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Details of Grant 

EPSRC Reference: GR/R51698/01
Title: A variational approach to the stability of contrained rods
Principal Investigator: van der Heijden, Professor G
Other Investigators:
Researcher Co-Investigators:
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Department: Centre for Nonlinear Dynamics (CNDA)
Organisation: UCL
Scheme: Standard Research (Pre-FEC)
Starts: 04 March 2002 Ends: 03 November 2002 Value (£): 3,803
EPSRC Research Topic Classifications:
Eng. Dynamics & Tribology
EPSRC Industrial Sector Classifications:
Construction
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Summary on Grant Application Form
The aim of this proposal is the application of recently developed variational methods to localisation and other post-buckling phenomena in constrained rods. The recent work of both the applicant and the proposed Fellow have led, from different angles, to the study of critical failure loads in long thin structures. A joining of forces is proposed to tackle the problem of the recently discovered helical collapse of a rod constrained to lie on a rigid cylinder, a problem with important industrial applications. The envisaged research will also launch a timely attack on questions of stability of localised solutions in long constrained structures, a question of obvious importance in applications but hitherto mostly avoided.
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