Modeling the evolution of deformed fabric surfaces as a nonlinear dynamical system

被引:1
作者
Postle, JR [1 ]
Postle, R [1 ]
机构
[1] Univ New S Wales, Dept Text Technol, Sydney, NSW 2052, Australia
关键词
Buckling - Dynamics - Mathematical models - Wave effects;
D O I
10.1177/004051750107100811
中图分类号
TB3 [工程材料学]; TS1 [纺织工业、染整工业];
学科分类号
0805 ; 080502 ; 0821 ;
摘要
Fabric drape is modeled as a nonlinear dynamical system. A localized two-dimensional deformation (e.g., folding or buckling), considered as the initial state, evolves, yam by yarn, through the fabric, which bifurcates into complex wave configurations to form a three-dimensional fabric surface. Differential equations that arise in modeling fabric deformation such as buckling, folding, and drape can be generalized to the sine-Gordon equation. Tchebyshev nets are used to propose a generalized mathematical model for fabric deformation. The sine-Gordon equation is the compatibility condition that yields the net coordinates over the deformed fabric surface. Complex solutions of the sine-Gordon equation are constructed and plotted in three dimensions.
引用
收藏
页码:719 / 725
页数:7
相关论文
共 11 条
[1]  
BACKLUND AV, 1883, LUNDS U ARSSKRIFT, V19
[2]  
EISENHART L. P., 1909, A Treatise on the Differential Geometry of Curves and Surfaces
[3]   MECHANICAL PROPERTIES OF WOVEN FABRICS .3. BUCKLING OF WOVEN FABRICS [J].
GROSBERG, P ;
SWANI, NM .
TEXTILE RESEARCH JOURNAL, 1966, 36 (04) :332-&
[5]  
Peirce F.T., 1930, J TEXT I, pT377, DOI DOI 10.1080/19447023008661529
[6]  
PEIRCE FT, 1937, J TEXT I, V55, pT541
[7]  
PIPKIN AC, 1984, ARCH RATION MECH AN, V85, P81
[8]   The dynamics of fabric drape [J].
Postle, JR ;
Postle, R .
TEXTILE RESEARCH JOURNAL, 1999, 69 (09) :623-629
[9]  
POSTLE JR, 1996, INT J CLOTH SCI TECH, V8, P22
[10]  
POSTLE JR, 1992, INT J CLOTH SCI TECH, V4, P7