By increasing the differential ratio to select the differential hanging wheel, it can be seen from the above analysis that the differential ratio is extremely small, and the hanging wheel can not be selected. If the differential ratio is increased, it is possible to select a differential hanging wheel. In the work, the author encounters the calculation of each group of hanging wheels of the hobbing large-mass helical gear. The calculation formula of the ratio of the differential hanging wheel is composed of two parts. The two parts can be added or subtracted, and the value can be positive. Can be negative.
Now use this calculation method to make the two sides of the formula (2) the same symbol to increase the differential ratio and achieve the purpose of selecting the differential hanging wheel. Because the differential hanging wheel is associated with the split tooth hanging wheel and the hanging knife hanging wheel, according to the above example, the split tooth hanging wheel and the vertical running hanging wheel are also obtained together, and the whole process of calculation is as follows: Wheel: a@cb@d=24kzp=24@121 2/25=48@5034@62, where p is a constant value that increases or decreases the number of teeth of the machined gear, and its value ranges from 1/50 [p[1 /5, here set p=2/25.
Walking knife hanging wheel: a1@c1b1@d1=34@Sç«‹=34@1=3040, S is the vertical cutting amount, here take S = 1mm. Differential hanging wheel: a2@c2b2@d2 =c1sinBmnkPc1pS In k(3), when the workpiece and the hob spiral are in the same direction, the first term in equation (3) is preceded by /-0; in the opposite direction, /0 is used. When z p is used in the split-tooth suspension formula, the second term in equation (3) is preceded by /-0; when zp is used in the split-tooth suspension formula, the second term in equation (3) is preceded by /0. The first item and the second item are added if the symbols are the same; if the signs are opposite, they are subtracted. The result is /-0, which means that the differential replenishment movement is consistent with the rotation direction of the table, so that the workbench rotates a little more. When two pairs of hanging wheels are used, no inter-wheel is added; otherwise, the result is / 0, indicating differential The replenishment movement is opposite to the rotation direction of the table, so that the table is turned a little less. When two pairs of hanging wheels are used, a medium wheel is added.
Since z p is used in the split-tooth suspension formula, the second term in equation (3) is preceded by /-0. In order to increase the ratio of the differential hanging wheel as much as possible, the first item in the formula also uses the /-0 number. In this case, the hob and the workpiece must have the same spiral direction, that is, a single-head left-handed hob is used.
According to the above analysis, the formula (3) becomes: a2@c2b2@d2=-c1sinBmnk-Pc1pS The meaning of the letter symbol in the k-type is the same as above, and the value of each parameter is worth /-0, indicating that when two pairs of hanging wheels are used, Medium wheel. Since |-21012634844|>1, so find its reciprocal: 1|-21012634844|=01496861118 and then check the 5 hanging wheels to get an approximation: 1 These two pairs of hanging wheels are in the Y38 machine differential hanging wheel, can also be installed to Hang on the wheel frame.
Accuracy error check 11 transmission ratio absolute error $|$|[01002c1mnkB substitutes the above values ​​to meet the 7-level accuracy requirements.
Helix angle absolute error $B|$B|=|B-Bc|[4d(8-level accuracy or higher) (4) where B is the helix angle of the machined gear (0b32c45d), and Bc is the actual helix angle of the machined gear . According to the formula, the absolute error of the Bc helix angle is satisfied to meet the accuracy requirement of 7 levels.
A few points 11 Although the number of gear teeth 21 is not easy to match the hanging wheel, it can be regarded as a large prime number, and the calculation of the large number of helical gears to calculate the set of hanging wheels, and select the appropriate differential hanging wheel. In the machining, it must be processed according to the method of processing large-mass helical gears, that is, the split-tooth movement and the differential motion cannot be separated during the machining process. When cutting the second knife, it is necessary to first return automatically by using the reverse vehicle, and then perform cutting. 21 If the calculation of the differential hanging wheel ratio is extremely small or if the high-precision differential hanging wheel is not selected, this method can be used to recalculate the differential hanging wheel ratio to select the appropriate differential hanging wheel.
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