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Volumn 170, Issue 3-4, 1999, Pages 239-251

Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CYLINDERS (SHAPES); DYNAMIC LOADS; DYNAMIC RESPONSE; NUMERICAL ANALYSIS; SHELLS (STRUCTURES); STRUCTURAL ANALYSIS; STRUCTURAL LOADS;

EID: 0032647267     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00197-2     Document Type: Article
Times cited : (69)

References (34)
  • 1
    • 0004227185 scopus 로고    scopus 로고
    • Ph.D. Thesis, University of Delft
    • W.T. Koiter, On the stability of elastic equilibrium, Ph.D. Thesis, University of Delft. English Translation: Tech. Rep. AFFDL-TR-70-25 Air Force Flight Dyn. Lab. 1970, 1945.
    • On the Stability of Elastic Equilibrium
    • Koiter, W.T.1
  • 2
    • 0039657003 scopus 로고    scopus 로고
    • English Translation
    • W.T. Koiter, On the stability of elastic equilibrium, Ph.D. Thesis, University of Delft. English Translation: Tech. Rep. AFFDL-TR-70-25 Air Force Flight Dyn. Lab. 1970, 1945.
    • Tech. Rep. AFFDL-TR-70-25 Air Force Flight Dyn. Lab. , vol.1970 , pp. 1945
  • 4
    • 0007859149 scopus 로고
    • Structural localisation phenomena and the dynamical phase-space analogy
    • G.W. Hunt, H.M. Bolt and J.M.T. Thompson, Structural localisation phenomena and the dynamical phase-space analogy, Proc. R. Soc. Lond. A 425 (1989) 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
  • 5
    • 0019065124 scopus 로고
    • On the localisation of buckle patterns
    • V. Tvergaard and A. Needleman, On the localisation of buckle patterns, ASME J. Appl. Mech. 47 (1980) 613-619.
    • (1980) ASME J. Appl. Mech. , vol.47 , pp. 613-619
    • Tvergaard, V.1    Needleman, A.2
  • 6
    • 0020862906 scopus 로고
    • Amplitude modulation, phase modulation and localisation of buckle patters
    • J.M.T. Thompson and G.W. Hunt, eds., Cambridge University Press
    • M. Potier-Ferry, Amplitude modulation, phase modulation and localisation of buckle patters, in: J.M.T. Thompson and G.W. Hunt, eds., COLLAPSE: The Buckling of Structures in Theory and Practice (Cambridge University Press, 1983).
    • (1983) COLLAPSE: The Buckling of Structures in Theory and Practice
    • Potier-Ferry, M.1
  • 8
    • 53349120754 scopus 로고    scopus 로고
    • Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system
    • B. Buffoni, A.R. Champneys and J.F. Toland, Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system. J. Dyn. Diff. Eq. 8 (1996) 221-281.
    • (1996) J. Dyn. Diff. Eq. , vol.8 , pp. 221-281
    • Buffoni, B.1    Champneys, A.R.2    Toland, J.F.3
  • 9
    • 43949176143 scopus 로고
    • Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
    • G. Iooss and M.C. Peroueme, Perturbed homoclinic solutions in reversible 1:1 resonance vector fields, J. Diff. Eq. 102 (1993) 62-88.
    • (1993) J. Diff. Eq. , vol.102 , pp. 62-88
    • Iooss, G.1    Peroueme, M.C.2
  • 10
    • 0027659796 scopus 로고
    • Neto, maxwell critical loads for axially-loaded cylindrical shells
    • G.W. Hunt and E. Lucena Neto, Maxwell critical loads for axially-loaded cylindrical shells, ASME J. Appl. Mech. 60(3) (1993) 702-706.
    • (1993) ASME J. Appl. Mech. , vol.60 , Issue.3 , pp. 702-706
    • Hunt, G.W.1    Lucena, E.2
  • 11
    • 0012289535 scopus 로고
    • Hamiltonian and lagrangian flows on center manifolds: With applications to elliptic variational problems
    • Springer-Verlag, Berlin
    • A. Mielke, Hamiltonian and Lagrangian flows on center manifolds: with applications to elliptic variational problems, Lecture Notes in Mathematics; 1489 (Springer-Verlag, Berlin, 1991).
    • (1991) Lecture Notes in Mathematics , vol.1489
    • Mielke, A.1
  • 12
    • 0003270066 scopus 로고
    • Singularities and groups in bifurcation theory
    • Springer-Verlag, Berlin
    • M. Golubitsky and D. Schaeffer, Singularities and Groups in Bifurcation Theory, Vol. 1, Applied Mathematical Sciences; 51 (Springer-Verlag, Berlin, 1985).
    • (1985) Applied Mathematical Sciences , vol.1 , pp. 51
    • Golubitsky, M.1    Schaeffer, D.2
  • 13
    • 0000925235 scopus 로고
    • Comparative lagrangian formulations for localised buckling
    • G.W. Hunt and M.K. Wadee, Comparative Lagrangian formulations for localised buckling, Proc. R. Soc. Lond. A 434 (1991) 485-502.
    • (1991) Proc. R. Soc. Lond. A , vol.434 , pp. 485-502
    • Hunt, G.W.1    Wadee, M.K.2
  • 14
    • 0001229381 scopus 로고
    • Localized buckling in long axially-loaded cylindrical shells
    • G.W. Hunt and E. Lucena Neto, Localized buckling in long axially-loaded cylindrical shells, J. Mech. Phys. Solids 39(7) (1991) 881-894.
    • (1991) J. Mech. Phys. Solids , vol.39 , Issue.7 , pp. 881-894
    • Hunt, G.W.1    Neto, E.L.2
  • 17
    • 3142520144 scopus 로고    scopus 로고
    • Computation of localized post buckling in long axially-compressed cylindrical shells, in: Theme issue on localization and solitary waves in solid mechanics
    • G.J. Lord, A.R. Champneys and G.W. Hunt, Computation of localized post buckling in long axially-compressed cylindrical shells, in: Theme Issue on Localization and Solitary Waves in Solid Mechanics, Phil. Trans. Roy. Soc. Lond. A 355 (1997) 2137-2150.
    • (1997) Phil. Trans. Roy. Soc. Lond. A , vol.355 , pp. 2137-2150
    • Lord, G.J.1    Champneys, A.R.2    Hunt, G.W.3
  • 18
    • 0033295351 scopus 로고    scopus 로고
    • Computation of homoclinic orbits in partial differential equations: An application to cylindrical shell buckling
    • to appear
    • G.J. Lord, A.R. Champneys and G.W. Hunt, Computation of homoclinic orbits in partial differential equations: an application to cylindrical shell buckling, SIAM J. Sci. Comp., to appear.
    • SIAM J. Sci. Comp.
    • Lord, G.J.1    Champneys, A.R.2    Hunt, G.W.3
  • 19
    • 84914748272 scopus 로고
    • Reversible diffeomorphisms and flows
    • R. Devaney, Reversible diffeomorphisms and flows, Trans. Amer. Math. Soc. 218 (1976) 89-113.
    • (1976) Trans. Amer. Math. Soc. , vol.218 , pp. 89-113
    • Devaney, R.1
  • 20
    • 0003349147 scopus 로고
    • The Hamiltonian Hopf bifurcation
    • Springer-Verlag, Berlin
    • J. van der Meer, The Hamiltonian Hopf bifurcation, Lecture Notes in Mathematics, 1160 (Springer-Verlag, Berlin, 1985).
    • (1985) Lecture Notes in Mathematics , vol.1160
    • Van Der Meer, J.1
  • 21
    • 0000654735 scopus 로고    scopus 로고
    • Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
    • A.R. Champneys, Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics, Physica D 112 (1998) 158-186.
    • (1998) Physica D , vol.112 , pp. 158-186
    • Champneys, A.R.1
  • 22
    • 3142624970 scopus 로고    scopus 로고
    • Instability of localised buckling modes in a mode-dimensional strut model
    • B. Sandstede, Instability of localised buckling modes in a mode-dimensional strut model, Phil. Trans. Roy. Soc. Lond. A 355 (1997) 2083-2097.
    • (1997) Phil. Trans. Roy. Soc. Lond. A , vol.355 , pp. 2083-2097
    • Sandstede, B.1
  • 24
    • 0003285244 scopus 로고
    • Nonlinear oscillations, dynamical systems and bifurcations of vector fields
    • Springer-Verlag, New York, USA
    • J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Applied Mathematical Sciences, 42 (Springer-Verlag, New York, USA, 1983).
    • (1983) Applied Mathematical Sciences , vol.42
    • Guckenheimer, J.1    Holmes, P.2
  • 25
    • 0002359029 scopus 로고
    • Successive homoclinic tangencies to a limit cycle
    • P. Hirschberg and C. Laing, Successive homoclinic tangencies to a limit cycle, Physica D 89 (1995) 1-14.
    • (1995) Physica D , vol.89 , pp. 1-14
    • Hirschberg, P.1    Laing, C.2
  • 26
    • 23544455062 scopus 로고    scopus 로고
    • Heteroclinic tangles and home-clinic shaking in the unfolding of a degenerate reversible Hamiltonian Hopf bifurcation
    • submitted
    • P.D. Woods and A.R. Champneys, Heteroclinic tangles and home-clinic shaking in the unfolding of a degenerate reversible Hamiltonian Hopf bifurcation, Physica D, submitted.
    • Physica D
    • Woods, P.D.1    Champneys, A.R.2
  • 27
    • 85137259460 scopus 로고
    • Effect of imperfections on buckling of thin cylinders and columns under axial compression
    • L.H. Donnell and C.C. Wan, Effect of imperfections on buckling of thin cylinders and columns under axial compression, J. Appl. Mech. APM-14(49) (1950) 73-83.
    • (1950) J. Appl. Mech. , Issue.49 , pp. 73-83
    • Donnell, L.H.1    C.c, W.2
  • 28
    • 23544449960 scopus 로고
    • Hochgeschwindigkeitsaufnahmen vom beulvorgang dünnwandiger, axialbelasteter zylinder
    • M. Eßlinger, Hochgeschwindigkeitsaufnahmen vom beulvorgang dünnwandiger, axialbelasteter zylinder, Der Stahlbau (1970).
    • (1970) Der Stahlbau
    • Eßlinger, M.1
  • 29
    • 84856453174 scopus 로고
    • Gerechnete nachbeullasten als untere grenze der experimentallen axialen beullasten von kreiszylindern
    • M. Eßlinger and B. Geier, Gerechnete nachbeullasten als untere grenze der experimentallen axialen beullasten von kreiszylindern, Der Stahlbau (1972).
    • (1972) Der Stahlbau
    • Eßlinger, M.1    Geier, B.2
  • 30
    • 0001340513 scopus 로고
    • The numerical computation of connecting orbits in dynamical systems
    • W.-J. Beyn, The numerical computation of connecting orbits in dynamical systems, IMA J. Numer. Anal. 9 (1990) 379-405.
    • (1990) IMA J. Numer. Anal. , vol.9 , pp. 379-405
    • Beyn, W.-J.1
  • 31
    • 0039064859 scopus 로고    scopus 로고
    • Numerical computation of solitary waves in semilinear elliptic problems on infinite cylinders
    • submitted
    • G.J. Lord, D. Peterhof, B. Sandstede and A. Scheel, Numerical computation of solitary waves in semilinear elliptic problems on infinite cylinders, SIAM J. Numer. Anal., submitted.
    • SIAM J. Numer. Anal.
    • Lord, G.J.1    Peterhof, D.2    Sandstede, B.3    Scheel, A.4
  • 33
    • 0030247003 scopus 로고    scopus 로고
    • On the solution of mode jumping phenomena in thin-walled shell structures
    • E. Riks, C.C. Rankin and F.A. Brogan, On the solution of mode jumping phenomena in thin-walled shell structures, Comput. Methods Appl. Mech. Engrg. 136(1) (1996) 59-92.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.136 , Issue.1 , pp. 59-92
    • Riks, E.1    Rankin, C.C.2    Brogan, F.A.3
  • 34
    • 0039064860 scopus 로고    scopus 로고
    • Computer simulation of the buckling behavior of thin shells under quasi static loads
    • M. Kleiber, E. Onate and O. Zienkiewicz, eds., to appear
    • E. Riks and C.C. Rankin, Computer simulation of the buckling behavior of thin shells under quasi static loads, in: M. Kleiber, E. Onate and O. Zienkiewicz, eds., Computer Methods in Applied Mechanics, to appear.
    • Computer Methods in Applied Mechanics
    • Riks, E.1    Rankin, C.C.2


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