International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

The high current requirements for the characteristics determining the accuracy, reliability and efficient manufacturing of modern machines, apparatus and devices applicable in various fields of industry and transport in a big extend dictate the applied scientific methodology to the technological synthesis, design and production of gears. In the processes of synthesis and design of the different types of gear transmissions, the designer faces an extremely complex set of questions to solve, which together define the desired optimal construction.
In this case, an optimal design means a gear transmission that is capable of delivering preliminary defined kinematic and / or strength requirements at minimum design, production and operation costs (including the repair costs during their exploitation). This work presents a review of the methodology, developed by the authors, oriented towards the synthesis and design of spatial gear mechanisms (hyperboloid gear drives), realizing rotations transformation between crossed shafts. The main principles, on which the construction of adequate software programs are based for the synthesis of treated transmissions, are presented.

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.

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.

This study contains main views and scientific principles of its authors, used as a basis for mathematical modeling, oriented to the synthesis of kinematically conjugated spatial (hyperboloid) gear drives.

This study contains main views and scientific principles of its authors, used as a basis for mathematical modeling, oriented to the synthesis of kinematically conjugated spatial (hyperboloid) gear drives.

The study presents a brief description of the type’s software, applicable to the synthesis and design of gear transmissions. The main accent is put on the approach to the computer synthesis, for which the optimization process is carried out by the method of directed search of the optimal variant of a synthesized mechanism. The specific features of the programs, applied by the authors, oriented to the synthesis of spatial gear mechanisms with linear contacting teeth with face meshing (Spiroid and Helicon) are studied in detail.