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Details of Grant 

EPSRC Reference: GR/J97199/01
Title: HOMOCLINIC ORBITS AND LOCALISED BUCKLING OF AXIALLY-COMPRESSED CYLINDRICAL SHELLS
Principal Investigator: Champneys, Professor AR
Other Investigators:
Hunt, Emeritus Professor G
Researcher Co-Investigators:
Project Partners:
Department: Engineering Mathematics
Organisation: University of Bristol
Scheme: Standard Research (Pre-FEC)
Starts: 01 January 1995 Ends: 31 December 1997 Value (£): 106,693
EPSRC Research Topic Classifications:
Continuum Mechanics
EPSRC Industrial Sector Classifications:
Related Grants:
Panel History:  
Summary on Grant Application Form
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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Organisation Website: http://www.bris.ac.uk