Homo clinic and heteroclinic solutions of upheaval buckling

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 355, Issue 1732, 1997, Pages 2185-2195

  Hunt, G W ^a   Blackmore, A ^b  

^a University of Bath   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3142516500     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1997.0117     Document Type: Article

References (18)

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2. Blackmore, A. & Hunt, G. W. 1996 The dynamical phase space analogy as a tool for the upheaval buckling of pipelines. Preprint.
3. Boer, S., Hulsbergen, C. H., Richards, D. M., Klok, A. & Biaggi, J. P. 1986 Buckling considerations in the design of the gravel cover for a high-temperature oil line. In Proc. 18th Annual OTC, Houston, Texas. OTC 5294.
4. Champneys, A. R. & Spence, A. 1993 Hunting for homoclinic orbits for autonomous Hamiltonian sytems. Adv. Comp. Maths 1, 81-108.
5. Hobbs, R. E. 1981 Pipeline buckling caused by axial loads. J. Construct. Steel Res. 1, 2-10.
6. Hobbs, R. E. 1984 In-service buckling of heated pipelines. ASCE J. Transp. Eng. 110, 175-189.
7. Hunt, G. W. & Blackmore, A. 1996 Principles of localized buckling for a strut on an elasto-plastic foundation. ASME J. Appl. Mech. 63, 234-239.
8. Hunt, G. W. & Wadee, M. K. 1991 Comparative lagrangian formulations for localized buckling. Proc. R. Soc. Lond. A 434, 485-502.
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10. Ju, G. T. & Kyriakides, S. 1988 Thermal buckling of offshore pipelines. ASME J. Offshore Mech. Arctic Eng. 110, 355-364.
11. Kirchhoff, G. 1859 Über das gleichgewicht und die bewegung eines unendlich dünnen elastischen stabes. J. Mathematik (Crelle) 56, 285-313.
12. Taylor, N. & Gan, A. B. 1984 Regarding the buckling of pipelines subject to axial loading. J. Construct. Steel Res. 4, 45-50.
13. Taylor, N. & Gan, A. B. 1986 Submarine pipeline buckling - imperfection studies. Thin-Walled Structures 4, 295-323.
14. Taylor, N. & Gan, A. B. 1987 Refined modelling for the vertical buckling of submarine pipelines. J. Construct. Steel Res. 7, 55-74.
15. Taylor, N. & Tran, V. 1993 Prop-imperfection subsea pipeline buckling. Marine Struct. 6, 325-358.
16. Taylor, N. & Tran, V. 1996 Experimental and theoretical studies in subsea pipeline buckling. Marine Struct. 9, 211-257.
17. Timoshenko, S. P. & Gere, J. M. 1963 Theory of elastic stability, 2nd edn. New York: McGraw-Hill.
18. Tran, V. C. 1994 Imperfect upheaval subsea pipeline buckling. Ph.D. thesis, Sheffield Hallam University, Sheffield.