Research On Surface Modeling For Filament Winding

The tube surface is a complicated surface generated by smoothly joining together between several cylinders. The most kinds of winding models are tube surfaces in the production of filament winding. To meet the needs of filament winding composite materials, it is necessary to make the representation of the tube surface as simple as possible. Based on the theory of implicit surface modeling, the global modeling methods for the tube surfaces of elbow and Y-tube are presented, the influences of parameters on the blending surfaces are discussed and the concave-convex characteristics of the blending surfaces and control surfaces are studied in this paper. The research results are very important for the filament winding technique. This paper mainly studies the following contents :Firstly, The theory of implicit surface modeling for the blending surfaces is described, and it is shown that a blending surface is represented as a simply implicit function.Secondly, the hyperboloid of one sheet is taken as a control surface for the shape of elbow, from which the blending surface for the elbow is simply expressed as in only one implicit function. The modeling method for a elbow greatly improves the smoothly connecting mode of that in paper [7].Thirdly, the global modeling method for the Y-tube is put forward. A Y-tube is smoothly pieced together by three circular cylinders of the axes on a plane with different angles and any diameters. The global blending surface with a ellipsoid as the control surface are constructed for the Y-tube, whose representation is simple unite. The geodesic line differential equations of implicit function for elbows and Y-tubes are set up.Finally,On VC++ software platform, using OpenGl, the tube surfaces of elbow and Y-tube are implemented with a computer by the steps of gathering the data points from the implicit expressions , forming triangular mesh and fairing the triangular surfaces .