INVARIANT ALGORITHMS OF SPATIAL CONSTRUCTIONS ELEMENTS FORMING AND CUTTING

被引:0
|
作者
Berestova, S. A. [1 ]
Belyaeva, Z. V. [1 ]
Misura, N. E. [1 ]
Mityushov, E. A. [1 ]
机构
[1] Ural Fed Univ, Fed State Autonomous Educ Inst Higher Profess Edu, 19 Mira St, Ekaterinburg 620002, Russia
来源
TEXTILE COMPOSITES AND INFLATABLE STRUCTURES VII | 2015年
关键词
Cutting Line; Involute Plane; Shaping;
D O I
暂无
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
This report clearly demonstrates the capabilities of an advanced research area of applied mathematics, i.e., computational geometry to be applied for shaping dimensional structures. Vector-matrix models are provided to cover the composite membrane piecewise-smooth structures composed of surface elements with zero Gaussian curvature. General algorithms are presented for finding cutting lines for cylindrically and conically-shaped elements, into which the curves contained in the developable surfaces transform. A dome-like peak-shaped structure comprising components of both cylindrical and conical shape is given as an example to present equations describing the cutting lines explicitly, which makes it possible to implement a high-precision technique for producing such a structure.
引用
收藏
页码:401 / 412
页数:12
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