For the meshing of the teeth, the load on the pair of teeth that are engaged is obtained. If there is no negative value, the value of n may be too small, and the value of n is increased until the load of the gear is negative. The n 1 obtained before the occurrence of a negative value is the simultaneous meshing of the number of teeth. The number of meshing teeth and the amount of load that each tooth pair is subjected to. The calculation method of the theoretical clearance angle between gears. Although the meshing stiffness of each meshing pair of gears with small tooth difference gear is a variable, there are many factors involved in the calculation of meshing stiffness, especially the dynamic meshing stiffness. Therefore, it is often difficult to calculate. Therefore, the average stiffness (ie the average of the total stiffness) is often used. Value), instead of the meshing stiffness at each pair of teeth. The calculation is performed using the calculation method of the ISO standard (draft).
The bearing capacity coefficient and the multi-objective optimization of the volume, in order to make the strength meet the requirements without causing excessive margin waste, the KXT should be made as close as possible to the allowable root bending stress, and at the same time, in order to make the transmission of the small tooth difference transmission larger. The torque and load capacity coefficient should also be as small as possible, but it can be seen from the expression that the bearing capacity coefficient is inversely proportional to the reducer volume, that is, the smaller the load capacity coefficient, the larger the reducer volume, obviously this is contradictory, to solve The conflict between the two goals can be solved by the idea of ​​multi-objective optimization. The variables in the objective function are the modulus and tooth width. The small modulus gear transmission used in the aerospace field is the research object, so the constraint conditions are: (1) 0.1mm燮m燮1mm(2)3mm燮B燮12mm To achieve better human-computer interaction effect, it is more convenient to observe the optimization results under different tooth counts and different tooth counts, and create a graphical interface directly facing the user. The user can directly input the number of teeth in the inner and outer gears of the reducer with small tolerances as needed. Click the “Optimize Volume and Load Factor†button to get the volume-load capacity coefficient optimization curve.
In the multi-objective optimization process, it is first judged whether the number of internal and external gear teeth input on the optimization interface is reasonable. If the condition is met, an initial population P0 with an individual number N is generated based on the parameter, and each of the populations is given according to a non-dominated sorting algorithm. Individuals perform non-dominated sorting and assign fitness values ​​to each individual.