Theoretical Research and Optimization Design of Transmission Meshing of TI worm gears catalog
The TI worm reduction gearbox, the full name of the involute breadcrumb worm gears catalog, consists of an involute helical gear and its enveloping toroidal worm. The research on the transmission of TI worm reducer has important theoretical significance and practical value for the development of high-efficiency and heavy-duty worm reducer.
This paper studies the transmission of TI worm gears catalog from two aspects of meshing theory and optimization design. The main research contents are as follows: According to the differential geometry and gear meshing principle, the kinematics method is used to establish the meshing theory system of the primary envelope and the secondary enveloping TI worm gear transmission under ideal conditions. Under the premise of considering the boundary conditions, the meshing performance of an enveloping TI worm worm reduction gearbox is analyzed in depth.
The conditions for the existence of the meshing boundary line are discussed. The simulation results show that the distribution of the instantaneous contact line on the tooth surface of the worm gear is ideal only when two meshing boundary lines appear on the tooth surface and coincide, thus obtaining an envelope of the TI worm. The ideal helix angle of the worm reduction gearbox. In-depth and detailed analysis of the influence of design parameters on the contact state of the worm gear tooth surface provides theoretical guidance for the rational selection of design parameters. The tooth surface contact of the secondary envelope reducer worm reduction gearbox was analyzed. The conditions of the existence of the secondary contact line on the tooth surface of the worm gear, the influence of the helix angle on the contact line distribution on the tooth surface of the worm gear and the shape of the worm gear surface were studied.
The results reveal that when the helix angle is larger than the ideal helix angle of the one-envelope TI worm worm reduction gearbox, the secondary contact line can appear on the worm gear tooth surface; the larger the helix angle is, the more favorable the tooth surface is in the range of the allowable helix angle. The improvement of the meshing performance; the primary contact surface and the secondary contact surface bounded by the meshing limit line constitute the worm gear tooth surface of the TI secondary envelope reducer worm reduction gearbox. The contact phenomenon of the secondary envelope TI worm worm reduction gearbox can be seen after the TI envelope reducer worm reduction gearbox wears on the worm gear tooth surface. By comparing and analyzing a series of identical design parameters for the next envelope and the secondary envelope of the TI worm gear worm gear surface shape, it can be known that when the helix angle is greater than the ideal helix angle of the primary envelope TI worm worm reduction gearbox, one package The contact line distribution of the secondary envelope can be obtained after the TI worm worm reduction gearbox is meshed and worn. In order to improve the bearing capacity and improve the lubrication condition, the design parameters were used as the optimization variables, and the improved adaptive genetic algorithm was used to optimize the multi-objective optimization of the one-envelope TI worm gears catalog. The optimization example shows that applying the genetic algorithm to the primary envelope is feasible and effective in the optimization design of the TI worm worm reduction gearbox. This method is better than the traditional optimization method.
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