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Details of Grant 

EPSRC Reference: GR/T22926/01
Title: Writhing Structures: Nonlinear Modelling and Analysis of Advanced Post-Buckling Behaviour of Rods and Filaments
Principal Investigator: van der Heijden, Professor G
Other Investigators:
Researcher Co-Investigators:
Project Partners:
CSIRO Tension Technology International Ltd
Department: Civil Environmental and Geomatic Eng
Organisation: UCL
Scheme: Standard Research (Pre-FEC)
Starts: 31 May 2005 Ends: 30 May 2008 Value (£): 229,596
EPSRC Research Topic Classifications:
Eng. Dynamics & Tribology
EPSRC Industrial Sector Classifications:
Manufacturing
Related Grants:
Panel History:  
Summary on Grant Application Form
The aim of this work is firstly to develop a theoretical framework for dealing with the advanced nonlinear post-buckling behaviour of writhing and whirling rods, and secondly to use this theory for a unified and timely attack on a number of stability problems involving slender engineering structures. Recent work of the applicant offers scope for considerable progress in our understanding of these problems. Drawing on expertise from a range of sources, including industry, a combination of modelling, analysis and numerical work is proposed, aided by validation against experimental data. The techniques used will be the modern mathematical tools from Nonlinear Dynamics and Numerical Bifurcation Theory as well as Asymptotic and Multi-Scale Analysis.The work will give us a complete theory of plied structures such as textile yarn, currently poorly understood, and will tackle such structural stability problems as the pop-out of looped cable, the birdcaging of mooring rope and the snarling of transported textile yarn. All of these instabilities pose severe limitations on the practical range of operation of the structural member, and may lead to expensive and catastrophic failure. The research will therefore help to improve economic efficiency of a number of UK industries to which results will be disseminated.
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