| EPSRC Reference: |
GR/J97199/01 |
| Title: |
HOMOCLINIC ORBITS AND LOCALISED BUCKLING OF AXIALLY-COMPRESSED CYLINDRICAL SHELLS |
| Principal Investigator: |
Champneys, Professor AR |
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| Department: |
Engineering Mathematics |
| Organisation: |
University of Bristol |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 January 1995 |
Ends: |
31 December 1997 |
Value (£): |
106,693
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Summary on Grant Application Form |
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It is proposed to develop a better understanding of the buckling of long, axially compressed cylindrical shells through a combined existence-theory, numerical and asymptotic study. Both the initial buckling bifurcation and post buckling behaviour will be considered. In contrast to previous analyses, which assume full spatial periodicity, the focus of the work will be, physically more realistic, localised buckling. Accordingly, an infinite-axial-length approximation will be employed and homoclinic solutions, bi-asymptotic to the unbuckled equilibrium, will be sought. The problem is amenable to the combined numerical and analytical approach, already successfully applied to the buckling of a strut on an elastic foundation. For the simpler strut problem, this approach led to a complete understanding of the bifurcation behaviour of an infinite number of localised buckling solutions. Initial asymptotic results for the cylinder problem are encouraging, and recover well existing experimental values for effective critical buckling loads. This analysis will be extended via numerics and existence theories to a comprehensive study of localised buckling behaviour. A careful comparison will be made between the results of this study and previous experimental work. Simple phenomological experiments on long cylinders will also be carried out.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.bris.ac.uk |