Estimation of output member position error for spherical gearing

Abstract

Field of application and breadth of achievement application to production of any engagement gearing type is defined by their loading ability, kinematic (including accuracy) parameters and technology of production and use. Spherical gearing with intermediate spherical bodies (SGISB) has rather high loading ability-higher than traditional bevel gearing-due to almost absolute tooth bending rigidity and which is limited only by contact strength. The most difficult element of this gearing is a wheel with trochoidal tooth profile. Such a wheel may be cut at standard machine tools for cutting bevel wheels with circle teeth or at coordinate milling machine with numerical program control. The intermediate body (IB) is a standard ball produced by bearing industry. This gearing may work both with liquid lubrication and consistent one. These gearing features make evident its rather high technological effectiveness. Accuracy characteristics of this gearing type are not deeply developed. This research is devoted to driven member position error (DMPE) with existence of axis intersection angle error and effects of contacting surfaces elastic deformations. Wheel turning angle taking into account realistic element geometry may be done based on real contact line equation.