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Under normal conditions, the tooth profile error curve generated during grinding is generally linear, that is, the pressure angle deviation occurs. In order to express the tooth shape pressure angle error, the tooth shape error is supplemented as follows: when the tooth root is convex, the tooth shape error is represented by a negative sign; when the tooth top is convex, the tooth shape error is represented by a positive sign. The tooth profile error curve is that the tooth root is slightly convex, that is, the pressure angle is too large; otherwise, the tooth profile error is. Production practice shows that the noise generated when a pair of gears mesh with each other is not only related to the tooth profile error of the gear, but also related to the tooth shape pressure angle error direction; when the tooth profile error is the same, the drive wheel pressure angle is slightly smaller The driven wheel pressure angle is advantageous for reducing noise.
The so-called gear pair integrated tooth shape error refers to the comprehensive error of the pressure angle of a pair of meshing gears, and defines the gear tooth integral tooth shape error as a pair of meshing gears. The pressure angle deviation of the driving wheel is based on the driven wheel pressure angle. . When the pressure angle error directions of the two gears are the same, the value is the difference between the two gear pressure angle errors; when the pressure angle errors of the two gears are opposite, the value is the sum of the two gear pressure angle errors. The symbol definition of the gear pair integrated tooth profile error is the same as the tooth profile error symbol specification of the aforementioned single gear. When the driving wheel pressure angle is greater than the driven wheel pressure angle, the gear pair integrated tooth shape error is a negative value; when the driving wheel pressure angle is smaller than the driven wheel pressure angle, the gear pair integrated tooth shape error is a positive value. That is, the gear pair integrated tooth profile error is the drive wheel tooth profile error of the pair of gears that are meshed minus the tooth profile error of the driven wheel.
The integrated tooth profile error of the gear pair and the integrated tooth profile error of the noise gear pair have a great influence on the gear transmission noise. The key to the gear transmission noise is the integrated tooth profile error of the gear pair of a pair of meshing gears, instead of the tooth profile error of a single gear. . Because the spectrometer gears are engaged with another pair of gears of comparable precision, rather than meshing with the standard gears as in the usual manufacturing inspection gears. Therefore, it is necessary to consider not only the size of a pair of gear tooth shapes but also the matching of the error direction, that is, the comprehensive tooth shape error of the gear pair. Just as the hole and the shaft are matched, not only the tolerance but also the direction of the deviation should be considered. .
Since the driving wheel pressure angle is slightly smaller than the driven wheel pressure angle and the gear pair integrated tooth shape error is small and positive, the base of the driving wheel is slightly larger than the driven wheel. When the nut is engaged, the top of the driving wheel is in contact with the root of the driven wheel. The elastic deformation of the tooth causes the base of the driving wheel to be slightly reduced, and the base of the driven wheel is slightly increased. The elastic deformation of the teeth during the engagement is composed of two parts: the bending deformation and the contact deformation of the teeth. When the teeth are bent, the deformation of the gear teeth mainly occurs on the driving wheel, and the bending deformation of the driving wheel teeth when the teeth are engaged reduces the base joint. The contact deformation reduces the base of the driving wheel and increases the base of the driven wheel. The sum of the contact deformation of the main driven gear teeth is the sum of the knuckle changes caused by the contact deformation of the main driven wheel teeth. The amount of change in the base section of the main driven wheel caused by the elastic deformation of the gears compensates for part of the base pitch, so that the meshing process is smooth, so the noise is low. Therefore, in production, not only the tooth profile error of a single gear is to be controlled, but more importantly, the gear tooth error of a pair of gears is controlled to make the value smaller and positive.
Therefore, according to the tooth shape pressure angle error, the tooth profile error in the national standard is supplemented, the sign of the tooth profile error is specified, the concept of the gear pair integrated tooth profile error is proposed, and the relationship between the gear pair error and the noise is proposed. A qualitative analysis was carried out and the results were consistent with the actual results. The results show that the integrated tooth profile error of the gear pair has a great influence on the noise. The paired grinding method during grinding and the tooth shape matching method in the assembly and the gear pairing check in the shaving are the specific applications of the concept of controlling the gear tooth pair comprehensive tooth shape error in production. Practice has proved that these methods are effective in reducing gear transmission noise. The concept of gear pair integrated tooth profile error is of great significance to the design and manufacture of gears.
