GENERATING ELLIPSES BY USING MECHANISMSRELYING ON SIMPLE GEOMETRICAL ASPECTS

Abstract

An ellipse obtained as the intersection of aconewith an inclined plane. Starting from the ordinary equation of an ellipse, one performs the analogy with a basic equation from Trigonometry. The coordinates of the ellipse leading point are determined, building a simple geometrical figure. This figure allows for the synthesis of the leading mechanism. Three mechanisms generating the same ellipses were achieved in this way. Geometric construction, the generating ellipses, the mechanism structure, the kinematics of the mechanism are presented along with the succesice positions of the generating mechanisms.