.121 , pp. 375-381
    • Liu, W.H.1    Kou, H.S.2    Yang, F.S.3
  • 22
    • 0024052699 scopus 로고
    • Chaotic dynamics of a slender beam rotating about its longitudinal axis
    • S. W. SHAW 1988 Journal of Sound and Vibration 124, 329-343. Chaotic dynamics of a slender beam rotating about its longitudinal axis.
    • (1988) Journal of Sound and Vibration , vol.124 , pp. 329-343
    • Shaw, S.W.1
  • 23
    • 0024865382 scopus 로고
    • The non-linear response of a slender beam carrying a lumped mass to a principal parametric excitation: Theory and experiment
    • L. D. ZAVODNEY and A. H. NAYFEH 1989 International Journal of Non-line or Mechanics 24, 105-125. The non-linear response of a slender beam carrying a lumped mass to a principal parametric excitation: theory and experiment.
    • (1989) International Journal of Non-line or Mechanics , vol.24 , pp. 105-125
    • Zavodney, L.D.1    Nayfeh, A.H.2
  • 24
    • 0024965101 scopus 로고
    • Non-resonant non-linear free motions of inextensional non-compact beams
    • A. LUNONGO, G. REGA and F. VESTRONI 1989 Journal of Sound and Vibration 134, 73-86. Non-resonant non-linear free motions of inextensional non-compact beams.
    • (1989) Journal of Sound and Vibration , vol.134 , pp. 73-86
    • Lunongo, A.1    Rega, G.2    Vestroni, F.3
  • 25
    • 0021758053 scopus 로고
    • The effects of large vibration amplitudes on the fundamental mode shape of a clamped-clamped uniform beam
    • M. M. BENNOUNA and R. G. WHITE 1984 Journal of Sound and Vibration 96, 309-331. The effects of large vibration amplitudes on the fundamental mode shape of a clamped-clamped uniform beam.
    • (1984) Journal of Sound and Vibration , vol.96 , pp. 309-331
    • Bennouna, M.M.1    White, R.G.2
  • 27
    • 0026419989 scopus 로고
    • The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures - Part I. Simply supported and clamped-clamped beams
    • R. BENAMAR, M. M. BENNOUNA and R. G. WHITE 1991 Journal of Sound and Vibration 149, 179-195. The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures - part I. Simply supported and clamped-clamped beams.
    • (1991) Journal of Sound and Vibration , vol.149 , pp. 179-195
    • Benamar, R.1    Bennouna, M.M.2    White, R.G.3
  • 29
    • 0020497754 scopus 로고
    • "Non-linear normal modes" and the generalized Ritz method in the problems of vibrations of non-linear elastic continuous systems
    • W. SZEMPLINSKA-STUPNICKA 1983 International Journal of Non-Linear Mechanics 18, 149-165. "Non-linear normal modes" and the generalized Ritz method in the problems of vibrations of non-linear elastic continuous systems.
    • (1983) International Journal of Non-linear Mechanics , vol.18 , pp. 149-165
    • Szemplinska-Stupnicka, W.1
  • 30
    • 0023647909 scopus 로고
    • Application of the ritz method to the analysis of non-linear free vibrations of beams
    • R. LEWANDOWSKI 1987 Journal of Sound and Vibration 114, 91-101. Application of the Ritz method to the analysis of non-linear free vibrations of beams.
    • (1987) Journal of Sound and Vibration , vol.114 , pp. 91-101
    • Lewandowski, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.