| Torsional Models of Two-ply Yarn |
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| 作者姓名： | 蔡家辉 石济民 卢明德 G.A.Carnaby |
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| 作者单位： | K.F. Choi，T.M. Shih，G.A. Carnaby，M.T. LoWool Research Organisation of New ZealandInstitute of Textiles & Clothing，The Hong Kong Polytechnic University Department of Applied Mathematics，The Hong Kong Polytechnic University |
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| 摘 要： | In this paper,the vector equation of a generaliseddoubly wound helix was derived.Treloar's pliedyarn geometry could be obtained as a special case ofthe generalised doubly wound helix.The shortest fi-bre length around the surface of a helical tube(formed by fibre helices)was determined by apply-ing variational principles.The fibre length as calcu-lated by using Treloar's geometry was compared in-directly with the shortest possible fibre length at dif-ferent levels of yarn deformation when some of Tre-loar's rigid geometrical constraints were relaxed.Anew idea based on non-concentric circles was intro-duced to approximate the fibre helix movement in atwo-ply yarn.A torsional model of two-ply yarnwas developed and the theoretical predictions werecompared with some preliminary experimental re-sults.
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Torsional Models of Two - ply Yarn |
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| K.F. Choi,T.M. Shih,G.A. Carnaby,M.T. LoWool Research Organisation of New ZealandInstitute of Textiles & Clothing,The Hong Kong Polytechnic University.Torsional Models of Two-ply Yarn[J].Journal of Donghua University,1998(1). |
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| Authors: | KF Choi TM Shih GA Carnaby MT LoWool Research Organisation of New ZealandInstitute of Textiles & Clothing The Hong Kong Polytechnic University |
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| Institution: | K.F. Choi,T.M. Shih,G.A. Carnaby,M.T. LoWool Research Organisation of New ZealandInstitute of Textiles & Clothing,The Hong Kong Polytechnic University Department of Applied Mathematics,The Hong Kong Polytechnic University |
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| Abstract: | In this paper, the vector equation of a generalised doubly wound helix was derived. Treloar's1] plied yarn geometry could be obtained as a special case of the generalised doubly wound helix. The shortest fibre length around the surface of a helical tube (formed by fibre helices) was determined by applying variational principles. The fibre length as calculated by using Treloar's geometry was compared indirectly with the shortest possible fibre length at different levels of yarn deformation when some of Treloar's rigid geometrical constraints were relaxed. A new idea based on non - concentric circles was introduced to approximate the fibre helix movement in a two - ply yarn. A torsional model of two - ply yarn was developed and the theoretical predictions were compared with some preliminary experimental results. |
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| Keywords: | Two-ply yarn yarn modelling doubly wound helix shortest path jammed region fibre radial movement fibre lateral movement inter-ply compres-sion fibre tensile energy torsional property |
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