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
相关论文
共 50 条
  • [41] FFCSA - Finite Field Constructions, Search, and Algorithms
    Zidaric, Nusa
    Gong, Guang
    Aagaard, Mark
    Jurisic, Aleksandar
    Konovalov, Olexandr
    ACM COMMUNICATIONS IN COMPUTER ALGEBRA, 2023, 57 (02): : 57 - 64
  • [42] SECTION ELEMENTS IN ROTATION CUTTING
    KONOVALO.EG
    GIK, LA
    DOKLADY AKADEMII NAUK BELARUSI, 1972, 16 (07): : 617 - &
  • [43] BROACHES WITH REINFORCED CUTTING ELEMENTS
    KUZNETSOV, VA
    SOVIET ENGINEERING RESEARCH, 1987, 7 (09): : 68 - 68
  • [44] INVESTMENT CAST CUTTING AND FORMING TOOLS
    MCCALLUM, R
    LANG, W
    METALLURGIA, 1978, 45 (10): : 574 - &
  • [45] FORMING AND CUTTING OF STAINLESS STEEL PLATE
    POHLMAN, MA
    KOONTZ, CW
    METALS ENGINEERING QUARTERLY, 1968, 8 (01): : 40 - &
  • [46] CUTTING MATERIAL COSTS WITH WARM FORMING
    ZUZICH, F
    MANUFACTURING ENGINEERING & MANAGEMENT, 1970, 65 (06): : 36 - &
  • [47] Design of Shape Forming Elements for Architected Composites via Bayesian Optimization and Genetic Algorithms: A Concept Evaluation
    Kazmer, David O.
    Olanrewaju, Rebecca H.
    Elbert, David C.
    Nguyen, Thao D.
    MATERIALS, 2024, 17 (21)
  • [48] Calculation of stresses in the finite elements of deformed constructions
    Levin V.E.
    Pustovoi N.V.
    Journal of Applied and Industrial Mathematics, 2009, 3 (2) : 259 - 266
  • [49] Analysis of the constructions of magnetic seals with honeycomb elements
    Bayburtskiy, F. S.
    Kirey, P. S.
    JOURNAL OF THE BALKAN TRIBOLOGICAL ASSOCIATION, 2007, 13 (04): : 405 - 411
  • [50] Numerical simulation of nonlinear strains of constructions elements
    Polatov, Askhad M.
    Ikramov, Akhmat M.
    Pulatov, Sukhbatulla I.
    ADVANCES IN COMPUTATIONAL DESIGN, AN INTERNATIONAL JOURNAL, 2024, 9 (02): : 137 - 150