Galina Rachkovskaya
Rostov State University
Research Institute of
Physical and Organic Chemistry
344007 Rostov-on-Don
Russia
|
Email: galina. rachkovskaya@verizon.net |
http:// |
Abstract
This work deals with some
problems of constructing and graphical displaying for a class of kinematic
surfaces generated by mutual moving ruled surfaces touching one another along
their common ruling in each position.
Exactly, we are dealing with the
surfaces generated by movement of a cone fixed ruling during combined movement
of the cone with respect to a torse surface. The movement is defined as a cone
rotating with simultaneous movement of the cone vortex along the torse
edge-of-regression so that both surfaces, the torse and the cone, touch one
another along the common ruling.
The methods and program modules
developed allow using a wide range of curves as a torse edge-of-regression and a
cone guiding line.
This computer implementation
includes cylindrical circular and elliptical helixes, and lines based on
circular and elliptical helixes as the edge-of-regression, and circle and
ellipse curves as the cone guiding line.