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Volumn 455, Issue 1981, 1999, Pages 125-140

Arnold tongues and mo de-jump ing in the supercritical post-buckling of an archetypal elastic structure

Author keywords

Bifurcation; Compound branching; Elastic plates; Energy methods; Numerical continuation; Secondary buckling

Indexed keywords


EID: 0007417740     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0305     Document Type: Article
Times cited : (32)

References (17)
  • 2
    • 0000071902 scopus 로고
    • Small denominators. I. Mappings of the circumference onto itself
    • Arnold, V. I. 1965 Small denominators. I. Mappings of the circumference onto itself. Am. Math. Soc. Transi. 46, 213-284.
    • (1965) Am. Math. Soc. Transi. , vol.46 , pp. 213-284
    • Arnold, V.I.1
  • 3
    • 33746703799 scopus 로고    scopus 로고
    • A multiplicity of localized buckling modes for twisted rod equations
    • Champneys, A. R. & Thompson, J. M. T. 1996 A multiplicity of localized buckling modes for twisted rod equations. Proc. R. Soc. Lond. A 452, 2467-2491.
    • (1996) Proc. R. Soc. Lond. A , vol.452 , pp. 2467-2491
    • Champneys, A.R.1    Thompson, J.M.T.2
  • 4
    • 36149031023 scopus 로고
    • Bifurcation of a plethora of large amplitude homoclinic orbits for Hamiltonian systems
    • Champneys, A. R. & Toland, J. F. 1993 Bifurcation of a plethora of large amplitude homoclinic orbits for Hamiltonian systems. Nonlinearity 6, 665-721.
    • (1993) Nonlinearity , vol.6 , pp. 665-721
    • Champneys, A.R.1    Toland, J.F.2
  • 6
    • 0003263144 scopus 로고
    • Singularities and groups in bifurcation theory
    • New York: Springer.
    • Golubitsky, M. & Schaeffer, D. G. 1984 Singularities and groups in bifurcation theory. Applied Mathematical Sciences, vol. 51. New York: Springer.
    • (1984) Applied Mathematical Sciences , vol.51
    • Golubitsky, M.1    Schaeffer, D.G.2
  • 7
    • 0000925235 scopus 로고
    • Comparative Lagrangian formulations for localized buckling
    • Hunt, G. W. & Wadee, M. K. 1991 Comparative Lagrangian formulations for localized buckling. Proc. R. Soc. Lond. A 434, 485-502.
    • (1991) Proc. R. Soc. Lond. A , vol.434 , pp. 485-502
    • Hunt, G.W.1    Wadee, M.K.2
  • 8
    • 0007859149 scopus 로고
    • Structural localization phenomena and the dynamical phase-space analogy
    • Hunt, G. W., Bolt, H. M. & Thompson, J. M. T. 1989 Structural localization phenomena and the dynamical phase-space analogy. Proc. R. Soc. Lond. A 425, 245-267.
    • (1989) Proc. R. Soc. Lond. A , vol.425 , pp. 245-267
    • Hunt, G.W.1    Bolt, H.M.2    Thompson, J.M.T.3
  • 9
    • 3142520144 scopus 로고    scopus 로고
    • Computation of localized post-buckling in long axially compressed cylindrical shells
    • Lord, G. L., Champneys, A. R. & Hunt, G. W. 1997 Computation of localized post-buckling in long axially compressed cylindrical shells. Phil. Trans. R. Soc. Lond. A 355, 2137-2150.
    • (1997) Phil. Trans. R. Soc. Lond. A , vol.355 , pp. 2137-2150
    • Lord, G.L.1    Champneys, A.R.2    Hunt, G.W.3
  • 10
    • 0026624492 scopus 로고
    • Mode jumping in biaxially compressed plates
    • Maaskant, R. & Roorda, J. 1992 Mode jumping in biaxially compressed plates. Int. J. Solids Struct. 29, 1209-1219
    • (1992) Int. J. Solids Struct. , vol.29 , pp. 1209-1219
    • Maaskant, R.1    Roorda, J.2
  • 12
    • 0020862906 scopus 로고
    • Amplitude modulation, phase modulation and localization of buckling patterns
    • ed. J. M. T. Thompson & G. W. Hunt. Cambridge University Press.
    • Potier-Ferry, M. 1983 Amplitude modulation, phase modulation and localization of buckling patterns. In Collapse: the buckling of structures in theory and practice (ed. J. M. T. Thompson & G. W. Hunt). Cambridge University Press.
    • (1983) In Collapse: the Buckling of Structures in Theory and Practice
    • Potier-Ferry, M.1
  • 13
    • 0002649156 scopus 로고
    • Coupled branching configurations in the elastic buckling of symmetric structural systems
    • Supple, W. J. 1967 Coupled branching configurations in the elastic buckling of symmetric structural systems. Int. J. Mech. Sei. 9, 97-112.
    • (1967) Int. J. Mech. Sei. , vol.9 , pp. 97-112
    • Supple, W.J.1
  • 16
    • 0003595281 scopus 로고
    • Nonlinear dynamics and chaos: Geometrical methods for engineers and scientists
    • Thompson, J. M. T. & Stewart, H. B. 1986 Nonlinear dynamics and chaos: geometrical methods for engineers and scientists. Chichester: Wiley.
    • (1986) Chichester: Wiley.
    • Thompson, J.M.T.1    Stewart, H.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.