A harmonic decomposition-based on-machine pitch error compensation method for large gear hobbing
A technology of pitch error and compensation method, which is applied in metal processing machinery parts, metal processing, metal processing equipment, etc., can solve the problems of large gear mass, difficult to repeat clamping, and troublesome operation, and achieves low cost and easy operation. , the effect of easy operation
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Embodiment 1
[0041] Embodiment 1: Changing the rotational speed of the rotary table of the machine tool to compensate for the gear hobbing pitch error, specifically includes the following steps:
[0042] 1) Through the on-machine measurement of the gear with machining allowance, the accumulative deviation data F of the tooth pitch of the gear is obtained pki
[0043] [F pki ] i = 1, 2, 3, ..., z (1)
[0044] That is to say, the accumulative deviation F of the pitch of k teeth pk ;
[0045] 2) The data measured in 1) are harmonically decomposed by discrete Fourier transform, and the amplitude spectrum and phase spectrum are obtained
[0046]
[0047] In the formula, A n is the amplitude of the Nth harmonic, is the phase angle of the Nth harmonic;
[0048] 3) Use the mathematical compensation model of cumulative tooth pitch deviation to solve the error compensation amount (that is, the variable C of the rotational speed of the rotary table of the machine tool p ),Proceed as follows...
Embodiment 2
[0058] Embodiment 2: Changing the speed of the hob to compensate the pitch error of the hobbing process, which specifically includes the following steps:
[0059] 1) Through the on-machine measurement of the gear with machining allowance, the accumulative deviation data F of the tooth pitch of the gear is obtained pki
[0060] [F pki ] i = 1, 2, 3, ..., z (1)
[0061] That is to say, the accumulative deviation F of the pitch of k teeth pk ;
[0062] 2) The data measured in 1) are harmonically decomposed by discrete Fourier transform, and the amplitude spectrum and phase spectrum are obtained
[0063]
[0064] In the formula, A n is the amplitude of the Nth harmonic, is the phase angle of the Nth harmonic;
[0065] 3) Use the mathematical compensation model of cumulative tooth pitch deviation to solve the error compensation amount (that is, the variable C of the hob speed g ),Proceed as follows:
[0066] ① Take out the amplitude A by filtering n Amplitude greater ...
Embodiment 3
[0076] Embodiment 3: Compensating the pitch error of gear hobbing through the periodic axial movement of the hob, specifically including the following steps:
[0077] 1) Through the on-machine measurement of the gear with machining allowance, the accumulative deviation data F of the tooth pitch of the gear is obtained pki
[0078] [F pki ] i = 1, 2, 3, ..., z (1)
[0079] That is to say, the accumulative deviation F of the pitch of k teeth pk ;
[0080] 2) The data measured in 1) are harmonically decomposed by discrete Fourier transform, and the amplitude spectrum and phase spectrum are obtained
[0081]
[0082] In the formula, A n is the amplitude of the Nth harmonic, is the phase angle of the Nth harmonic;
[0083] 3) Using the mathematical compensation model for cumulative tooth pitch deviation, the error compensation amount (that is, the hob axial periodic motion amount C gz ),Proceed as follows:
[0084] ① Take out the amplitude A by filtering n Amplitude g...
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