Spatial gearing: Kinematic characteristics of the instantaneous contact

  • 1 Graduate School of Engineering Science, Akita University, Japan
  • 2 Institute of Mechanics, Bulgarian Academy of Sciences, Bulgaria


In this work, case of rotations transformation between arbitrary crossed shafts (axes of rotations) by means of high kinematic joints, which elements configure active tooth surfaces of hyperboloid gear mechanisms is treated. |Analytical dependencies, defining the law of rotations transformation are illustrated. This law of transformation in this concrete case is a constant function of the relations of the angular velocities of the movable links of the spatial three-link gear mechanism. The shown functions are applicable both to the synthesis of the studied transmissions, and for the determining and control of the kinematic errors of these transmissions, caused by manufacturing and assembly errors.



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