Computer Simulation of Kinematic Surfaces

Abstract

A geometric surface model is formed taking into account
 given functional, structural, technological, economic, aesthetic
 requirements. These requirements are formulated in geometric
 terms and are expressed in terms of the surface parameters. The
 surface is modeled either Kinematics manner, or by way of a twodimensional
 interpolation. In accordance with in accordance with
 the kinematic method, the surface is formed as a continuous oneparameter
 many curves that form simulated in the surface. In accordance
 with the interpolation method, the surface consists of a
 set of elementary two-dimensional fragments. The article considered
 cinema optical method based on the use of curves of the second
 order of change-nests of the eccentricity as the main shaping element.
 To control the shape of the design surfaces are used for guide
 ruled surfaces (cilindroidy and conoid). Computer program is
 compiled, which determines the eccentricity of the forming curves
 of the second order depending on the boundary conditions. The
 program allows you to plot curve of the second order, given an
 arbitrary set of five coplanar points and tangents. When modeling
 the surface of the passing through a closed circuit, is used the mapping
 of this contour in four-dimensional space. Such mapping gives
 more possibilities for control surface shape. It is shown that the
 kinematics method computer simulation of the surface has technological
 advantages properties instead of interpolation method.