Involute gear shaping grinding wheel calculating method

Abstract

The invention provides an involute gear shaping grinding wheel calculating method which can calculate the shaping euqation of the formed grinding wheel based on a preset two-order transmission error so as to quickly determine the shaping amount of the gear. The involute gear shaping grinding wheel calculating method is used for calculating a shaping equation of the shaping grinding wheel for grinding an active wheel and a slave wheel according to the preset the two-order transmission error between the active wheel and the slave wheel. The method comprises steps of analyzing a two-order transmission error curve parabola function, establishing a mathematic model of a two-order transmission error, calculating a rotation angle of the slave wheel, obtaining an imaginary expanded tooth profile equation based on an expanded tooth bar method, calculating the imaginary active wheel expanded tooth profile, calculating the imaginary slave wheel expanded tooth profile having the two-order transmission error, and calculating the shaping equation of the shaping grinding wheel having the two-order transmission error.

Description

technical field [0001] The invention relates to a calculation method for an involute gear forming grinding wheel capable of calculating a forming equation of the forming grinding wheel based on a predetermined second-order transmission error so as to quickly determine the modification amount of the gear. Background technique [0002] The profile grinding method is a method of grinding the gear tooth profile with a profile grinding wheel. By controlling the profile of the profile of the profile of the profile of the gear, the adjustment of the parameters of the gear modification is realized, thereby improving the meshing performance of the gear. Therefore, the profile of the profile of the profile of the profile of the profile of the profile of the profile of the profile of the profile Calculation has always been the core issue in the process of profile grinding. [0003] The transmission error is an important index reflecting the vibration noise of the gear pair. Theoretica...

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Problems solved by technology

[0004] However, in fact, since the profile grinding method directly completes the profile grinding to obtain the involute gear pair by inputting the modification amount of the tooth profile, it is a "passive" design process, so the amplitude of the transmission error, etc. The shape and position parameters are not easy to control, and it often needs repeated trial grinding and adjustment to meet the design requirements. The trial grinding and adjustment process is complicated, which often makes the processing cycle too long; Subjective factors are relatively large in the process, and the adjustment direction of the modification parameters is not clear

In addition, due to the small amount of modification of the tooth profile, the precision and processing technology of the machine tool are required during the dressing and grinding process of the forming grinding wheel, and the processing is difficult.

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