Stationary solution of the ring-spinning balloon in zero air drag using a RBFN based mesh-free method

Tran, Canh-Dung and Phillips, David G. and Fraser, W. Barrie (2010) Stationary solution of the ring-spinning balloon in zero air drag using a RBFN based mesh-free method. Journal of the Textile Institute, 101 (2). pp. 101-110. ISSN 0040-5000

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A technique for numerical analysis of the dynamics of the ring-spinning balloon based on the Radial Basis Function Networks (RBFNs) is presented in this paper. This method uses a 'universal approximator' based on neural network methodology to solve the differential governing equations which are derived from the conditions of the dynamic equilibrium of the yarn to determine the shape of balloon yarn. The method needs only a coarse finite collocation points without any finite element-type discretisation of the domain and its boundary for numerical solution of the governing differential equations. This paper will report a first assessment of the validity and efficiency of the present mesh-less method in predicting the balloon shape across a wide range of spinning conditions.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Accepted version deposited in accordance with copyright policy of publisher.
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 07 Mar 2011 06:25
Last Modified: 08 Jul 2014 05:48
Uncontrolled Keywords: ring-spinning balloon; differential governing equations; neural networks; radial basis function networks (RBFNs)
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis
09 Engineering > 0910 Manufacturing Engineering > 091006 Manufacturing Processes and Technologies (excl. Textiles)
01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications
Socio-Economic Objective: B Economic Development > 86 Manufacturing > 8604 Leather Products, Fibre Processing and Textiles > 860406 Synthetic Fibres, Yarns and Fabrics
Identification Number or DOI: 10.1080/00405000802273632

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