Linchevskiy E. Geometric simulation of epigipotrochoidal profiles of rotary-planetary machines

The thesis for the scientific degree of the Candidate of Sciences, specialization 05.01.01 - Applied geometry, engineering graphics. - Kyiv National University of Construction and Architecture, Kyiv, Ukraine, 2010. The thesis is devoted to a new solution of the problem of geometric simulation of interdependent profiles for rotors and frames of rotary-planetary trochoid machines using combined curves, shown as periodic fragments of a hypotrochoid and epitrochoid. The aim of the research is to establish theoretical basis for the semi-graphical method for calculating rotor and frame profiles, and also working surfaces of the rotary-planetary trochoid machines using combined curves, shown as fragments of a hypotrochoid and epitrochoid. The thesis first introduces the way of analytical description for epitrochoidal curves that comprise periodic fragments of a hypotrochoid and epitrochoid; it suggests the way of calculating interdependent curves under their reciprocal deflections according to the law of planetary train motion, when the curves are combined with fragments of a hypotrochoid and epitrochoid; the work also puts forward the technique of geometric simulation of the interdependent surfaces with normal crossing, shown as epitrochoidal curves, designed to be used in the pumps of Moineau line. The research work results were launched at Pryluky Fire Protection and Special Machinery Plant while designing the pumps for transiting liquids with additives; they were also introduced into the educational process of the engineering and emergency machinery department of the National University of Civil Defence of Ukraine. Key words: rotary-planetary machine, interdependent curves, epitrochoid, hypotrochoid, Moineau pump.