GEOMETRY DESIGN AND ANALYSIS FOR TROCHOIDAL-TYPE SPEED REDUCERS: WITH CONJUGATE ENVELOPES

摘要

This paper illustrates the use of the envelope theorem for the geometric design of a cycloidal speed reducer. Specifically, it proposes two designs for a mathematical model with tooth differences: a pin wheel epitrochoid meshing - which is a cycloidal wheel (internal rotor) profile equidistant to an epitrochoid (or extended epicycloid) curve and a cycloidal wheel is generated by a pin wheel (external rotor) - and a pin wheel hypotrochoid meshing. These two contrasting structures differ in their equidistance to the epitrochoid (or extended epicycloid) curve and hypotrochoid (or extended hypocycloid) curve. Using the design result parameters, the analysis also compares contact forces and assesses curvature to determine whether the cycloidal wheel has a non-undercutting or continuous condition.