APPLICATION OF RULED SURFACES IN FREEFORM AND GEAR METROLOGY

被引:5
|
作者
Linkeova, Ivana [1 ]
Zeleny, Vit [2 ]
机构
[1] Czech Tech Univ, Fac Mech Engn, Dept Tech Math, Karlovo Nam 13, Prague 12135, Czech Republic
[2] Czech Metrol Inst, Labs Fundamental Metrol, V Bot 1500-4, Prague 15072, Czech Republic
关键词
Hyperbolic paraboloid; tangent surface of a helix; CAD model; freeform metrology; calibration standard;
D O I
10.14311/AP.2021.61.0099
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
An application of two ruled surfaces (i.e., surfaces generated by a motion of a straight line), a surface of hyperbolic paraboloid and a tangent surface of a cylindrical helix in freeform and gear metrology is introduced in this paper. Both surfaces have been implemented as the main functional figures in several artefacts - metrological calibration standards intended for testing the freeform capabilities of various measuring technologies (e.g., tactile point-to-point measurement and tactile scanning on coordinate measuring machine, optical scanning, computer tomography). Geometrical and mathematical properties of the surface used are summarised, CAD models of all the developed standards are presented and photos of the manufactured standards are shown.
引用
收藏
页码:99 / 109
页数:11
相关论文
共 50 条
  • [31] RULED SURFACES IN THE SPHERE
    ROVENSKII, VY
    SIBERIAN MATHEMATICAL JOURNAL, 1984, 25 (06) : 945 - 955
  • [32] Tetrads of ruled surfaces
    Carpenter, A. F.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1929, 31 (1-4) : 523 - 528
  • [33] GENERALIZED RULED SURFACES
    FRANK, H
    GIERING, O
    MATHEMATISCHE ZEITSCHRIFT, 1976, 150 (03) : 261 - 271
  • [34] Approximation by ruled surfaces
    Chen, HY
    Pottmann, H
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 102 (01) : 143 - 156
  • [35] RULED SURFACES IN ARCHITECTURE
    Velimirovic, Ljubica
    Cvetkovic, Milica
    Ciric, Marija
    Velimirovic, Nikola
    INTERNATIONAL JOURNAL ON INFORMATION TECHNOLOGIES AND SECURITY, 2009, 1 (04): : 21 - 30
  • [36] Inverted ruled surfaces
    vonSchmidt, G
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1996, 48 (3-4): : 271 - 284
  • [37] DEFORMATIONS OF RULED SURFACES
    SEILER, WK
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1992, 426 : 203 - 219
  • [38] Application of Radial Basis Functions to Represent Optical Freeform Surfaces
    Cakmakci, Ozan
    Kaya, Ilhan
    Fasshauer, Gregory E.
    Thompson, Kevin P.
    Rolland, Jannick P.
    INTERNATIONAL OPTICAL DESIGN CONFERENCE 2010, 2010, 7652
  • [39] Bonnet Ruled Surfaces
    Filiz Kanbay
    Acta Mathematica Sinica, 2005, 21 : 623 - 630
  • [40] APPLICATION OF POLYMERIC MATERIALS TO SLIDING SURFACES - GEAR
    ARAI, T
    JOURNAL OF JAPAN SOCIETY OF LUBRICATION ENGINEERS, 1977, 22 (09): : 593 - 596