In order to ensure that no undercut is generated, the number of gear teeth is checked. After the number of gear teeth of the transmission pair in each shift group is determined, it is necessary to check whether the number of gear teeth is reasonable. Generally, the spindle speed error is checked. When the speed error is within the allowable range, the number of teeth of the gear is determined to be reasonable. If the allowable range is exceeded, the number of teeth of the gear is determined to be unreasonable, and the number of teeth of the gear should be re-determined.
When (Un)max≤1+10(-1)100%(Un)min≤1-10(-1)100%, we think that the gear number of each gearbox of the main drive system of the machine tool is determined reasonably. Otherwise, the main drive system needs to be re-determined. The number of gear teeth of each shifting group can be calculated according to the above formula.
For example and conclusion, take the main drive system of 12-speed as an example, set the common ratio = 1.41, and the rotation speed is as shown in 2. According to the principle of determining the number of gear teeth, the calculation method or check method is used to determine the number of gear teeth as indicated by the speed 2, and it is now reasonable to check the number of gear teeth.
The theoretical gear ratios in each shift group are ua1=1, ua2=1/1.41, ua3=1/2; ub1=1, ub2=1/2.82; uc1=2, uc2=1/4. The actual gear ratio in each shifting group is ua1'=36/36=1, ua2'=30/42=5/7, ua3'=24/48=1/2; ub1'=42/42=1, ub2' =22/62=11/31; uc1'=60/30=2, uc2'=18/72=1/4.
In each shift group, the maximum value of n actual n theory = U is (Ua)max = ua2' / ua2, (Ub) max = ub2' / ub2; n actual n theory = U has a minimum value of 1, which The fact that the actual gear ratio is unified with the theoretical gear ratio can be achieved without generating a rotational speed error.
From the above analysis, it can be known that the determination of the number of gear teeth will directly affect the speed of the spindle. When the number of gear teeth is determined to be reasonable, the spindle speed error is small and the transmission is accurate. Conversely, the spindle speed error is large and the transmission is inaccurate. . Therefore, when determining the number of gear teeth, we must check the spindle speed error to ensure that the spindle obtains accurate transmission.
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