Technology of computer design of functional surfaces of technical products based on the array of points

YE. A. Gavrylenko, А. V. Naidysh, YU. V. Kholodnyak

Abstract


Abstract. Purpose. The development of technology  of design of computer models of surfaces defined by points array, and programs of their processing on the machines with computer numerical control (CNC).  Methodology.  The main requirement to the surface of  products which interact with the environment, is to ensure a given character of their flow. Functional quality of the su rface is ensure by  its  geometric  characteristics.  Laminar  nature  of  flow  of  surfaces  can  be  provided  by  monotonous  change  of  curvature  values, torsion,  radiuses  of  adjoining  spheres  along  the  curves  that  are  part  of  the  determinant  of  the  surface.  The  init ial  points  set  and geometrical characteristics of the curve are the initial data for the formation of linear elements of carcass of surface. The  methods of formation of plane and spatial curves with regular change of characteristics on the basis of an arbitrary points set is developed. At each site, which is bounded by successive points the area within which are all the curves corresponding to the conditions of  the  problem is determined. The resulting curve, which is represented by a new point series consisting of an arbitrarily large number of  points, it is considered formed when the area of its possible location is less than a predetermined value.  Practical application of the proposed technology is demonstrated by the example of designing of surfaces inter scapular channel of impeller of the turbocharger and the working surface of the disk cutter for loosening the soil.  Findings.  The developed technology for the design of surfaces of  complex technical products includes the creation of geometric models of surfaces and control programs for their processing on CNC machines. From the initial array of points allocated subset  -  point sets, on the basis of which the linear elements of the carcass of  surface are formed. A computer model of the surface is created on the basis of discretely carcass the line represented by the families of longitudinal and transversal curves. The control program is created in the automated mode using the CAM-packets based on three-dimensional computer model which is formed in a package  of three-dimensional parametric modeling SolidWorks.  Originality.  The  technology  for  creating  with  given  accuracy  of  computer  models  of  surfaces  which  represented  by  array  of  points  is  developed. Functional qualities of surfaces provide defined geometrical  characteristics of linear elements of model.  Practical  value.  The use of  the  developed  technology  makes  it  possible  to  reduce  the  time  of  creating  a  computer  model  of  the  products  and  software  for processing on CNC machines, to improve the functional properties of surfaces that restrict the product.


Keywords


dynamic surface; carcass of surface; linear element of model; discretely represented curve; regular change of curvature and torsion

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