A new computer geometric modelling approach of yarn structures for the conventional ring spinning process

A new computer modelling approach for three-dimensional yarn structures produced by the conventional ring spinning system is presented. The concept of virtual locations for modelling yarn cross section is extended. Virtual locations are ring configuration with ellipsoid shapes defined by yarn-twist level in each ring layer. A mathematical model based on migrating helix is developed. Fibre migration is governed by geometric and tension mechanisms. The migration parameters include twisting tension, migration period and amplitude. The initial phase and frequency of migration pattern are used as the parameters of fibre migration. Based on the results obtained from the virtual locations concept and mathematical model of twist, a computer-aided design modelling approach for fibre assemblies is presented for geometric and visual simulation of yarn structures. The fibre paths in each interval between two successive cross sections are approximated by non-uniform rational B-spline curves. The geometric model of each fibre is created by sweeping a closed curve along a centreline path. The new model is validated by using process parameters of spun rayon yarn.

[1]  K. C. Yen,et al.  5—THE ARRANGEMENT OF FIBRES IN FIBRO YARNS , 1952 .

[2]  Sabit Adanur,et al.  3D modeling of textile composite preforms , 1998 .

[3]  Nicholas M. Patrikalakis,et al.  Shape Interrogation for Computer Aided Design and Manufacturing , 2002, Springer Berlin Heidelberg.

[4]  B. S. Gupta,et al.  Part III: A Study of Migration in Staple Fiber Rayon Yarn , 1965 .

[5]  Erik L.J. Bohez,et al.  Computer Aided Modeling of Fiber Assemblies , 2006 .

[6]  A. Newton,et al.  Computer Representation of Woven Fabric by Using B-splines , 1999 .

[7]  Xuekun Sun,et al.  Digital-element simulation of textile processes , 2001 .

[8]  S. Grishanov,et al.  A MODEL OF FIBRE MIGRATION IN STAPLE-FIBRE YARN , 1999 .

[9]  L. Treloar,et al.  28—A MIGRATING-FILAMENT THEORY OF YARN PROPERTIES , 1965 .

[10]  J. Hearle,et al.  39—INTERCHANGE OF POSITION AMONG THE COMPONENTS OF A SEVEN-PLY STRUCTURE: MECHANISM OF MIGRATION , 1962 .

[11]  C. A. Lawrence,et al.  Fundamentals of Spun Yarn Technology , 2003 .

[12]  Stanley Backer,et al.  Structural mechanics of fibers, yarns, and fabrics , 1969 .

[13]  X. Tao.  Mechanical Properties of a Migrating Fiber , 1996 .

[14]  Michael Keefe,et al.  Solid Modeling of Yarn and Fiber Assemblies , 1992 .

[15]  Dipayan Das,et al.  Modelling of Radial Fiber Migration in Yarns , 2006 .

[16]  Modelling of Two-component Yarns Part II: Creation of the Visual Images of Yarns , 1997 .

[17]  M. Keefe.  Solid Modeling Applied to Fibrous Assemblies. Part I: Twisted Yarns , 1994 .

[18]  R. J. Harwood,et al.  The simulation of the geometry of a two-component yarn part II: Fibre distribution in the yarn cross-section , 1997 .

[19]  S. Harlock,et al.  Three-Dimensional Computer Modeling of Warp Knitted Structures , 2002 .

[20]  Y. Jiang,et al.  Geometric and algebraic algorithms for modelling yarn in woven fabrics , 2005 .

[21]  J. Hearle,et al.  The Migration of Fibers in Yarns , 1965 .

[22]  B. S. Gupta,et al.  Migration of Fibers in Yarns , 1965 .

[23]  Les A. Piegl,et al.  The NURBS Book , 1995, Monographs in Visual Communication.

[24]  G. Basal,et al.  Comparison of Properties and Structures of Compact and Conventional Spun Yarns , 2006 .