Open AccessParametric design of technological processes based on multidimensional geometric modelling
Author(s) -
M. A. Chizhik,
M. N. Moskovtsev
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1260/7/072003
Subject(s) - parametric statistics , hyperplane , computer science , geometric modeling , algorithm , geometric design , image stitching , range (aeronautics) , parametrization (atmospheric modeling) , process (computing) , parametric model , plot (graphics) , mathematical optimization , mathematics , geometry , engineering , artificial intelligence , statistics , physics , quantum mechanics , radiative transfer , aerospace engineering , operating system
A method of parametric design of technological processes has been developed based on the theory of multidimensional geometry using elements of parametrization, multidimensional computational geometry and geometric modelling. The method allows a technological process to be described by a hypersurface defined by a set of lines of one- or two-dimensional frames in a multidimensional complex plot. Its parameters are regarded as a certain set of points and lines of a space which is defined as an intersection of the frame lines by hyperplanes of a given level. The article proposes a computer implementation of the method which provides a solution to engineering problems with required accuracy. A geometric model of a thread stitching technological process has been obtained. The model allows to set a parameter range and determine the modes of obtaining compounds of a given quality in a wide range of possible solutions depending on the package of product materials, the number of process equipment parameters and process criteria.