Gleason system is the main system of spiral bevel gears in China

Gleason system is the main spiral bevel gear produced and used in China. Gleason gear technology has been the research object at home and abroad for decades because of its good transmission performance, unique meshing theory and processing equipment. The tooth cutting calculation program provided by Gleason company includes tooth contact analysis, or TCA program for short. Tooth contact analysis is to simulate the meshing process of sub gear pair by computer, which provides the basic basis for better design parameters and cutting adjustment parameters for gear design and manufacturing. Many experts and scholars in our country have done a lot of research work and achieved extensive results. They have basically clarified the theoretical basis of Gleason technology and played an important role in guiding the design and manufacturing of gears. Because the meshing quality of spiral bevel gear is guaranteed by the correct cutting design, but the cutting design is usually carried out for the selected reference points on the tooth surface. The correct design results will provide the desired good Meshing Conditions for spiral bevel gear in the reference points and other fields. However, whether the meshing quality can be maintained in the whole meshing process needs to be further verified by tooth contact analysis.

Previous studies mainly focused on the geometry of gear and the calculation of cutting parameters. At the same time, because TCA is based on the assumption that the teeth are rigid and only one pair of teeth contact at any time, the analysis result is far from the actual load-bearing gear pair. TCA is only a pure mathematical method, it does not consider the machine error, machining error, installation error, heat treatment deformation and other practical problems. For the point contact gear, the shape of the instantaneous contact area of the gear teeth is approximately elliptical under light load, and the shape of the instantaneous contact area of the gear teeth will change with the increase of the load. The situation becomes more complicated when the tooth edge contacts. Therefore, it is necessary to break the rigid hypothesis and single tooth meshing hypothesis in the tooth contact analysis, and establish a set of methods to solve the real contact area, transmission error curve, the number of teeth in a certain instantaneous simultaneous meshing, the load distribution between the simultaneous meshing gear pairs, the transmission error curve, the number of teeth in a certain instantaneous simultaneous meshing, and the load distribution between the simultaneous meshing gear pairs The load sensitivity of the gear pair and the peak contact stress of the tooth surface at a certain instant are calculated.

Since bastel carried out tooth contact analysis, the design and machining of spiral bevel gears have made great progress. Since then, many gear scholars have developed tooth contact analysis methods. Gleason’s experts have studied the contact process of loaded gear teeth, put forward a set of contact analysis method of loaded gear teeth, and developed the corresponding computer software, that is, loaded tooth surface meshing analysis, referred to as LTCA. The research on contact analysis of loaded gear teeth has been carried out in China, and the method of contact analysis has been improved to make the contact analysis closer to the actual working state. However, they ignored the change of load distribution caused by the shape change of contact area in the tooth loading contact analysis, which made the analysis results have a certain gap with the actual work of gear pair.