Gear machines with improved kinematics

摘要

The gear machine according to the invention includes a driving gear wheel (1) and a driven gear wheel (2) having meshing gear teeth (21,22) having a special novel shape designed to provide improved gear wheel kinematics as well as minimal volume flow rate fluctuations. A correction of the gear teeth side geometry is performed by local limited adjustment of the basic transmission function i for eliminating volume flow rate fluctuations so that a discontinuity-free transmission is attained which results in an improved motion of the driven gear wheel with reduced acceleration changes. In order to accomplish this improvement in kinematics, the shape of the flanks or sides (25,26) of the engaging or meshing gear teeth (21,22) is such that the transmission function i depends on a spacing (g alpha y) of an instantaneous contact point (Y) from a pitch point (C) of the two gear wheels (1,2) and changes continuously with a continuous derivative with a zero derivative at a gear tooth engagement change point occurring at a maximum value of that spacing (g alpha y).